Optimal control approach for establishing wMelPop wolbachia infection among wild aedes aegypti populations
Wolbachia-based biocontrol has recently emerged as a potential method for prevention and control of dengue and other vector-borne diseases. Major vector species, such as Aedes aegypti females, when deliberately infected with Wolbachia become less capable of getting viral infections and transmitting...
- Autores:
-
Cardona Salgado, Daiver
Campo Duarte, Doris Elena
Svinin, Mikhail
Vasilieva, Olga
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2018
- Institución:
- Universidad Autónoma de Occidente
- Repositorio:
- RED: Repositorio Educativo Digital UAO
- Idioma:
- eng
- OAI Identifier:
- oai:red.uao.edu.co:10614/11386
- Palabra clave:
- Dengue
Animales vectores
Animals as carriers of disease
Wolbachia-based biocontrol
WMelPop strain
Aedes aegypti
Sex-structured model
Optimal control
Optimal release policies
- Rights
- openAccess
- License
- Derechos Reservados - Universidad Autónoma de Occidente
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| dc.title.eng.fl_str_mv |
Optimal control approach for establishing wMelPop wolbachia infection among wild aedes aegypti populations |
| title |
Optimal control approach for establishing wMelPop wolbachia infection among wild aedes aegypti populations |
| spellingShingle |
Optimal control approach for establishing wMelPop wolbachia infection among wild aedes aegypti populations Dengue Animales vectores Animals as carriers of disease Wolbachia-based biocontrol WMelPop strain Aedes aegypti Sex-structured model Optimal control Optimal release policies |
| title_short |
Optimal control approach for establishing wMelPop wolbachia infection among wild aedes aegypti populations |
| title_full |
Optimal control approach for establishing wMelPop wolbachia infection among wild aedes aegypti populations |
| title_fullStr |
Optimal control approach for establishing wMelPop wolbachia infection among wild aedes aegypti populations |
| title_full_unstemmed |
Optimal control approach for establishing wMelPop wolbachia infection among wild aedes aegypti populations |
| title_sort |
Optimal control approach for establishing wMelPop wolbachia infection among wild aedes aegypti populations |
| dc.creator.fl_str_mv |
Cardona Salgado, Daiver Campo Duarte, Doris Elena Svinin, Mikhail Vasilieva, Olga |
| dc.contributor.author.none.fl_str_mv |
Cardona Salgado, Daiver Campo Duarte, Doris Elena Svinin, Mikhail Vasilieva, Olga |
| dc.subject.armarc.spa.fl_str_mv |
Dengue Animales vectores |
| topic |
Dengue Animales vectores Animals as carriers of disease Wolbachia-based biocontrol WMelPop strain Aedes aegypti Sex-structured model Optimal control Optimal release policies |
| dc.subject.armarc.eng.fl_str_mv |
Animals as carriers of disease |
| dc.subject.proposal.eng.fl_str_mv |
Wolbachia-based biocontrol WMelPop strain Aedes aegypti Sex-structured model Optimal control Optimal release policies |
| description |
Wolbachia-based biocontrol has recently emerged as a potential method for prevention and control of dengue and other vector-borne diseases. Major vector species, such as Aedes aegypti females, when deliberately infected with Wolbachia become less capable of getting viral infections and transmitting the virus to human hosts. In this paper, we propose an explicit sex-structured population model that describes an interaction of uninfected (wild) male and female mosquitoes and those deliberately infected with wMelPop strain of Wolbachia in the same locality. This particular strain of Wolbachia is regarded as the best blocker of dengue and other arboviral infections. However, wMelPop strain of Wolbachia also causes the loss of individual fitness in Aedes aegypti mosquitoes. Our model allows for natural introduction of the decision (or control) variable, and we apply the optimal control approach to simulate wMelPop Wolbachia infestation of wild Aedes aegypti populations. The control action consists in continuous periodic releases of mosquitoes previously infected with wMelPop strain of Wolbachia in laboratory conditions. The ultimate purpose of control is to find a tradeoff between reaching the population replacement in minimum time and with minimum cost of the control effort. This approach also allows us to estimate the number of Wolbachia-carrying mosquitoes to be released in day-by-day control action. The proposed method of biological control is safe to human health, does not contaminate the environment, does not make harm to non-target species, and preserves their interaction with mosquitoes in the ecosystem |
| publishDate |
2018 |
| dc.date.issued.none.fl_str_mv |
2018-02-10 |
| dc.date.accessioned.none.fl_str_mv |
2019-11-01T20:57:14Z |
| dc.date.available.none.fl_str_mv |
2019-11-01T20:57:14Z |
| dc.type.spa.fl_str_mv |
Artículo de revista |
| dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.coarversion.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| dc.type.coar.eng.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
| dc.type.content.eng.fl_str_mv |
Text |
| dc.type.driver.eng.fl_str_mv |
info:eu-repo/semantics/article |
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http://purl.org/redcol/resource_type/ARTREF |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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publishedVersion |
| dc.identifier.issn.spa.fl_str_mv |
0303-6812 |
| dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/10614/11386 |
| dc.identifier.doi.spa.fl_str_mv |
https://doi.org/10.1007/s00285-018-1213-2 |
| identifier_str_mv |
0303-6812 |
| url |
http://hdl.handle.net/10614/11386 https://doi.org/10.1007/s00285-018-1213-2 |
| dc.language.iso.eng.fl_str_mv |
eng |
| language |
eng |
| dc.relation.citationendpage.none.fl_str_mv |
1950 |
| dc.relation.citationissue.none.fl_str_mv |
7 |
| dc.relation.citationstartpage.none.fl_str_mv |
1907 |
| dc.relation.citationvolume.none.fl_str_mv |
76 |
| dc.relation.cites.spa.fl_str_mv |
Campo-Duarte, D. E., Vasilieva, O., Cardona-Salgado, D., & Svinin, M. (2018). Optimal control approach for establishing wMelPop Wolbachia infection among wild Aedes aegypti populations. Journal of mathematical biology, 76(7), 1907-1950. https://doi.org/10.1007/s00285-018-1213-2 |
| dc.relation.ispartofjournal.eng.fl_str_mv |
Mathematical Biology, volumen 76, issue 7, páginas 1907-1950, 2018 |
| dc.relation.references.none.fl_str_mv |
Ascher UM, Mattheij RMM, Russell RD (1988) Numerical solution of boundary value problems for ordinary differential equations. Prentice Hall series in computational mathematics. Prentice Hall Inc., Englewood Cliffs Barton N, Turelli M (2011) Spatial waves of advance with bistable dynamics: cytoplasmic and genetic analogues of Allee effects. Am Nat 178(3):E48–E75 Bian G, Xu Y, Lu P, Xie Y, Xi Z (2010) The endosymbiotic bacterium Wolbachia induces resistance to dengue virus in Aedes aegypti. PLoS Pathog 6(4):e1000,833 Blayneh K, Cao Y, Kwon HD (2009) Optimal control of vector-borne diseases: treatment and prevention. Discrete Contin Dyn Syst B 11(3):587–611. https://doi.org/10.3934/dcdsb.2009.11.587 Bliman PA, Aronna MS, da Silva MA, et al (2015) Global stabilizing feedback law for a problem of biological control of mosquito-borne diseases. In: 2015 54th IEEE conference on decision and control (CDC). IEEE, pp 3206–3211 Brauer F, Castillo-Chávez C (2012) Mathematical models in population biology and epidemiology. Texts Appl Math. https://doi.org/10.1007/978-1-4614-1686-9 Brown JE, McBride CS, Johnson P, Ritchie S, Paupy C, Bossin H, Lutomiah J, Fernandez-Salas I, Ponlawat A, Cornel AJ, Black WC, Gorrochotegui-Escalante N, Urdaneta-Marquez L, Sylla M, Slotman M, Murray KO, Walker C, Powell JR (2011) Worldwide patterns of genetic differentiation imply multiple “domestications” of Aedes aegypti, a major vector of human diseases. Proc R Soc B Biol Sci 278(1717):2446–2454 Bryson A, Ho YC (1975) Applied optimal control: optimization, estimation and control. Halsted Press Book, New York Bull JJ, Turelli M (2013) Wolbachia versus dengue evolutionary forecasts. Evol Med Public Health 2013(1):197–207 Campo-Duarte DE, Cardona-Salgado D, Vasilieva O (2017a) Establishing wMelPop Wolbachia infection among wild Aedes aegypti females by optimal control approach. Appl Math Inf Sci 11(4):1011–1027. https://doi.org/10.18576/amis/110408 Campo-Duarte DE,Vasilieva O, Cardona-SalgadoD(2017b) Optimal control for enhancement ofWolbachia frequency among Aedes aegypti females. Int J Pure Appl Math 112(2):219–238. https://doi.org/10.12732/ijpam.v112i2.1 Castillo-Chávez C, Feng Z, Huang W (2002) On the computation of Ro and its role on global stability. In: Castillo-Chávez C, Blower S, Driessche P, Kirschner D, Yakubu A (eds)Mathematical approaches for emerging and reemerging infectious diseases: an introduction, vol 125. Springer, Berlin, pp 229–250 Caswell H, Weeks DE (1986) Two-sex models: chaos, extinction, and other dynamic consequences of sex. Am Nat 128(5):707–735 Chan M, Johansson MA (2012) The incubation periods of dengue viruses. PloS ONE 7(11):e50,972 Coelho FC, Codeço CT,GomesMGM(2011)ABayesian framework for parameter estimation in dynamical models. PloS ONE 6(5):e19,616 Denlinger DL, Armbruster PA (2014) Mosquito diapause. Ann Rev Entomol 59:73–93 Diekmann O, Heesterbeek J (2000) Mathematical epidemiology of infectious diseases: model building, analysis and interpretation. Wiley, Hoboken Wiley Series in Mathematical & Computational Biology Diekmann O, Heesterbeek J, Metz J (1990) On the definition and the computation of the basic reproduction ratio Ro in models for infectious diseases in heterogeneous populations. J Math Biol 28(4):365–382 Domínguez MC, Ludueña-Almeida FF, Almirón WR (2000) Dinámica poblacional de Aedes aegypti (Diptera: Culicidae) en Córdoba capital [Population dynamics of Aedes aegypti (Diptera: Culicidae) in Cordoba capital]. Revista de la Sociedad Entomológica Argentina 59(1–4):41–50 DutraHLC,Rocha MN,Dias FBS, Mansur SB,Caragata EP,Moreira LA(2016)Wolbachia blocks currently circulating Zika virus isolates in Brazilian Aedes aegypti mosquitoes. Cell Host Microbe 19(6):771–774 Dye C (1984) Models for the population dynamics of the yellow fever mosquito, Aedes aegypti. J Anim Ecol 53(1):247–268 Farkas JZ, Hinow P (2010) Structured and unstructured continuous models for Wolbachia infections. Bull Math Biol 72(8):2067–2088 Farkas JZ, Gourley SA, Liu R, Yakubu AA (2017) Modelling Wolbachia infection in a sex-structured mosquito population carrying West Nile virus. J Math Biol 75(3):621–647. https://doi.org/10.1007/s00285-017-1096-7 Farkas M (2001) Dynamical models in biology. Elsevier, Amsterdam Ferguson NM, Kien DTH, Clapham H, Aguas R, Trung VT, Chau TNB, Popovici J, Ryan PA, O’Neill SL, McGraw EA, Long VT, Dui LT, Nguyen HL, Vinh Chau NV,Wills B, Simmons CP (2015) Modeling the impact on virus transmission ofWolbachia-mediated blocking of dengue virus infection of Aedes aegypti. Sci Transl Med 7(279):279ra37–279ra37 Fleming W, Rishel R (1975) Deterministic and stochastic optimal control. Springer, New York Frentiu FD,Walker T, O’Neill SL (2014a) Biological control of dengue andWolbachia-based strategies. In: Gubler D, Ooi E, Vasudevan S, Farrar J (eds) Dengue and dengue hemorrhagic fever, 2nd edn. CAB Books, CABI Frentiu FD, Zakir T, Walker T, Popovici J, Pyke AT, van den Hurk A, McGraw EA, O’Neill SL (2014b) Limited dengue virus replication in field-collected Aedes aegypti mosquitoes infected withWolbachia. PLoS Negl Trop Dis 8(2):e2688 Garg D, PattersonMA, DarbyCL, Francolin C, HuntingtonGT,HagerWW,RaoAV(2009) Direct trajectory optimization and costate estimation of general optimal control problems using a Radau pseudospectral method. In: Proceedings of the AIAA guidance, navigation, and control conference and exhibit Hancock PA, Godfray HCJ (2012) Modelling the spread of Wolbachia in spatially heterogeneous environments. J R Soc Interface 9(76):3045–3054 Hancock PA, Sinkins SP, Godfray HCJ (2011a) Population dynamic models of the spread of Wolbachia. Am Nat 177(3):323–333 Hancock PA, Sinkins SP, Godfray HCJ (2011b) Strategies for introducingWolbachia to reduce transmission of mosquito-borne diseases. PLoS Negl Trop Dis 5(4):e1024 Hilgenboecker K, Hammerstein P, Schlattmann P, Telschow A, Werren JH (2008) How many species are infected with Wolbachia?—A statistical analysis of current data. FEMS Microbiol Lett 281(2):215–220 Hoffmann A, Montgomery B, Popovici J, Iturbe-Ormaetxe I, Johnson P, Muzzi F, Greenfield M, Durkan M, Leong Y, Dong Y, Cook H, Axford J, Callahan A, Kenny N, Omodei C,McGraw E, Ryan P, Ritchie S, Turelli M, O’Neill S (2011) Successful establishment of Wolbachia in Aedes populations to suppress dengue transmission. Nature 476(7361):454–457 Hoffmann AA (2014) Facilitating Wolbachia invasions. Austral Entomol 53(2):125–132 Hoffmann AA, Turelli M (2013) Facilitating Wolbachia introductions into mosquito populations through insecticide-resistance selection. Proc R Soc Lond B Biol Sci 280(1760):20130371 Hughes H, Britton NF (2013) Modelling the use of Wolbachia to control dengue fever transmission. Bull Math Biol 75(5):796–818 Hurst TP, Pittman G, O’Neill SL, Ryan PA, Le Nguyen H, Kay BH (2012) Impacts of Wolbachia infection on predator prey relationships: evaluating survival and horizontal transfer between wMelPop infected Aedes aegypti and its predators. J Med Entomol 49(3):624–630 Jansen CC, Beebe NW (2010) The dengue vector Aedes aegypti: what comes next. Microbes Infect 12(4):272–279 Keyfitz N (1972) The mathematics of sex and marriage. In: Proceedings of the sixth Berkeley symposium on mathematical statistics and probability, vol 4. University of California Press, Berkeley, pp 89–108 Kobayashi Y, Telschow A (2010) Cytoplasmic feminizing elements in a two-population model: infection dynamics, gene flowmodification, and the spread of autosomal suppressors. J Evolut Biol 23(12):2558–2568 Koiller J, Da Silva M, Souza M, Codeço C, Iggidr A, Sallet G (2014) Aedes, Wolbachia and Dengue. Technical report Kot M (2001) Elements of mathematical ecology. Cambridge University Press, Cambridge Kroese DP, Taimre T, Botev ZI (2011) Handbook of Monte Carlo methods, vol 706.Wiley series in probability and statistics. Wiley, Hoboken Lawson AB (2006) Statistical methods in spatial epidemiology, 2nd edn. Wiley series in probability and statistics. Wiley, Hoboken Lenhart S,Workman JT (2007) Optimal control applied to biological models. Chapman & Hall/CRC, Boca Raton Liles JN (1965) Effects of mating or association of the sexes on longevity in Aedes aegypti (l.). Mosquito News 25:434–439 Lindström J, Kokko H (1998) Sexual reproduction and population dynamics: the role of polygyny and demographic sex differences. Proc R Soc Lond B Biol Sci 265(1395):483–488 Manore CA, Hickmann KS, Xu S, Wearing HJ, Hyman JM (2014) Comparing dengue and chikungunya emergence and endemic transmission in A. aegypti and A. albopictus. J Theor Biol 356:174–191 McGraw EA, O’Neill SL (2013) Beyond insecticides: new thinking on an ancient problem. Nat RevMicrobiol 11(3):181–193. https://doi.org/10.1038/nrmicro2968 McMeniman C et al (2009) Stable introduction of a life-shortening Wolbachia infection into the mosquito Aedes aegypti. Science 323(5910):141–144 McMeniman CJ, O’Neill SL (2010) A virulent Wolbachia infection decreases the viability of the dengue vector Aedes aegypti during periods of embryonic quiescence. PLoS Negl Trop Dis 4(7):e748 Moreira LA, Iturbe-Ormaetxe I, Jeffery JA, Lu G, Pyke AT, Hedges LM, Rocha BC, Hall-Mendelin S, Day A, Riegler M et al (2009) A Wolbachia symbiont in Aedes aegypti limits infection with dengue, chikungunya, and plasmodium. Cell 139(7):1268–1278 Moulay D, Aziz-Alaoui MA, Kwon HD (2012) Optimal control of chikungunya disease: larvae reduction, treatment and prevention. Math Biosci Eng 9(2):369–392. https://doi.org/10.3934/mbe.2012.9.369 Ndii MZ, Hickson R, Allingham D, Mercer G (2015) Modelling the transmission dynamics of dengue in the presence of Wolbachia. Math Biosci 262:157–166 Nguyen T, Le Nguyen H, Nguyen T, Vu S, Tran N, Le T, Vien Q, Bui T, Le H, Kutcher S, Hurst T, Duong T, Jeffery J, Darbro J, Kay H, Iturbe-Ormaetxe I, Popovici J, Montgomery B, Turley A, Zigterman F, Cook H, Cook P, Johnson P, Ryan P, Paton C, Ritchie S, Simmons C, O’Neill S, Hoffmann A (2015) Field evaluation of the establishment potential of wMelPop Wolbachia in Australia and Vietnam for dengue control. Parasit Vectors 8(1):1 Okosun KO, Ouifki R, Marcus N (2011) Optimal control analysis of a malaria disease transmission model that includes treatment and vaccination with waning immunity. Biosystems 106(2):136–145. https://doi.org/10.1016/j.biosystems.2011.07.006 Okosun KO, Rachid O, Marcus N (2013) Optimal control strategies and cost-effectiveness analysis of a malaria model. BioSystems 111(2):83–101. https://doi.org/10.1016/j.biosystems.2012.09.008 PattersonMA, Rao AV (2014) GPOPS-II: AMATLAB software for solving multiple-phase optimal control problems using hp-adaptive Gaussian quadrature collocation methods and sparse nonlinear programming. ACM Trans Math Softw (TOMS) 41(1):1 Popovici J, MoreiraLA, Poinsignon A, Iturbe-Ormaetxe I,McNaughton D, O’Neill SL (2010) Assessing key safety concerns of a Wolbachia-based strategy to control dengue transmission by Aedes mosquitoes. Memórias do Instituto Oswaldo Cruz 105(8):957–964 Ritchie SA, Montgomery BL, Hoffmann AA (2013) Novel estimates of Aedes aegypti (Diptera: Culicidae) population size and adult survival based on Wolbachia releases. J Med Entomol 50(3):624–631 Ritchie SA,Townsend M, PatonCJ, CallahanAG, HoffmannAA(2015) Application ofwMelPopWolbachia strain to crash local populations of Aedes aegypti. PLoS Negl Trop Dis 9(7):e0003930 Roberts SM, Shipman JS (1972) Two-point boundary value problems: shooting methods. In: Modern analytic and computational methods in science and mathematics, vol 31. Elsevier, New York Rockwood LL (2015) Introduction to population ecology, 2nd edn. Wiley, Hoboken Ross PA,EndersbyNM,Yeap HL,HoffmannAA(2014) Larval competition extends developmental time and decreases adult size of wMelPop Wolbachia-infected Aedes aegypti. Am J Trop Med Hyg 91(1):198– Ruang-Areerate T, Kittayapong P (2006)Wolbachia transinfection in Aedes aegypti: a potential gene driver of dengue vectors. Proc Natl Acad Sci 103(33):12534–12539 Schraiber JG, Kaczmarczyk AN, Kwok R, Park M, Silverstein R, Rutaganira FU, Aggarwal T, Schwemmer MA, Hom CL, Grosberg RK et al (2012) Constraints on the use of lifespan-shortening Wolbachia to control dengue fever. J Theor Biol 297:26–32 Sepúlveda LS, Vasilieva O (2016) Optimal control approach to dengue reduction and prevention in Cali, Colombia. Math Methods Appl Sci 39(18):5475–5496 Sepúlveda-Salcedo LS, Vasilieva O, Martínez-Romero HJ, Arias-Castro JH (2015) Ross-Macdonald: Un modelo para la dinámica del dengue en Cali. Colombia. Revista de Salud Pública 17(5):749–761 Sinkins SP (2004) Wolbachia and cytoplasmic incompatibility in mosquitoes. Insect Biochem Mol Biol 34(7):723–729 Sinkins SP (2013) Wolbachia and arbovirus inhibition in mosquitoes. Future Microbiol 8(10):1249–1256 Soares-Pinheiro V, Dasso-PinheiroW, Trindade-Bezerra J, TadeiW(2017) Eggs viability of Aedes aegypti Linnaeus (Diptera, Culicidae) under different environmental and storage conditions in Manaus, Amazonas. Brazil. Braz J Biol 77(2):396–401 Styer LM, Minnick SL, Sun AK, Scott TW (2007) Mortality and reproductive dynamics of Aedes aegypti (Diptera: Culicidae) fed human blood. Vector Borne Zoonotic Dis 7(1):86–98 Telschow A, Flor M, Kobayashi Y, Hammerstein P, Werren JH (2007) Wolbachia-induced unidirectional cytoplasmic incompatibility and speciation: mainland-island model. PLoS ONE 2(8):e701 Thieme H (2003) Mathematics in population biology. Mathematical biology series. Princeton University Press, Princeton Turelli M (2010) Cytoplasmic incompatibility in populations with overlapping generations. Evolution 64(1):232–241 Turelli M, HoffmannAA(1991) Rapi d spread of an inherited incompatibility factor inCaliforniaDrosophila. Nature 353(6343):440–442 Walker T, Johnson P, Moreira L, Iturbe-Ormaetxe I, Frentiu F, McMeniman C, Leong Y, Dong Y, Axford J, Kriesner P, Lloyd A, Ritchie S, O’Neill S, Hoffmann A (2011) The wMel Wolbachia strain blocks dengue and invades caged Aedes aegypti populations. Nature 476(7361):450–453 Williams CR, Johnson P, BallT, Ritchie S (2013) Productivity and population density estimates of the dengue vector mosquito Aedes aegypti (Stegomyia aegypti) in Australia. Med Vet Entomol 27(3):313–322 Woolfit M, Iturbe-Ormaetxe I, Brownlie JC, Walker T, Riegler M, Seleznev A, Popovici J, Rancès E, Wee BA, Pavlides J et al (2013) Genomic evolution of the pathogenicWolbachia strain, wMelPop. Genome Biol Evol 5(11):2189–2204 Xi Z, Khoo CC, Dobson SL (2005) Wolbachia establishment and invasion in an Aedes aegypti laboratory population. Science 310(5746):326–328 Yamauchi A, Telschow A, Kobayashi Y (2010) Evolution of cytoplasmic sex ratio distorters: Effect of paternal transmission. J Theoret Biol 266(1):79–87 Yeap HL, Mee P, Walker T, Weeks AR, O’Neill SL, Johnson P, Ritchie SA, Richardson KM, Doig C, Endersby NM, Hoffmann AA (2011) Dynamics of the “popcorn” Wolbachia infection in outbred Aedes aegypti informs prospects for mosquito vector control. Genetics 187(2):583–595 Yeap HL, Axford JK, Popovici J, Endersby NM, Iturbe-Ormaetxe I, Ritchie SA, Hoffmann AA (2014) Assessing quality of life-shortening Wolbachia-infected Aedes aegypti mosquitoes in the field based on capture rates andmorphometric assessments. ParasitesVectors 7(58):1–13. https://doi.org/10.1186/1756-3305-7-58 |
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Cardona Salgado, Daivervirtual::1170-1Campo Duarte, Doris Elenavirtual::999-1Svinin, Mikhailfa924ba63fdfc46bcc4bd3457a6f9403Vasilieva, Olga31f6a4db00254953edddbca148e36487Universidad Autónoma de Occidente. Calle 25 115-85. Km 2 vía Cali-Jamundí2019-11-01T20:57:14Z2019-11-01T20:57:14Z2018-02-100303-6812http://hdl.handle.net/10614/11386https://doi.org/10.1007/s00285-018-1213-2Wolbachia-based biocontrol has recently emerged as a potential method for prevention and control of dengue and other vector-borne diseases. Major vector species, such as Aedes aegypti females, when deliberately infected with Wolbachia become less capable of getting viral infections and transmitting the virus to human hosts. In this paper, we propose an explicit sex-structured population model that describes an interaction of uninfected (wild) male and female mosquitoes and those deliberately infected with wMelPop strain of Wolbachia in the same locality. This particular strain of Wolbachia is regarded as the best blocker of dengue and other arboviral infections. However, wMelPop strain of Wolbachia also causes the loss of individual fitness in Aedes aegypti mosquitoes. Our model allows for natural introduction of the decision (or control) variable, and we apply the optimal control approach to simulate wMelPop Wolbachia infestation of wild Aedes aegypti populations. The control action consists in continuous periodic releases of mosquitoes previously infected with wMelPop strain of Wolbachia in laboratory conditions. The ultimate purpose of control is to find a tradeoff between reaching the population replacement in minimum time and with minimum cost of the control effort. This approach also allows us to estimate the number of Wolbachia-carrying mosquitoes to be released in day-by-day control action. The proposed method of biological control is safe to human health, does not contaminate the environment, does not make harm to non-target species, and preserves their interaction with mosquitoes in the ecosystemapplication/pdf44 páginasengSpringer VerlagDerechos Reservados - Universidad Autónoma de Occidentehttps://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)http://purl.org/coar/access_right/c_abf2reponame:Repositorio Institucional UAOOptimal control approach for establishing wMelPop wolbachia infection among wild aedes aegypti populationsArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTREFinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85DengueAnimales vectoresAnimals as carriers of diseaseWolbachia-based biocontrolWMelPop strainAedes aegyptiSex-structured modelOptimal controlOptimal release policies19507190776Campo-Duarte, D. E., Vasilieva, O., Cardona-Salgado, D., & Svinin, M. (2018). Optimal control approach for establishing wMelPop Wolbachia infection among wild Aedes aegypti populations. Journal of mathematical biology, 76(7), 1907-1950. https://doi.org/10.1007/s00285-018-1213-2Mathematical Biology, volumen 76, issue 7, páginas 1907-1950, 2018Ascher UM, Mattheij RMM, Russell RD (1988) Numerical solution of boundary value problems for ordinary differential equations. Prentice Hall series in computational mathematics. Prentice Hall Inc., Englewood CliffsBarton N, Turelli M (2011) Spatial waves of advance with bistable dynamics: cytoplasmic and genetic analogues of Allee effects. Am Nat 178(3):E48–E75Bian G, Xu Y, Lu P, Xie Y, Xi Z (2010) The endosymbiotic bacterium Wolbachia induces resistance to dengue virus in Aedes aegypti. PLoS Pathog 6(4):e1000,833Blayneh K, Cao Y, Kwon HD (2009) Optimal control of vector-borne diseases: treatment and prevention. Discrete Contin Dyn Syst B 11(3):587–611. https://doi.org/10.3934/dcdsb.2009.11.587Bliman PA, Aronna MS, da Silva MA, et al (2015) Global stabilizing feedback law for a problem of biological control of mosquito-borne diseases. In: 2015 54th IEEE conference on decision and control (CDC). IEEE, pp 3206–3211Brauer F, Castillo-Chávez C (2012) Mathematical models in population biology and epidemiology. Texts Appl Math. https://doi.org/10.1007/978-1-4614-1686-9Brown JE, McBride CS, Johnson P, Ritchie S, Paupy C, Bossin H, Lutomiah J, Fernandez-Salas I, Ponlawat A, Cornel AJ, Black WC, Gorrochotegui-Escalante N, Urdaneta-Marquez L, Sylla M, Slotman M, Murray KO, Walker C, Powell JR (2011) Worldwide patterns of genetic differentiation imply multiple “domestications” of Aedes aegypti, a major vector of human diseases. Proc R Soc B Biol Sci 278(1717):2446–2454Bryson A, Ho YC (1975) Applied optimal control: optimization, estimation and control. Halsted Press Book, New YorkBull JJ, Turelli M (2013) Wolbachia versus dengue evolutionary forecasts. Evol Med Public Health 2013(1):197–207Campo-Duarte DE, Cardona-Salgado D, Vasilieva O (2017a) Establishing wMelPop Wolbachia infection among wild Aedes aegypti females by optimal control approach. Appl Math Inf Sci 11(4):1011–1027. https://doi.org/10.18576/amis/110408Campo-Duarte DE,Vasilieva O, Cardona-SalgadoD(2017b) Optimal control for enhancement ofWolbachia frequency among Aedes aegypti females. Int J Pure Appl Math 112(2):219–238. https://doi.org/10.12732/ijpam.v112i2.1Castillo-Chávez C, Feng Z, Huang W (2002) On the computation of Ro and its role on global stability. In: Castillo-Chávez C, Blower S, Driessche P, Kirschner D, Yakubu A (eds)Mathematical approaches for emerging and reemerging infectious diseases: an introduction, vol 125. Springer, Berlin, pp 229–250Caswell H, Weeks DE (1986) Two-sex models: chaos, extinction, and other dynamic consequences of sex. Am Nat 128(5):707–735Chan M, Johansson MA (2012) The incubation periods of dengue viruses. PloS ONE 7(11):e50,972Coelho FC, Codeço CT,GomesMGM(2011)ABayesian framework for parameter estimation in dynamical models. PloS ONE 6(5):e19,616Denlinger DL, Armbruster PA (2014) Mosquito diapause. Ann Rev Entomol 59:73–93Diekmann O, Heesterbeek J (2000) Mathematical epidemiology of infectious diseases: model building, analysis and interpretation. Wiley, Hoboken Wiley Series in Mathematical & Computational BiologyDiekmann O, Heesterbeek J, Metz J (1990) On the definition and the computation of the basic reproduction ratio Ro in models for infectious diseases in heterogeneous populations. J Math Biol 28(4):365–382Domínguez MC, Ludueña-Almeida FF, Almirón WR (2000) Dinámica poblacional de Aedes aegypti (Diptera: Culicidae) en Córdoba capital [Population dynamics of Aedes aegypti (Diptera: Culicidae) in Cordoba capital]. Revista de la Sociedad Entomológica Argentina 59(1–4):41–50DutraHLC,Rocha MN,Dias FBS, Mansur SB,Caragata EP,Moreira LA(2016)Wolbachia blocks currently circulating Zika virus isolates in Brazilian Aedes aegypti mosquitoes. Cell Host Microbe 19(6):771–774Dye C (1984) Models for the population dynamics of the yellow fever mosquito, Aedes aegypti. J Anim Ecol 53(1):247–268Farkas JZ, Hinow P (2010) Structured and unstructured continuous models for Wolbachia infections. Bull Math Biol 72(8):2067–2088Farkas JZ, Gourley SA, Liu R, Yakubu AA (2017) Modelling Wolbachia infection in a sex-structured mosquito population carrying West Nile virus. J Math Biol 75(3):621–647. https://doi.org/10.1007/s00285-017-1096-7Farkas M (2001) Dynamical models in biology. Elsevier, AmsterdamFerguson NM, Kien DTH, Clapham H, Aguas R, Trung VT, Chau TNB, Popovici J, Ryan PA, O’Neill SL, McGraw EA, Long VT, Dui LT, Nguyen HL, Vinh Chau NV,Wills B, Simmons CP (2015) Modeling the impact on virus transmission ofWolbachia-mediated blocking of dengue virus infection of Aedes aegypti. Sci Transl Med 7(279):279ra37–279ra37Fleming W, Rishel R (1975) Deterministic and stochastic optimal control. Springer, New YorkFrentiu FD,Walker T, O’Neill SL (2014a) Biological control of dengue andWolbachia-based strategies. In: Gubler D, Ooi E, Vasudevan S, Farrar J (eds) Dengue and dengue hemorrhagic fever, 2nd edn. CAB Books, CABIFrentiu FD, Zakir T, Walker T, Popovici J, Pyke AT, van den Hurk A, McGraw EA, O’Neill SL (2014b) Limited dengue virus replication in field-collected Aedes aegypti mosquitoes infected withWolbachia. PLoS Negl Trop Dis 8(2):e2688Garg D, PattersonMA, DarbyCL, Francolin C, HuntingtonGT,HagerWW,RaoAV(2009) Direct trajectory optimization and costate estimation of general optimal control problems using a Radau pseudospectral method. In: Proceedings of the AIAA guidance, navigation, and control conference and exhibitHancock PA, Godfray HCJ (2012) Modelling the spread of Wolbachia in spatially heterogeneous environments. J R Soc Interface 9(76):3045–3054Hancock PA, Sinkins SP, Godfray HCJ (2011a) Population dynamic models of the spread of Wolbachia. Am Nat 177(3):323–333Hancock PA, Sinkins SP, Godfray HCJ (2011b) Strategies for introducingWolbachia to reduce transmission of mosquito-borne diseases. PLoS Negl Trop Dis 5(4):e1024Hilgenboecker K, Hammerstein P, Schlattmann P, Telschow A, Werren JH (2008) How many species are infected with Wolbachia?—A statistical analysis of current data. FEMS Microbiol Lett 281(2):215–220Hoffmann A, Montgomery B, Popovici J, Iturbe-Ormaetxe I, Johnson P, Muzzi F, Greenfield M, Durkan M, Leong Y, Dong Y, Cook H, Axford J, Callahan A, Kenny N, Omodei C,McGraw E, Ryan P, Ritchie S, Turelli M, O’Neill S (2011) Successful establishment of Wolbachia in Aedes populations to suppress dengue transmission. Nature 476(7361):454–457Hoffmann AA (2014) Facilitating Wolbachia invasions. Austral Entomol 53(2):125–132Hoffmann AA, Turelli M (2013) Facilitating Wolbachia introductions into mosquito populations through insecticide-resistance selection. Proc R Soc Lond B Biol Sci 280(1760):20130371Hughes H, Britton NF (2013) Modelling the use of Wolbachia to control dengue fever transmission. Bull Math Biol 75(5):796–818Hurst TP, Pittman G, O’Neill SL, Ryan PA, Le Nguyen H, Kay BH (2012) Impacts of Wolbachia infection on predator prey relationships: evaluating survival and horizontal transfer between wMelPop infected Aedes aegypti and its predators. J Med Entomol 49(3):624–630Jansen CC, Beebe NW (2010) The dengue vector Aedes aegypti: what comes next. Microbes Infect 12(4):272–279Keyfitz N (1972) The mathematics of sex and marriage. In: Proceedings of the sixth Berkeley symposium on mathematical statistics and probability, vol 4. University of California Press, Berkeley, pp 89–108Kobayashi Y, Telschow A (2010) Cytoplasmic feminizing elements in a two-population model: infection dynamics, gene flowmodification, and the spread of autosomal suppressors. J Evolut Biol 23(12):2558–2568Koiller J, Da Silva M, Souza M, Codeço C, Iggidr A, Sallet G (2014) Aedes, Wolbachia and Dengue. Technical reportKot M (2001) Elements of mathematical ecology. Cambridge University Press, CambridgeKroese DP, Taimre T, Botev ZI (2011) Handbook of Monte Carlo methods, vol 706.Wiley series in probability and statistics. Wiley, HobokenLawson AB (2006) Statistical methods in spatial epidemiology, 2nd edn. Wiley series in probability and statistics. Wiley, HobokenLenhart S,Workman JT (2007) Optimal control applied to biological models. Chapman & Hall/CRC, Boca RatonLiles JN (1965) Effects of mating or association of the sexes on longevity in Aedes aegypti (l.). Mosquito News 25:434–439Lindström J, Kokko H (1998) Sexual reproduction and population dynamics: the role of polygyny and demographic sex differences. Proc R Soc Lond B Biol Sci 265(1395):483–488Manore CA, Hickmann KS, Xu S, Wearing HJ, Hyman JM (2014) Comparing dengue and chikungunya emergence and endemic transmission in A. aegypti and A. albopictus. J Theor Biol 356:174–191McGraw EA, O’Neill SL (2013) Beyond insecticides: new thinking on an ancient problem. Nat RevMicrobiol 11(3):181–193. https://doi.org/10.1038/nrmicro2968McMeniman C et al (2009) Stable introduction of a life-shortening Wolbachia infection into the mosquito Aedes aegypti. Science 323(5910):141–144McMeniman CJ, O’Neill SL (2010) A virulent Wolbachia infection decreases the viability of the dengue vector Aedes aegypti during periods of embryonic quiescence. PLoS Negl Trop Dis 4(7):e748Moreira LA, Iturbe-Ormaetxe I, Jeffery JA, Lu G, Pyke AT, Hedges LM, Rocha BC, Hall-Mendelin S, Day A, Riegler M et al (2009) A Wolbachia symbiont in Aedes aegypti limits infection with dengue, chikungunya, and plasmodium. Cell 139(7):1268–1278Moulay D, Aziz-Alaoui MA, Kwon HD (2012) Optimal control of chikungunya disease: larvae reduction, treatment and prevention. Math Biosci Eng 9(2):369–392. https://doi.org/10.3934/mbe.2012.9.369Ndii MZ, Hickson R, Allingham D, Mercer G (2015) Modelling the transmission dynamics of dengue in the presence of Wolbachia. Math Biosci 262:157–166Nguyen T, Le Nguyen H, Nguyen T, Vu S, Tran N, Le T, Vien Q, Bui T, Le H, Kutcher S, Hurst T, Duong T, Jeffery J, Darbro J, Kay H, Iturbe-Ormaetxe I, Popovici J, Montgomery B, Turley A, Zigterman F, Cook H, Cook P, Johnson P, Ryan P, Paton C, Ritchie S, Simmons C, O’Neill S, Hoffmann A (2015) Field evaluation of the establishment potential of wMelPop Wolbachia in Australia and Vietnam for dengue control. Parasit Vectors 8(1):1Okosun KO, Ouifki R, Marcus N (2011) Optimal control analysis of a malaria disease transmission model that includes treatment and vaccination with waning immunity. Biosystems 106(2):136–145. https://doi.org/10.1016/j.biosystems.2011.07.006Okosun KO, Rachid O, Marcus N (2013) Optimal control strategies and cost-effectiveness analysis of a malaria model. BioSystems 111(2):83–101. https://doi.org/10.1016/j.biosystems.2012.09.008PattersonMA, Rao AV (2014) GPOPS-II: AMATLAB software for solving multiple-phase optimal control problems using hp-adaptive Gaussian quadrature collocation methods and sparse nonlinear programming. ACM Trans Math Softw (TOMS) 41(1):1Popovici J, MoreiraLA, Poinsignon A, Iturbe-Ormaetxe I,McNaughton D, O’Neill SL (2010) Assessing key safety concerns of a Wolbachia-based strategy to control dengue transmission by Aedes mosquitoes. Memórias do Instituto Oswaldo Cruz 105(8):957–964Ritchie SA, Montgomery BL, Hoffmann AA (2013) Novel estimates of Aedes aegypti (Diptera: Culicidae) population size and adult survival based on Wolbachia releases. J Med Entomol 50(3):624–631Ritchie SA,Townsend M, PatonCJ, CallahanAG, HoffmannAA(2015) Application ofwMelPopWolbachia strain to crash local populations of Aedes aegypti. PLoS Negl Trop Dis 9(7):e0003930Roberts SM, Shipman JS (1972) Two-point boundary value problems: shooting methods. In: Modern analytic and computational methods in science and mathematics, vol 31. Elsevier, New YorkRockwood LL (2015) Introduction to population ecology, 2nd edn. Wiley, HobokenRoss PA,EndersbyNM,Yeap HL,HoffmannAA(2014) Larval competition extends developmental time and decreases adult size of wMelPop Wolbachia-infected Aedes aegypti. Am J Trop Med Hyg 91(1):198–Ruang-Areerate T, Kittayapong P (2006)Wolbachia transinfection in Aedes aegypti: a potential gene driver of dengue vectors. Proc Natl Acad Sci 103(33):12534–12539Schraiber JG, Kaczmarczyk AN, Kwok R, Park M, Silverstein R, Rutaganira FU, Aggarwal T, Schwemmer MA, Hom CL, Grosberg RK et al (2012) Constraints on the use of lifespan-shortening Wolbachia to control dengue fever. J Theor Biol 297:26–32Sepúlveda LS, Vasilieva O (2016) Optimal control approach to dengue reduction and prevention in Cali, Colombia. Math Methods Appl Sci 39(18):5475–5496Sepúlveda-Salcedo LS, Vasilieva O, Martínez-Romero HJ, Arias-Castro JH (2015) Ross-Macdonald: Un modelo para la dinámica del dengue en Cali. Colombia. Revista de Salud Pública 17(5):749–761Sinkins SP (2004) Wolbachia and cytoplasmic incompatibility in mosquitoes. Insect Biochem Mol Biol 34(7):723–729Sinkins SP (2013) Wolbachia and arbovirus inhibition in mosquitoes. Future Microbiol 8(10):1249–1256Soares-Pinheiro V, Dasso-PinheiroW, Trindade-Bezerra J, TadeiW(2017) Eggs viability of Aedes aegypti Linnaeus (Diptera, Culicidae) under different environmental and storage conditions in Manaus, Amazonas. Brazil. Braz J Biol 77(2):396–401Styer LM, Minnick SL, Sun AK, Scott TW (2007) Mortality and reproductive dynamics of Aedes aegypti (Diptera: Culicidae) fed human blood. Vector Borne Zoonotic Dis 7(1):86–98Telschow A, Flor M, Kobayashi Y, Hammerstein P, Werren JH (2007) Wolbachia-induced unidirectional cytoplasmic incompatibility and speciation: mainland-island model. PLoS ONE 2(8):e701Thieme H (2003) Mathematics in population biology. Mathematical biology series. Princeton University Press, PrincetonTurelli M (2010) Cytoplasmic incompatibility in populations with overlapping generations. Evolution 64(1):232–241Turelli M, HoffmannAA(1991) Rapi d spread of an inherited incompatibility factor inCaliforniaDrosophila. Nature 353(6343):440–442Walker T, Johnson P, Moreira L, Iturbe-Ormaetxe I, Frentiu F, McMeniman C, Leong Y, Dong Y, Axford J, Kriesner P, Lloyd A, Ritchie S, O’Neill S, Hoffmann A (2011) The wMel Wolbachia strain blocks dengue and invades caged Aedes aegypti populations. Nature 476(7361):450–453Williams CR, Johnson P, BallT, Ritchie S (2013) Productivity and population density estimates of the dengue vector mosquito Aedes aegypti (Stegomyia aegypti) in Australia. Med Vet Entomol 27(3):313–322Woolfit M, Iturbe-Ormaetxe I, Brownlie JC, Walker T, Riegler M, Seleznev A, Popovici J, Rancès E, Wee BA, Pavlides J et al (2013) Genomic evolution of the pathogenicWolbachia strain, wMelPop. Genome Biol Evol 5(11):2189–2204Xi Z, Khoo CC, Dobson SL (2005) Wolbachia establishment and invasion in an Aedes aegypti laboratory population. Science 310(5746):326–328Yamauchi A, Telschow A, Kobayashi Y (2010) Evolution of cytoplasmic sex ratio distorters: Effect of paternal transmission. J Theoret Biol 266(1):79–87Yeap HL, Mee P, Walker T, Weeks AR, O’Neill SL, Johnson P, Ritchie SA, Richardson KM, Doig C, Endersby NM, Hoffmann AA (2011) Dynamics of the “popcorn” Wolbachia infection in outbred Aedes aegypti informs prospects for mosquito vector control. Genetics 187(2):583–595Yeap HL, Axford JK, Popovici J, Endersby NM, Iturbe-Ormaetxe I, Ritchie SA, Hoffmann AA (2014) Assessing quality of life-shortening Wolbachia-infected Aedes aegypti mosquitoes in the field based on capture rates andmorphometric assessments. 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