Un modelo de depredación de tipo Leslie-Gower con respuesta funcional hiperbólica y cooperación entre los depredadores

Autores:: Reyes Bahamon, Francisco Javier
Casanova Trujillo, Simeón
González Olivares, Eduardo

Tipo de recurso:: Article of journal

Fecha de publicación:: 2025

Institución:: Universidad Pedagógica y Tecnológica de Colombia

Repositorio:: RiUPTC: Repositorio Institucional UPTC

Idioma:

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dc.title.es-ES.fl_str_mv	Un modelo de depredación de tipo Leslie-Gower con respuesta funcional hiperbólica y cooperación entre los depredadores
title	Un modelo de depredación de tipo Leslie-Gower con respuesta funcional hiperbólica y cooperación entre los depredadores
spellingShingle	Un modelo de depredación de tipo Leslie-Gower con respuesta funcional hiperbólica y cooperación entre los depredadores Bifurcación cooperación estabilidad Leslie-Gower separatriz Bifurcation, cooperation, stability, Leslie-Gower, separatrix
title_short	Un modelo de depredación de tipo Leslie-Gower con respuesta funcional hiperbólica y cooperación entre los depredadores
title_full	Un modelo de depredación de tipo Leslie-Gower con respuesta funcional hiperbólica y cooperación entre los depredadores
title_fullStr	Un modelo de depredación de tipo Leslie-Gower con respuesta funcional hiperbólica y cooperación entre los depredadores
title_full_unstemmed	Un modelo de depredación de tipo Leslie-Gower con respuesta funcional hiperbólica y cooperación entre los depredadores
title_sort	Un modelo de depredación de tipo Leslie-Gower con respuesta funcional hiperbólica y cooperación entre los depredadores
dc.creator.fl_str_mv	Reyes Bahamon, Francisco Javier Casanova Trujillo, Simeón González Olivares, Eduardo
dc.contributor.author.spa.fl_str_mv	Reyes Bahamon, Francisco Javier Casanova Trujillo, Simeón González Olivares, Eduardo
dc.subject.none.fl_str_mv	Bifurcación cooperación estabilidad Leslie-Gower separatriz Bifurcation, cooperation, stability, Leslie-Gower, separatrix
topic	Bifurcación cooperación estabilidad Leslie-Gower separatriz Bifurcation, cooperation, stability, Leslie-Gower, separatrix
publishDate	2025
dc.date.accessioned.none.fl_str_mv	2025-01-20 00:00:00 2026-04-16T17:12:53Z
dc.date.available.none.fl_str_mv	2025-01-20 00:00:00
dc.date.issued.none.fl_str_mv	2025-01-20
dc.type.spa.fl_str_mv	Artículo de revista
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dc.relation.references.none.fl_str_mv	P.J. Wangersky, “Lotka-Volterra population models”, Annual Review of Ecology and Systematics, vol. 9, pp. 189-218, Nov. 1978. https://doi.org/10.1146/annurev.es.09.110178.001201 V. Volterra, “Variazioni e fluttuazioni del numero de individui in specie animali convivent”, Memorie della R. Accademia dei Lincei, vol. 2, pp. 31-113, 1926. P.H. Leslie, J.C. Gower, “The properties of a stochastic model for the predator-prey type of interaction between two species”, Biometrika, vol. 47, no. 3-4, pp. 219-234, Dec. 1960. https://doi.org/10.1093/biomet/47.3-4.219 R.M. May, “Stability and complexity in model ecosystems, in: Monographs in population biology”, 6, Princeton university press, Princeton, Nueva Jersey, 1974 F. Dumortier, J. Llibre, J. C. Artés, “Qualitative theory of planar differential systems”, Universitext, Springer, Berlin, Heidelberg, 2006. S. Hsu, T. Huang, “A global stability for a class of predator-prey systems”, SIAM Journal on Applied Mathematics, vol. 55, no. 3, pp. 763-783, Jun. 1995. https://doi.org/10.1137/S003613999325320 P. Turchin,“Complex population dynamics: A theoretical/empirical synthesis”, Monographs in Population Biology 35, Princeton: Princeton University Press, Nueva Jersey, 2003 E. González, P.C. Tintinago, A. Rojas, “A LeslieGower-type predator-prey model with sigmoid functional response”, International Journal of Computer Mathematics, vol. 92, no. 9, pp. 1895-1909, Apr. 2014. https://doi.org/10.1080/00207160.2014.889818 F.J. Reyes, S. Casanova, E. González, “Dynamics of a Leslie-Gower type predation model with non-monotonic functional response and weak Allee effect on prey”, Selecciones Matemática, vol. 10, no. 2, pp. 310-323, Dec. 2023. https://doi.org/10.17268/sel.mat.2023.02.07 E. Saez, E. González, “Dynamics of a predatorprey model”, SIAM Journal on Applied Mathematics, vol. 59, no. 5, pp. 1867-1878, Aug. 1999. https://doi.org/10.1137/S0036139997318457 E. González, A. Mosquera, P. Tintinago, A. Rojas, “Bifurcations in a Leslie-Gower type predator-prey model with a rational non-monotonic functional response”, Mathematical Modelling and Analysis, vol. 27, no. 3, pp. 510-532, Aug. 2022. https://doi.org/10.3846/mma.2022.15528 B.W. Dale, L.G. Adams, R.T Bowyer, “Functional response of wolves preying on barren-ground caribou in a multiple-prey ecosystem”, Journal of Animal Ecology, vol. 63, no. 3, pp. 644-652, Jul. 1994. https://doi.org/10.2307/5230 A. Gasull, R. Kooij, J. Torregrosa, “Limit cycles in the Holling-Tanner model”, Publicacions Matemátiques, vol. 41, no. 1, pp. 149-167, Jan. 1997. https://doi.org/10.5565/PUBLMAT_41197_09 M. Alves, M. Hilker, “Hunting cooperation and Allee effects in predators”, Journal of Theoretical Biology, vol. 419, pp. 13-22, Apr. 2017. https://doi.org/10.1016/j.jtbi.2017.02.002 P. Ye, D. Wu, “Impacts of strong Allee effect and hunting cooperation for a Leslie-Gower predator-prey system”, Chinese Journal of Physics, vol. 68, pp. 49-64, Dec. 2020. https://doi.org/10.1016/j.cjph.2020.07.021 E. González, A. Rojas, “Collaboration between predators and weak Allee effect in prey. Consequences on the dynamics of a predation model”, Selecciones Matemáticas, vol. 9, no. 1, pp. 173-183, Jul. 2022. https://doi.org/10.17268/sel.mat.2022.01.15 L. Berec, “Impacts of foraging facilitation among predators on predator-prey dynamics”, Bulletin of Mathematical Biology, vol. 72, pp. 94-121, Aug. 2009. https://doi.org/10.1007/s11538-009-9439-1 D.W. Macdonald, “The ecology of carnivore social behaviour”, Nature, vol. 301, pp. 379-384, Feb. 1983. https://doi.org/10.1038/301379a0 R. Heinsohn, C. Packer, “Complex cooperative strategies in group-territorial African lions, Science, vol. 269, pp. 1260-1262, Sep. 1995. https://doi.org/10.1126/science.7652573 S. Creel, N.M. Creel, “Communal hunting and pack size in African wild dogs, Lycaon pictus”, Animal Behaviour, vol. 50, no. 5, pp. 1325-1339, Mar. 1995. https://doi.org/10.1016/0003-3472(95)80048-4 R. Bshary, A. Hohner, K. Ait-el-Djoudi, H. Fricke, “Interspecific communicative and coordinated hunting between groupers and giant moray eels in the Red Sea”, Plos Biology, vol. 4, no. 12, e431, Dec. 2006. https://doi.org/10.1371/journal.pbio.0040431 H.I. Freedman, “Deterministic mathematical models in population ecology”, Monographs and textbooks in pure and applied mathematics, Dekker, New York, 1980 C. Chicone, “Ordinary differential equations with applications”, Texts in Applied Mathematics, Springer, New York, 2008. G. Birkhoff, G.S. Rota, “Ordinary differential equations”, John Wiley Sons, 4th edn, New York, 1989. L. Perko, “Differential equations and dynamical systems”, Texts in Applied Mathematics. Springer, New York, 2012. J. Guckenheimer, P. Holmes, “Nonlinear oscillations, dynamical systems, and bifurcations of vector fields”, Springer-Verlag, New York, 1983.
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dc.relation.ispartofjournal.spa.fl_str_mv	Ciencia en Desarrollo
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spelling	Reyes Bahamon, Francisco JavierCasanova Trujillo, SimeónGonzález Olivares, Eduardo2025-01-20 00:00:002026-04-16T17:12:53Z2025-01-20 00:00:002025-01-200121-7488https://repositorio.uptc.edu.co/handle/001/1878610.19053/uptc.01217488.v16.n1.2025.179152462-7658https://doi.org/10.19053/uptc.01217488.v16.n1.2025.17915application/pdfUniversidad Pedagógica y Tecnológica de Colombiahttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.esinfo:eu-repo/semantics/openAccessEsta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial-SinDerivadas 4.0.http://purl.org/coar/access_right/c_abf2https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/17915BifurcacióncooperaciónestabilidadLeslie-GowerseparatrizBifurcation, cooperation, stability, Leslie-Gower, separatrixUn modelo de depredación de tipo Leslie-Gower con respuesta funcional hiperbólica y cooperación entre los depredadoresArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/articleJournal articleinfo:eu-repo/semantics/publishedVersionTexthttp://purl.org/coar/version/c_970fb48d4fbd8a85P.J. Wangersky, “Lotka-Volterra population models”, Annual Review of Ecology and Systematics, vol. 9, pp. 189-218, Nov. 1978. https://doi.org/10.1146/annurev.es.09.110178.001201V. Volterra, “Variazioni e fluttuazioni del numero de individui in specie animali convivent”, Memorie della R. Accademia dei Lincei, vol. 2, pp. 31-113, 1926.P.H. Leslie, J.C. Gower, “The properties of a stochastic model for the predator-prey type of interaction between two species”, Biometrika, vol. 47, no. 3-4, pp. 219-234, Dec. 1960. https://doi.org/10.1093/biomet/47.3-4.219R.M. May, “Stability and complexity in model ecosystems, in: Monographs in population biology”, 6, Princeton university press, Princeton, Nueva Jersey, 1974F. Dumortier, J. Llibre, J. C. Artés, “Qualitative theory of planar differential systems”, Universitext, Springer, Berlin, Heidelberg, 2006.S. Hsu, T. Huang, “A global stability for a class of predator-prey systems”, SIAM Journal on Applied Mathematics, vol. 55, no. 3, pp. 763-783, Jun. 1995. https://doi.org/10.1137/S003613999325320P. Turchin,“Complex population dynamics: A theoretical/empirical synthesis”, Monographs in Population Biology 35, Princeton: Princeton University Press, Nueva Jersey, 2003E. González, P.C. Tintinago, A. Rojas, “A LeslieGower-type predator-prey model with sigmoid functional response”, International Journal of Computer Mathematics, vol. 92, no. 9, pp. 1895-1909, Apr. 2014. https://doi.org/10.1080/00207160.2014.889818F.J. Reyes, S. Casanova, E. González, “Dynamics of a Leslie-Gower type predation model with non-monotonic functional response and weak Allee effect on prey”, Selecciones Matemática, vol. 10, no. 2, pp. 310-323, Dec. 2023. https://doi.org/10.17268/sel.mat.2023.02.07E. Saez, E. González, “Dynamics of a predatorprey model”, SIAM Journal on Applied Mathematics, vol. 59, no. 5, pp. 1867-1878, Aug. 1999. https://doi.org/10.1137/S0036139997318457E. González, A. Mosquera, P. Tintinago, A. Rojas, “Bifurcations in a Leslie-Gower type predator-prey model with a rational non-monotonic functional response”, Mathematical Modelling and Analysis, vol. 27, no. 3, pp. 510-532, Aug. 2022. https://doi.org/10.3846/mma.2022.15528B.W. Dale, L.G. Adams, R.T Bowyer, “Functional response of wolves preying on barren-ground caribou in a multiple-prey ecosystem”, Journal of Animal Ecology, vol. 63, no. 3, pp. 644-652, Jul. 1994. https://doi.org/10.2307/5230A. Gasull, R. Kooij, J. Torregrosa, “Limit cycles in the Holling-Tanner model”, Publicacions Matemátiques, vol. 41, no. 1, pp. 149-167, Jan. 1997. https://doi.org/10.5565/PUBLMAT_41197_09M. Alves, M. Hilker, “Hunting cooperation and Allee effects in predators”, Journal of Theoretical Biology, vol. 419, pp. 13-22, Apr. 2017. https://doi.org/10.1016/j.jtbi.2017.02.002P. Ye, D. Wu, “Impacts of strong Allee effect and hunting cooperation for a Leslie-Gower predator-prey system”, Chinese Journal of Physics, vol. 68, pp. 49-64, Dec. 2020. https://doi.org/10.1016/j.cjph.2020.07.021E. González, A. Rojas, “Collaboration between predators and weak Allee effect in prey. Consequences on the dynamics of a predation model”, Selecciones Matemáticas, vol. 9, no. 1, pp. 173-183, Jul. 2022. https://doi.org/10.17268/sel.mat.2022.01.15L. Berec, “Impacts of foraging facilitation among predators on predator-prey dynamics”, Bulletin of Mathematical Biology, vol. 72, pp. 94-121, Aug. 2009. https://doi.org/10.1007/s11538-009-9439-1D.W. Macdonald, “The ecology of carnivore social behaviour”, Nature, vol. 301, pp. 379-384, Feb. 1983. https://doi.org/10.1038/301379a0R. Heinsohn, C. Packer, “Complex cooperative strategies in group-territorial African lions, Science, vol. 269, pp. 1260-1262, Sep. 1995. https://doi.org/10.1126/science.7652573S. Creel, N.M. Creel, “Communal hunting and pack size in African wild dogs, Lycaon pictus”, Animal Behaviour, vol. 50, no. 5, pp. 1325-1339, Mar. 1995. https://doi.org/10.1016/0003-3472(95)80048-4R. Bshary, A. Hohner, K. Ait-el-Djoudi, H. Fricke, “Interspecific communicative and coordinated hunting between groupers and giant moray eels in the Red Sea”, Plos Biology, vol. 4, no. 12, e431, Dec. 2006. https://doi.org/10.1371/journal.pbio.0040431H.I. Freedman, “Deterministic mathematical models in population ecology”, Monographs and textbooks in pure and applied mathematics, Dekker, New York, 1980C. Chicone, “Ordinary differential equations with applications”, Texts in Applied Mathematics, Springer, New York, 2008.G. Birkhoff, G.S. Rota, “Ordinary differential equations”, John Wiley Sons, 4th edn, New York, 1989.L. Perko, “Differential equations and dynamical systems”, Texts in Applied Mathematics. Springer, New York, 2012.J. Guckenheimer, P. Holmes, “Nonlinear oscillations, dynamical systems, and bifurcations of vector fields”, Springer-Verlag, New York, 1983.122111516Ciencia en Desarrollohttps://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/download/17915/15789Núm. 1 , Año 2025 : Vol. 16 Núm. 1 (2025): Vol. 16 Núm. 1 (2025): Vol 16, Núm.1 (2025): Enero - JunioPublicationOREORE.xmltext/xml2801https://repositorio.uptc.edu.co/bitstreams/9798a64b-d75a-4094-a093-b800bf208bde/downloadd6c7ac0d56affc77ccedf463c8088d56MD51falseAnonymousREAD001/18786oai:repositorio.uptc.edu.co:001/187862026-10-30 07:03:27.237https://creativecommons.org/licenses/by-nc-nd/4.0/deed.esmetadata.onlyhttps://repositorio.uptc.edu.coRepositorio Institucional UPTCbdigital@metabiblioteca.com

Un modelo de depredación de tipo Leslie-Gower con respuesta funcional hiperbólica y cooperación entre los depredadores

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