Dynamics of a discrete predator-prey system with nonconstant death rate

In this paper, we will consider a discrete non-autonomous predator-prey system with nonconstant death rate. We give sufficient conditions in order to get a dissipative and permanent system. By using the continuation theorem based on Gaines and Mawhin's coincidence degree, we study the existence...

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Autores:
Duque, Cosme
Uzcategui, Jahnett
Tipo de recurso:
Article of journal
Fecha de publicación:
2017
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/61867
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/61867
http://bdigital.unal.edu.co/60679/
Palabra clave:
51 Matemáticas / Mathematics
predator-prey with nonconstant death rate
difference equations
periodic solutions
coincidence degree
depredator-presa con tasa de mortalidad no constante
ecuaciones en diferencias
soluciones periódicas
grado de coincidencia
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openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Duque, Cosme19582453-fbd8-4dbc-ba7a-90f91bf58a3b300Uzcategui, Jahnett49bf050e-f1b9-4573-a7e1-5a655a9071b03002019-07-02T20:46:40Z2019-07-02T20:46:40Z2017-01-01ISSN: 2357-6529https://repositorio.unal.edu.co/handle/unal/61867http://bdigital.unal.edu.co/60679/In this paper, we will consider a discrete non-autonomous predator-prey system with nonconstant death rate. We give sufficient conditions in order to get a dissipative and permanent system. By using the continuation theorem based on Gaines and Mawhin's coincidence degree, we study the existence of positive periodic solutions when the coecients of system are periodic. A numerical example is given to illustrate the effectiveness of the main result.En este artículo consideramos un sistema depredador-presa discreto no autónomo con tasa de mortalidad no constante. Damos condiciones sucientes para que el sistema sea disipativo y permanente. Usando el Teorema de Continuación basado en el grado de coincidencia de Gaines y Mawhin, estudiamos la existencia de soluciones periódicas positivas cuando los coecientes del sistema son periódicos. Un ejemplo numérico es dado para ilustrar la efectividad del resultado principal.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticashttps://revistas.unal.edu.co/index.php/bolma/article/view/66845Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasDuque, Cosme and Uzcategui, Jahnett (2017) Dynamics of a discrete predator-prey system with nonconstant death rate. Boletín de Matemáticas, 24 (1). pp. 1-17. ISSN 2357-652951 Matemáticas / Mathematicspredator-prey with nonconstant death ratedifference equationsperiodic solutionscoincidence degreedepredator-presa con tasa de mortalidad no constanteecuaciones en diferenciassoluciones periódicasgrado de coincidenciaDynamics of a discrete predator-prey system with nonconstant death rateArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL66845-342876-1-SM.pdfapplication/pdf1986172https://repositorio.unal.edu.co/bitstream/unal/61867/1/66845-342876-1-SM.pdfcabe6278d58ea60561603d2b2e91d836MD51THUMBNAIL66845-342876-1-SM.pdf.jpg66845-342876-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5829https://repositorio.unal.edu.co/bitstream/unal/61867/2/66845-342876-1-SM.pdf.jpg69f0374b54e3f795177034fd850d4151MD52unal/61867oai:repositorio.unal.edu.co:unal/618672024-04-20 23:26:12.36Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Dynamics of a discrete predator-prey system with nonconstant death rate
title Dynamics of a discrete predator-prey system with nonconstant death rate
spellingShingle Dynamics of a discrete predator-prey system with nonconstant death rate
51 Matemáticas / Mathematics
predator-prey with nonconstant death rate
difference equations
periodic solutions
coincidence degree
depredator-presa con tasa de mortalidad no constante
ecuaciones en diferencias
soluciones periódicas
grado de coincidencia
title_short Dynamics of a discrete predator-prey system with nonconstant death rate
title_full Dynamics of a discrete predator-prey system with nonconstant death rate
title_fullStr Dynamics of a discrete predator-prey system with nonconstant death rate
title_full_unstemmed Dynamics of a discrete predator-prey system with nonconstant death rate
title_sort Dynamics of a discrete predator-prey system with nonconstant death rate
dc.creator.fl_str_mv Duque, Cosme
Uzcategui, Jahnett
dc.contributor.author.spa.fl_str_mv Duque, Cosme
Uzcategui, Jahnett
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
predator-prey with nonconstant death rate
difference equations
periodic solutions
coincidence degree
depredator-presa con tasa de mortalidad no constante
ecuaciones en diferencias
soluciones periódicas
grado de coincidencia
dc.subject.proposal.spa.fl_str_mv predator-prey with nonconstant death rate
difference equations
periodic solutions
coincidence degree
depredator-presa con tasa de mortalidad no constante
ecuaciones en diferencias
soluciones periódicas
grado de coincidencia
description In this paper, we will consider a discrete non-autonomous predator-prey system with nonconstant death rate. We give sufficient conditions in order to get a dissipative and permanent system. By using the continuation theorem based on Gaines and Mawhin's coincidence degree, we study the existence of positive periodic solutions when the coecients of system are periodic. A numerical example is given to illustrate the effectiveness of the main result.
publishDate 2017
dc.date.issued.spa.fl_str_mv 2017-01-01
dc.date.accessioned.spa.fl_str_mv 2019-07-02T20:46:40Z
dc.date.available.spa.fl_str_mv 2019-07-02T20:46:40Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.issn.spa.fl_str_mv ISSN: 2357-6529
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identifier_str_mv ISSN: 2357-6529
url https://repositorio.unal.edu.co/handle/unal/61867
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dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/bolma/article/view/66845
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas
Boletín de Matemáticas
dc.relation.references.spa.fl_str_mv Duque, Cosme and Uzcategui, Jahnett (2017) Dynamics of a discrete predator-prey system with nonconstant death rate. Boletín de Matemáticas, 24 (1). pp. 1-17. ISSN 2357-6529
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/61867/1/66845-342876-1-SM.pdf
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