Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent

The main concern of this paper is to study the dynamics of a discrete predator-prey system with Beddington-DeAngelis functional response and density dependent predator, assuming that the coecients involved in the system are almost periodic. More concretely, under certain conditions, we prove the exi...

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Autores:
Duque, Cosme
Tipo de recurso:
Article of journal
Fecha de publicación:
2018
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66426
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66426
http://bdigital.unal.edu.co/67454/
Palabra clave:
51 Matemáticas / Mathematics
Density dependent predator
Beddington-DeAngelis functional response
discrete predator-prey
almost periodic solution
Densamente dependiente depredador
respuesta fun- cional Beddington-DeAngelis
depredador-presa discreto
solución casi periódica
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openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/66426
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network_name_str Universidad Nacional de Colombia
repository_id_str
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-90f91bf58a3b3002019-07-03T02:06:20Z2019-07-03T02:06:20Z2018-01-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/66426http://bdigital.unal.edu.co/67454/The main concern of this paper is to study the dynamics of a discrete predator-prey system with Beddington-DeAngelis functional response and density dependent predator, assuming that the coecients involved in the system are almost periodic. More concretely, under certain conditions, we prove the existence of a unique almost periodic solution which is globally attractive. We exhibit a few numerical examples of the results.El objetivo principal de este artículo es el de estudiar la dinámica de un sistema depredador-presa discreto con respuesta funcional Beddington-DeAngelis y densamente dependiente del depredador, asumiendo que los coeficientes involucrados en el sistema son casi periódicos. De forma más concreta, bajo ciertas condiciones, probaremos la existencia de una única solución casi periódica la cual es globalmente atractiva. Exhibimos algunos ejemplos numéricos de los resultados.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticashttps://revistas.unal.edu.co/index.php/recolma/article/view/74564Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasDuque, Cosme (2018) Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent. Revista Colombiana de Matemáticas, 52 (1). pp. 87-105. ISSN 2357-410051 Matemáticas / MathematicsDensity dependent predatorBeddington-DeAngelis functional responsediscrete predator-preyalmost periodic solutionDensamente dependiente depredadorrespuesta fun- cional Beddington-DeAngelisdepredador-presa discretosolución casi periódicaExistence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density DependentArtículo 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/ARTORIGINAL74564-395563-1-SM.pdfapplication/pdf498277https://repositorio.unal.edu.co/bitstream/unal/66426/1/74564-395563-1-SM.pdf6e6472559373ea029b0daccd3037b91bMD51THUMBNAIL74564-395563-1-SM.pdf.jpg74564-395563-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5649https://repositorio.unal.edu.co/bitstream/unal/66426/2/74564-395563-1-SM.pdf.jpg4e0900994893b8bfc120ca853a20050bMD52unal/66426oai:repositorio.unal.edu.co:unal/664262024-05-16 23:09:22.071Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent
title Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent
spellingShingle Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent
51 Matemáticas / Mathematics
Density dependent predator
Beddington-DeAngelis functional response
discrete predator-prey
almost periodic solution
Densamente dependiente depredador
respuesta fun- cional Beddington-DeAngelis
depredador-presa discreto
solución casi periódica
title_short Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent
title_full Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent
title_fullStr Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent
title_full_unstemmed Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent
title_sort Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent
dc.creator.fl_str_mv Duque, Cosme
dc.contributor.author.spa.fl_str_mv Duque, Cosme
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
Density dependent predator
Beddington-DeAngelis functional response
discrete predator-prey
almost periodic solution
Densamente dependiente depredador
respuesta fun- cional Beddington-DeAngelis
depredador-presa discreto
solución casi periódica
dc.subject.proposal.spa.fl_str_mv Density dependent predator
Beddington-DeAngelis functional response
discrete predator-prey
almost periodic solution
Densamente dependiente depredador
respuesta fun- cional Beddington-DeAngelis
depredador-presa discreto
solución casi periódica
description The main concern of this paper is to study the dynamics of a discrete predator-prey system with Beddington-DeAngelis functional response and density dependent predator, assuming that the coecients involved in the system are almost periodic. More concretely, under certain conditions, we prove the existence of a unique almost periodic solution which is globally attractive. We exhibit a few numerical examples of the results.
publishDate 2018
dc.date.issued.spa.fl_str_mv 2018-01-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:06:20Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:06:20Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2357-4100
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/66426
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67454/
identifier_str_mv ISSN: 2357-4100
url https://repositorio.unal.edu.co/handle/unal/66426
http://bdigital.unal.edu.co/67454/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/recolma/article/view/74564
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.references.spa.fl_str_mv Duque, Cosme (2018) Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent. Revista Colombiana de Matemáticas, 52 (1). pp. 87-105. ISSN 2357-4100
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 - Sociedad Colombiana de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/66426/1/74564-395563-1-SM.pdf
https://repositorio.unal.edu.co/bitstream/unal/66426/2/74564-395563-1-SM.pdf.jpg
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
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