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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Detalhes bibliográficos
Autor: Duque, Cosme
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:Colombia
Recursos:Universidad Nacional de Colombia
Repositorio:Repositorio UN
Idioma:español
OAI Identifier:oai:repositorio.unal.edu.co:unal/66426
Acesso em linha:https://repositorio.unal.edu.co/handle/unal/66426
http://bdigital.unal.edu.co/67454/
Access Level:acceso abierto
Palavra-chave: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
Descrição
Resumo: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.