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
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary: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.