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...

Descripción completa

Detalles Bibliográficos
Autor: Duque, Cosme
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:Colombia
Institución:Universidad Nacional de Colombia
Repositorio:Repositorio UN
Idioma:español
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/
Access Level:acceso abierto
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
Descripción
Sumario: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.