Existence of periodic solutions in a discrete predator-prey system with Beddington-DeAngelis functional responses
type: Item
instance of: scholarly article
title: Existence of periodic solutions in a discrete predator-prey system with Beddington-DeAngelis functional responses
zbMATH Open document ID: 1237.39012
DOI: 10.1155/2011/970763
author: Maoxin Liao
author: Changjin Xu
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2012-03-08T00:00:00Z
review text: Summary: A discrete predator-prey model with Holling II and Beddington-DeAngelis functional responses is investigated. With the aid of differential equations with piecewise constant arguments, a discrete version of continuous nonautonomous delayed predator-prey model with Beddington-DeAngelis functional responses is proposed. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, sufficient conditions for the existence of positive solutions of the model are established.
Mathematics Subject Classification ID: 39A23
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 39A22
Mathematics Subject Classification ID: 55M25
zbMATH DE Number: 6013263
zbMATH Keywords: discrete predator-prey model
zbMATH Keywords: Holling II and Beddington-DeAngelis functional responses
zbMATH Keywords: coincidence degree theory
zbMATH Keywords: positive solutions
Wikidata QID: Q58688004
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/970763
OpenAlex ID: W2118871483
cites work: Relaxation oscillations in a class of predator-prey systems.
cites work: Intraspecific interference and consumer-resource dynamics
cites work: Analysis of diffusive two-competing-prey and one-predator systems with Beddington-DeAngelis functional response
cites work: Stability of the boundary solution of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response
cites work: Periodic solutions of delayed predator-prey model with the Beddington-DeAngelis functional response
cites work: Qualitative analysis of Beddington-DeAngelis type impulsive predator-prey models
cites work: On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
cites work: Dynamic complexities of a Holling II two-prey one-predator system with impulsive effect
cites work: Dynamic of a non-autonomous predator-prey system with infinite delay and diffusion
cites work: Stable periodic solution of a discrete periodic Lotka-Volterra competition system
cites work: Periodic solutions of a discrete-time nonautonomous predator-prey system with the Beddington-DeAngelis functional response
cites work: Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system
cites work: Periodic solutions for a discrete time predator-prey system with monotone functional responses
cites work: Positive periodic solutions of a discrete mutualism model with time delays
cites work: Q3312577
cites work: Periodic solutions of a discrete time Lotka--Volterra type food-chain model with delays
cites work: Q5490431
cites work: Periodic solutions for discrete predator-prey systems with the Beddington-DeAngelis functional response
cites work: Multiple positive periodic solutions of a delayed discrete predator-prey system with type IV functional responses
cites work: Coincidence degree, and nonlinear differential equations
DBLP publication ID: journals/ijmmsc/XuL11
Recommended article: Periodic solutions for discrete predator-prey systems with the Beddington-DeAngelis functional response
Recommended article: Periodic solutions of a discrete-time nonautonomous predator-prey system with the Beddington-DeAngelis functional response
Recommended article: The existence of periodic solutions of a predator-prey system with Beddington-DeAngelis functional response and impulsive perturbations
Recommended article: Periodic solutions for predator-prey systems with Beddington-DeAngelis functional response on time scales
Recommended article: Almost periodic sequence solutions of a discrete predator-prey system with Beddington-DeAngelis functional response
Recommended article: Q4623118
Recommended article: Q3500982
Recommended article: Necessary and sufficient condition for existence of periodic solutions of predator-prey dynamic systems with Beddington-DeAngelis-type functional response
Recommended article: Q3016585
Recommended article: Q3191943
description: scientific article; zbMATH DE number 6013263