Permanence and stable periodic solution for a discrete competitive system with multidelays
type: Item
instance of: scholarly article
title: Permanence and stable periodic solution for a discrete competitive system with multidelays
zbMATH Open document ID: 1205.39017
DOI: 10.1155/2009/375486
author: Chunqing Wu
published in: Advances in Difference Equations
publication date: 2010-04-08T00:00:00Z
full work available at URL: https://eudml.org/doc/230325
review text: This paper concerns an \(M\)-species discrete competitive model with multiple delays. First, a set of sufficient conditions on the permanence of the system is established. Then, under further assumption of periodicity of the coefficients, it is shown that there exists a positive periodic solution, whose stability is also studied. The obtained results complement exisiting ones for related models.
reviewed by: Yuming Chen
Mathematics Subject Classification ID: 39A23
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A30
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 39A22
zbMATH DE Number: 5690828
zbMATH Keywords: discrete competitive system
zbMATH Keywords: delay
zbMATH Keywords: permanence
zbMATH Keywords: periodic solution
zbMATH Keywords: stability
zbMATH Keywords: positive solution
zbMATH Keywords: population dynamics
Wikidata QID: Q59250246
MaRDI profile type: Publication
OpenAlex ID: W2116616297
cites work: Q3137926
cites work: Theory of difference equations: Numerical methods and applications
cites work: Q3126372
cites work: Stable periodic solutions in a discrete periodic logistic equation
cites work: Global stability of discrete models of Lotka–Volterra type
cites work: Stable periodic solution of a discrete periodic Lotka-Volterra competition system
cites work: Permanence and global attractivity for Lotka-Volterra difference systems
cites work: Delay differential equations: with applications in population dynamics
cites work: Global stability of discrete population models with time delays and fluctuating environment
cites work: A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays
cites work: Permanence and the dynamics of biological systems
cites work: Shaken not stirred: On permanence in ecological communities
cites work: Uniform persistence in functional differential equations
cites work: Qualitative permanence of Lotka-Volterra equations
cites work: Permanence and extinction for dispersal population systems
cites work: Permanence of delayed population model with dispersal loss
cites work: Permanence for a delayed periodic predator-prey model with prey dispersal in multi-patches and predator density-independent
cites work: Persistence and extinction in single-species reaction-diffusion models
cites work: Global attractivity for discrete models of nonautonomous logistic equations
cites work: Almost periodic solutions of prey-predator discrete models with delay
cites work: Uniform persistence and periodic solutions for a discrete predator-prey system with delays
cites work: Theory of functional differential equations. 2nd ed
description: scientific article; zbMATH DE number 5690828