Periodic solution of a nonautonomous diffusive food chain system of three species with time delays
type: Item
instance of: scholarly article
title: Periodic solution of a nonautonomous diffusive food chain system of three species with time delays
zbMATH Open document ID: 1059.34048
author: Zhengqiu Zhang
author: Zhicheng Wang
author: Xian-Wu Zeng
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2004-09-22T00:00:00Z
review text: A 2-patch food-chain system is studied. In patch I there are three species \(X1\), \(X2\), \(X3\) where \(X2\) predates on \(X1\) and \(X3\) predates on \(X2\). \(X1\) can diffuse between the two patches while \(X2\), \(X3\) cannot. The system has both periodic coefficients and delay. Conditions for the existence of a positive periodic solution are derived by using the continuation theorem of coincidence degree theory.
reviewed by: E. Ahmed
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 2101834
zbMATH Keywords: diffusive food chain system
zbMATH Keywords: positive periodic solution
zbMATH Keywords: the continuation theorem of coincidence degree
zbMATH Keywords: topological degree
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2101834