Existence and global attractivity of periodic solution for a discrete prey-predator model with sex structure
type: Item
instance of: scholarly article
title: Existence and global attractivity of periodic solution for a discrete prey-predator model with sex structure
zbMATH Open document ID: 1205.39004
author: Biwen Li
author: Xinsheng Xiong
published in: Nonlinear Analysis. Real World Applications
publication date: 2010-06-03T00:00:00Z
review text: This paper is concerned with the existence and the global attractivity of a positive periodic solution for a periodic discrete prey-predator model with sex structure. First, using Mawhin's continuation theorem, a sufficient condition is obtained for the existence of a periodic positive solution. Then, under certain conditions, this solution is shown to be globally attractive. A discrete Lyapunov functional approach is used for the attractivity analysis. Finally, feasibility of the obtained conditions is illustrated by an example.
reviewed by: Vu Hoang Linh
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 5716766
zbMATH Keywords: discrete prey-predator model
zbMATH Keywords: sex structure
zbMATH Keywords: positive periodic solution
zbMATH Keywords: global attractivity
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2009.05.001
OpenAlex ID: W1999631609
cites work: Q5296827
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DOI: 10.1016/J.NONRWA.2009.05.001
description: scientific article; zbMATH DE number 5716766