Periodic solutions of a predator-prey system with stage-structures for predator and prey
type: Item
instance of: scholarly article
title: Periodic solutions of a predator-prey system with stage-structures for predator and prey
zbMATH Open document ID: 1098.34035
author: Zhengqiu Zhang
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-02-22T00:00:00Z
review text: The authors consider a population predator-prey model, where predators are classified into two groups of mature and immature individuals and preys are classified into the similar two groups. The resulting system has four components. Its coefficients of the linear and quadratic terms are presumed to be periodic in time to account for seasonal phenomena. The author proves the existence of a positive periodic solution provided that minima and maxima of the coefficients satisfy a particular inequality. The proof is based on degree arguments in the form of the coincidence degree due to Gaines and Mawhin.
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 2136648
zbMATH Keywords: periodic solution
zbMATH Keywords: staged-structured predator-prey model
zbMATH Keywords: periodic coefficients
reviewed by: Dmitrii Rachinskii
MaRDI profile type: Publication
full work available at URL: j.jmaa.2003.11.033
OpenAlex ID: W1968968861
Wikidata QID: Q115570470
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DOI: 10.1016/J.JMAA.2003.11.033
description: scientific article; zbMATH DE number 2136648