Dynamics of a nonautonomous Leslie-Gower type food chain model with delays
type: Item
instance of: scholarly article
title: Dynamics of a nonautonomous Leslie-Gower type food chain model with delays
zbMATH Open document ID: 1213.37126
DOI: 10.1155/2011/380279
author: Hongying Lu
author: Weiguo Wang
published in: Discrete Dynamics in Nature and Society
publication date: 2011-06-07T00:00:00Z
full work available at URL: https://eudml.org/doc/224252
review text: Summary: A nonautonomous Leslie-Gower type food chain model with time delays is investigated. It is proved the general nonautonomous system is permanent and globally asymptotically stable under some appropriate conditions. Furthermore, if the system is periodic one, some sufficient conditions are established, which guarantee the existence, uniqueness, and global asymptotic stability of a positive periodic solution of the system. The conditions for the permanence, global stability of system, and the existence, uniqueness of positive periodic solution depend on delays; so, time delays are profitless.
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 5904622
Wikidata QID: Q58655466
MaRDI profile type: Publication
OpenAlex ID: W2043786109
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description: scientific article; zbMATH DE number 5904622