Skip to main content
Advances in Continuous and Discrete Models

Theory and Modern Applications

Download PDF
  • Research Article
  • Open access
  • Published:

Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays

Advances in Difference Equations volume 2004, Article number: 739439 (2004) Cite this article

Abstract

We study the existence and global stability of positive periodic solutions of a periodic discrete predator-prey system with delay and Holling type III functional response. By using the continuation theorem of coincidence degree theory and the method of Lyapunov functional, some sufficient conditions are obtained.

Author information

Authors and Affiliations

  1. Depatement of Mathematics, Tianjin University, Tianjin, 300072, China

    Lin-Lin Wang

  2. Department of Mathematics, Lanzhou University, Gansu, Lanzhou, 730000, China

    Lin-Lin Wang, Wan-Tong Li & Pei-Hao Zhao

Authors
  1. Lin-Lin Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wan-Tong Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Pei-Hao Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

This article is published under license to BioMed Central Ltd. This is an Open Access article: Verbatim copying and redistribution of this article are permitted in all media for any purpose, provided this notice is preserved along with the article's original URL.

Reprints and permissions

About this article

Cite this article

Wang, LL., Li, WT. & Zhao, PH. Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays. Adv Differ Equ 2004, 739439 (2004). https://doi.org/10.1155/S1687183904401058

Download citation

  • Received:

  • Published:

  • DOI: https://doi.org/10.1155/S1687183904401058