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Advances in Continuous and Discrete Models

Theory and Modern Applications

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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.

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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

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  1. Lin-Lin Wang
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  2. Wan-Tong Li
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  3. Pei-Hao Zhao
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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

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