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Periodic Solutions and Global Asymptotic Stability of a Delayed Discrete Predator-Prey System with Holling II Type Functional Response

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Abstract

In this paper, we study the existence and global asymptotic stability of positive periodic solutions of a delayed periodic predator-prey system with Holling II type functional response. By use of the continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions are obtained.

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Authors and Affiliations

  1. College of Information Science and Engineering, Shandong University of Science and Technology, Taian, 271019, China

    Cuimei Zhang, Wencheng Chen & Yu Yang

  2. Department of Mathematics and Physics, Anhui University of Science and Technology, Huainan, 232001, China

    Cuimei Zhang

Authors
  1. Cuimei Zhang
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  2. Wencheng Chen
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  3. Yu Yang
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Corresponding author

Correspondence to Wencheng Chen.

Additional information

This work is supported by Scientific Research Fund of Shandong Agricultural University.

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Zhang, C., Chen, W. & Yang, Y. Periodic Solutions and Global Asymptotic Stability of a Delayed Discrete Predator-Prey System with Holling II Type Functional Response. Jrl Syst Sci & Complex 19, 449–460 (2006). https://doi.org/10.1007/s11424-006-0449-x

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  • DOI: https://doi.org/10.1007/s11424-006-0449-x

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