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On an Impulsive Food Web System with Mutual Interference and Distributed Time Delay

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  • Zhen Wang
  • Liwei Liu
  • Guangwang Su
  • Yuanfu Shao

Abstract

In this paper, we present a predator-prey system with mutual interference and distributed time delay and study its dynamical behavior. Based on the existence and universality of mutual interference among species, it is necessary to further study an impulsive food web system. By using stability theory, slight perturbation technique, and comparison theorem, we obtain some theoretical results of the system, such as boundedness and permanence. Moreover, numerical experiments are used to verify the theoretical results and to explore the dynamical behavior of the system, which exhibits rich dynamical behavior such as chaotic oscillation, periodic oscillation, symmetry-breaking bifurcations, chaotic crises, and period bifurcation. Finally, we give some practical guidelines for biological systems based on the theoretical results and numerical experiments of the system.

Suggested Citation

  • Zhen Wang & Liwei Liu & Guangwang Su & Yuanfu Shao, 2020. "On an Impulsive Food Web System with Mutual Interference and Distributed Time Delay," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-21, January.
    • Handle: RePEc:hin:jnddns:7629763
    DOI: 10.1155/2020/7629763
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    Cited by:

    1. Han Pan & Wenbing Zhang & Luyang Yu, 2022. "Exponential Stability of Switched Neural Networks with Partial State Reset and Time-Varying Delays," Mathematics, MDPI, vol. 10(20), pages 1-20, October.

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