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The Periodic Solutions to a Stochastic Two-Prey One-Predator Population Model with Impulsive Perturbations in a Polluted Environment

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  • Yuxiao Zhao

    (Ocean University of China)

  • Linshan Wang

    (Ocean University of China)

  • Yangfan Wang

    (Ocean University of China)

Abstract

In this paper, the periodic solutions of a stochastic two-prey one-predator model with impulsive perturbations in a polluted environment are focussed. The existence of global positive periodic solutions to the model are discussed by constructing the auxiliary system, and the sufficient conditions for the global attractivity of the periodic solutions are given by using Lyapunov method. An example is introduced to illustrate the effectiveness of our main results.

Suggested Citation

  • Yuxiao Zhao & Linshan Wang & Yangfan Wang, 2021. "The Periodic Solutions to a Stochastic Two-Prey One-Predator Population Model with Impulsive Perturbations in a Polluted Environment," Methodology and Computing in Applied Probability, Springer, vol. 23(3), pages 859-872, September.
    • Handle: RePEc:spr:metcap:v:23:y:2021:i:3:d:10.1007_s11009-020-09790-1
    DOI: 10.1007/s11009-020-09790-1
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    References listed on IDEAS

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    1. Li, Xiaodi & Shen, Jianhua & Rakkiyappan, R., 2018. "Persistent impulsive effects on stability of functional differential equations with finite or infinite delay," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 14-22.
    2. Jiang, Daqing & Zhang, Qiumei & Hayat, Tasawar & Alsaedi, Ahmed, 2017. "Periodic solution for a stochastic non-autonomous competitive Lotka–Volterra model in a polluted environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 276-287.
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    Cited by:

    1. Yuxiao Zhao & Linshan Wang, 2022. "Practical Exponential Stability of Impulsive Stochastic Food Chain System with Time-Varying Delays," Mathematics, MDPI, vol. 11(1), pages 1-12, December.

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