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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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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.

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Authors and Affiliations

  1. School of Oceanic and Atmospheric Sciences, Ocean University of China, Qingdao, 266100, People’s Republic of China

    Yuxiao Zhao

  2. School of Mathematics Science, Ocean University of China, Qingdao, 266100, People’s Republic of China

    Linshan Wang

  3. School of Marine Life Science, Ocean University of China, Qingdao, 266100, People’s Republic of China

    Yangfan Wang

Authors
  1. Yuxiao Zhao
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  2. Linshan Wang
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  3. Yangfan Wang
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Correspondence to Linshan Wang.

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The work was supproted by program for NSFC of China(No.11771014,31772844)

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Zhao, Y., Wang, L. & Wang, Y. The Periodic Solutions to a Stochastic Two-Prey One-Predator Population Model with Impulsive Perturbations in a Polluted Environment. Methodol Comput Appl Probab 23, 859–872 (2021). https://doi.org/10.1007/s11009-020-09790-1

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  • DOI: https://doi.org/10.1007/s11009-020-09790-1

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