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

Yuxiao Zhao (), Linshan Wang () and Yangfan Wang ()
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Yuxiao Zhao: Ocean University of China
Linshan Wang: Ocean University of China
Yangfan Wang: Ocean University of China

Methodology and Computing in Applied Probability, 2021, vol. 23, issue 3, 859-872

Abstract: 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.

Keywords: Stochastic population model; Polluted environment; Impulsive perturbations; Periodic solutions; Attractivity; 34A37; 34K13; 34K45 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s11009-020-09790-1

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