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The periodic solutions to a stochastic two-prey one-predator population model with impulsive perturbations in a polluted environment. (English) Zbl 1473.92032

Summary: 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.

MSC:

92D25 Population dynamics (general)
34A37 Ordinary differential equations with impulses
34K13 Periodic solutions to functional-differential equations
34K45 Functional-differential equations with impulses
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