Abstract
This paper is concerned with the dynamics of a delayed stochastic one-predator two-prey population model in a polluted environment. We show that there exists a unique positive solution that is permanent in time average under certain conditions. Moreover, the global attractively of system is studied. Finally, some numerical simulations are given to illustrate the main results.
Highlights
Open AccessWith the rapid development of economy, environmental pollution has gradually become the major social problem today
This paper is concerned with the dynamics of a delayed stochastic one-predator two-prey population model in a polluted environment
Many species have been extinct, and some of them are on the edge of extinction
Summary
With the rapid development of economy, environmental pollution has gradually become the major social problem today. In the 1980s, Hallam et al [1] [2] [3] firstly proposed the deterministic models to study the impact of environment toxicant on the survival of biological population. Their studies have provided useful bases about protecting species for us. There is little research on the delayed stochastic one-predator two-prey model in a polluted environment. We consider a stochastic delayed one-predator two-prey model with toxicant input in this article.
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