Survival analysis of a stochastic impulsive single-species population model with migration driven by environmental toxicant

Considering the influence of environmental toxicant on population migration between patches, we propose and study a stochastic impulsive single-species population model with migration driven by environmental toxicant in this paper. We first discuss the existence and uniqueness of global positive solutions of the model by constructing the Lyapunov function. Then, we obtain sufficient conditions for extinction, stochastic persistence and persistence in the mean of the single-species population. Finally, we present some numerical simulations to illustrate our results. These results provide insights for the conservation and management of species in polluted environments.

Automated summary

In this paper, a stochastic impulsive single-species population model with migration driven by environmental toxicant is proposed and studied. The existence and uniqueness of global positive solutions are discussed by constructing the Lyapunov function. Sufficient conditions for extinction, stochastic persistence, and persistence in the mean of the single-species population are obtained. Finally, numerical simulations are presented to illustrate the results. These findings provide insights for the conservation and management of species in polluted environments.