Long time behaviors of single-species population models with psychological effect and impulsive toxicant in polluted environments

摘要

In this paper, we formulate and study the single-species population models with impulsive toxicant input in polluted environments. For the deterministic single-species population model, the threshold between persistence and extinction is established for single-species population. For the stochastic single-species population model, there is a unique positive solution, which is a prerequisite for analyzing the long-term behavior of the stochastic model. Then, a threshold dynamic determined by ( mu) over bar is established, which mainly determines the persistence or extinction of the single-species. Numerical simulations are carried out to support our theoretical results. (C) 2019 Elsevier B.V. All rights reserved.