• 论文 •

### 污染环境下毒素脉冲输入和心理效应对随机捕食-食饵系统的影响

1. 集美大学理学院,厦门 361021
• 出版日期:2019-12-25 发布日期:2020-03-20

LAN Guijie,CHEN Zhewen, WEI Chunjin,ZHANG Shuwen. The Effects of Impulsive Toxicant Input and Psychological Effect on Stochastic Predator-Prey Systems in a Polluted Environment[J]. Journal of Systems Science and Mathematical Sciences, 2019, 39(12): 2070-2092.

### The Effects of Impulsive Toxicant Input and Psychological Effect on Stochastic Predator-Prey Systems in a Polluted Environment

LAN Guijie ,CHEN Zhewen, WEI Chunjin ,ZHANG Shuwen

1. School of Sciences, Jimei University, Xiamen 361021
• Online:2019-12-25 Published:2020-03-20

This paper investigates the effects of impulsive toxicant input and psychological effect on stochastic predator-prey systems in a polluted environment. The authors firstly obtain that the system admits unique positive global solution starting from the positive initial value by choosing a suitable Lyapunov function. Then, by comparison theorem for stochastic differential equation, sufficient conditions for extinction and persistence in mean are obtained. On the other hand, the authors prove that there exists at least one nontrivial positive periodic solution according to the theory of Has'minskii. Finally, some numerical simulations are introduced to illustrate the theoretical result.

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