毒素环境中具有Allee效应的双状态反馈脉冲控制捕食系统的定性分析

Qualitative Analysis of a Prey-Predator System with State Feedback Bilateral Impulsive Control and Allee Effect in Toxic Environment

本文考虑了一类环境中带有毒素且具有Allee效应的捕食–被捕食模型,分析了平衡点及其局部稳定性,还利用后继函数的方法证明了双边控制周期解的存在性,最后的数值模拟结果验证了结论的正确性。

In this paper, we consider a predator-prey model with toxin and Allee effect, analyze the equilibrium point and its local stability, and prove the existence of periodic solution of bilateral control by using the method of successive function. The results of numerical simulation verify the correctness of the conclusion.