具有心理效应的随机扰动捕食-食饵模型

Analysis of a Predator-Prey Model with Random Perturbations and Psychological Effects

考虑了具有心理效应的随机扰动捕食-食饵模型。通过构造Lyapunov函数证明系统的全局正解的存在唯一性,并且给出了系统平均持续生存和灭绝的充分条件。最后,通过数值模拟来证实理论结果。

In this paper,a predator-prey model with random perturbations and psychological effects was considered.It was shown that there exists a unique positive solution of the system by constructing Lyapunov functions.Sufficient conditions of the system to be extinct and persistent in mean were also established.Finally,numerical simulations were given to illustrate the theoretical results.