一类具有额外食饵补充的随机捕食模型动力学行为分析

Stochastic Perturbation Dynamic Behavior Analysis of Additional Food Provided Predator-prey System

考虑了一类额外食饵补充的随机捕食模型,讨论了随机系统全局正解的存在唯一性,给出了随机模型存在平稳分布的条件,讨论了食饵种群、捕食者种群的绝灭条件.最后通过数值仿真验证了上述结论的正确性.

We consider an additional food provided predator-prey system with stochastic perturbation. There exists a unique positive solution of the system with positive initial value, and the existence of the stochastic model stationary distribution is proved. Moreover, the conditions for the system to be extinct are given and the conclusions are verified by numerical simulation.