【摘要】 对带有Markov切换的随机捕食-食饵系统的动力学行为进行了研究.得到了带有Markov切换的捕食-食饵系统的全局正解的存在唯一性，证明了随机有界性.证明了带有Markov切换的随机捕食-食饵系统存在唯一遍历的平稳分布，给出了高阶扰动下捕食-食饵系统遍历平稳分布的条件和灭绝性的条件.通过数值模拟进一步验证了本文的结论.更多还原

【Abstract】 The dynamic behavior of the stochastic predator-prey system with Markov switching is studied.The existence and uniqueness of the global positive solution for the predator-prey system with Markov switching is obtained, and the random boundedness is proved.It is proved that the random predator-prey system with Markov switching has a unique ergodic stationary distribution.The conditions of the smooth distribution and extinction of the traversal of the predator-prey system under high order disturbance are given.The results are proved by numerical simulation.更多还原