Stochastic permanence and extinction of a hybrid predator-prey system with jumps

This paper concerns the dynamics of a stochastic Holling-type II predator-prey system with Markovian switching and L{e}vy noise. First, the existence and uniqueness of global positive solution to the system with the given initial value is proved.Then, sufficient conditions for extinction and stochastic permanence of the system are obtained. Finally, an example and its numerical simulations are given to support the theoretical results.

کلیدواژه ها:

Stochastic permanence ، Markov chain ، Levy noise ، Predator-prey system