Analysis of a stochastic delay competition system driven by Lévy noise under regime switching

摘要

This paper is concerned with a stochastic delay competition system drivenby Lévy noise under regime switching. Both the existence and uniqueness of the globalpositive solution are examined. By comparison theorem, sufficient conditions for extinction and non-persistence in the mean are obtained. Some discussions are made todemonstrate that the different environment factors have significant impacts on extinction. Furthermore, we show that the global positive solution is stochastically ultimateboundedness under some conditions, and an important asymptotic property of systemis given. In the end, numerical simulations are carried out to illustrate our main results.