Asymptotic properties of a stochastic n-species Gilpin-Ayala competitive model with Levy jumps and Markovian switching

摘要

In this paper, a stochastic n-species Gilpin-Ayala competitive model with Levy jumps and Markovian switching is proposed and studied. Some asymptotic properties are investigated and sufficient conditions for extinction, non-persistence in the mean and weak persistence are established. The threshold between extinction and weak persistence is obtained. The results illustrate that the asymptotic properties of the considered system have close relationships with Levy jumps and the stationary distribution of the Markovian chain. Moreover, some simulation figures are presented to confirm our main results. (C) 2015 Elsevier B.V. All rights reserved.