Asymptotic Behavior of a Stochastic Hybrid Mutualism System with Lévy Jumps

丹丹 刘

Published 2020 in Pure Mathematics

ABSTRACT

This paper is concerned with the asymptotic behavior of a stochastic mutualism system driven by Lévy jumps under Markovian switching. By using Lyapunov functions and some techniques in stochastic calculus, the sufficient conditions for stochastic permanence, extinction, and persistence in mean are established respectively. Finally, some numerical simulations are given to illustrate our theoretical results.

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