%0 Journal Article
%T 一类带Lévy跳的随机混杂互惠系统的渐近性态<br>Asymptotic Behavior of a Stochastic Hybrid Mutualism System with Lévy Jumps
%A 刘丹丹
%A 丁孝全
%J Pure Mathematics
%P 605-621
%@ 2160-7605
%D 2020
%I Hans Publishing
%R 10.12677/PM.2020.106074
%X <p align=\"justify\">
	本文讨论一类带Lévy跳和Markov切换的随机互惠系统的渐近性态。利用Lyapunov函数和随机分析工具，建立了系统的随机持久性、灭绝性和平均意义下的持续性。数值模拟验证了理论结果的合理性。<br />
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 sto-chastic 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.
</p>
%K 互惠系统，Markov切换，Lévy跳，随机持久，灭绝<br>Mutualism System
%K Markovian Switching
%K Lévy Jump
%K Stochastic Permanence
%K Extinction
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=36274