一类带Lévy跳的随机混杂互惠系统的渐近性态  

Asymptotic Behavior of a Stochastic Hybrid Mutualism System with Lévy Jumps

作　　者：刘丹丹 丁孝全 

机构地区：[1]河南科技大学数学与统计学院,河南 洛阳

出　　处：《理论数学》2020年第6期605-621,共17页Pure Mathematics

摘　　要：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。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.

关 键 词：互惠系统 Markov切换 Lévy跳 随机持久 灭绝 

分 类 号：O17[理学—数学]