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Pure Mathematics 2020
一类带Lévy跳的随机混杂互惠系统的渐近性态
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Abstract:
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.
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