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
DOI: 10.12677/PM.2020.106074, PDF,    国家自然科学基金支持
作者: 刘丹丹, 丁孝全*：河南科技大学数学与统计学院，河南 洛阳
关键词: 互惠系统；Markov切换；Lévy跳；随机持久；灭绝；Mutualism System； Markovian Switching； Lévy Jump； Stochastic Permanence； Extinction
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。
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 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.
文章引用：刘丹丹, 丁孝全. 一类带Lévy跳的随机混杂互惠系统的渐近性态[J]. 理论数学, 2020, 10(6): 605-621. https://doi.org/10.12677/PM.2020.106074

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