文章基本信息

标题：Asymptotic properties of a stochastic Lotka–Volterra model with infinite delay and regime switching
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作者：Qingteng Lin ; Lijing Chen ; Chunlan Wen 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：155
DOI：10.1186/s13662-018-1609-8
语种：English
出版社：Hindawi Publishing Corporation
摘要：We investigate the long-term properties of a stochastic Lotka–Volterra model with infinite delay and Markovian chains on a finite state space. We investigate that the stochastic model admits a unique positive global solution which stays in the way of stochastically ultimate boundedness by constructing Lyapunov functions. Furthermore, the main results that the growth of the solution is slower than time under moderate condition and moment estimation in time average with the power p could be controlled are derived, which modified the known ones in recent literatures.
关键词：Stochastic Lotka–Volterra model ; Markovian chains ; Infinite delay ; Stochastically ultimate boundedness ; Moment estimation