摘要
研究了一类基于污染斑块环境毒素驱使下扩散的单种群模型.通过构造合适的Lyapunov函数分析了系统存在唯一的全局正解,并讨论了解的随机最终有界性;最后获得了种群随机持久、均值持久和灭绝的充分条件.
In this paper,A stochastic single population system with dispersal in driven by the toxin of polluted environment is studied.By constructing a suitable Lyapunov function,the existence and uniqueness of global positive solutions are analyzed,and the stochastic ultimate boundedness of solutions is discussed.Finally,sufficient conditions for the stochastic persistence,persistence in the mean and extinction of population are obtained.
作者
戴祥军
毛志
DAI Xiang-jun;MAO Zhi(School of Data Science of TongRen University,Tongren 554300,China)
出处
《数学的实践与认识》
北大核心
2020年第4期315-320,共6页
Mathematics in Practice and Theory
基金
贵州科技厅合作协议项目(黔科合LH字[2016]7300号)
贵州省教育厅青年科技人才成长项目(黔教合KY字[2018]034)
贵州省创新群体重大研究项目(黔教合KY字[2016]051).
关键词
污染环境
均值持久性
灭绝性
扩散
Polluted environment
persistence in the mean
extinction
dispersal
