污染环境中带时滞的随机竞争模型生存性分析  

Survival Analysis of Stochastic Competition Model with Time Delay in Polluted Environment

作　　者：陈沙沙 廖新元[1] 李佳季 CHEN Shasha;LIAO Xinyuan;LI Jiaji(School of Mathemattics and Physics,University of South China,Hengyang,Hunan 421001,China)

机构地区：[1]南华大学数理学院,湖南衡阳421001

出　　处：《南华大学学报（自然科学版）》2020年第6期55-61,共7页Journal of University of South China：Science and Technology

摘　　要：对一类在污染环境下带时滞的随机种群竞争模型进行研究,利用It公式以及相关理论,得到两种群灭绝、非平均持久、弱平均持久及强平均持久的充分条件,分析灭绝与弱平均持久生存的阈值,并通过MATLAB仿真验证主要结果。This paper studied a kind of stochastic population competition model with time delay in polluted environment.By using the It formula and related theory,it obtained the sufficient conditions of two species extinction,non average persistence,weak average persistence and strong average persistence.Finally,it analyzed the threshold of extinction and weak average persistence,and verified the main results by simulation.

关 键 词：种群竞争时滞模型 污染环境 随机干扰 生存分析 

分 类 号：O175[理学—数学]