陈沙沙,廖新元,李佳季.污染环境中带时滞的随机竞争模型生存性分析[J].南华大学学报(自然科学版),2020,34(6):55~61.[CHEN Shasha,LIAO Xinyuan,LI Jiaji.Survival Analysis of Stochastic Competition Model with Time Delay in Polluted Environment[J].Journal of University of South China(Science and Technology),2020,34(6):55~61.]
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
投稿时间:2020-06-01  
DOI:
中文关键词:  种群竞争时滞模型  污染环境  随机干扰  生存分析
英文关键词:population competition delay model  polluted environment  random interference  survival analysis
基金项目:
作者单位E-mail
陈沙沙 南华大学 数理学院,湖南 衡阳 421001 lxy98@hotmail.com 
廖新元 南华大学 数理学院,湖南 衡阳 421001 lxy98@hotmail.com 
李佳季 南华大学 数理学院,湖南 衡阳 421001  
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中文摘要:
      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。
英文摘要:
      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.
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