具有随机扰动的捕食被捕食系统正解的存在唯一性及持久性  

Existence,uniqueness of positive solutions and persistence for predator-prey systems with random disturbances

作　　者：李海红[1] 李海霞[2] LI Hai-hong;LI Hai-xia(Department of Basic Science,Jilin Jianzhu University,Changchun 130118,China;School of Business,Changchun Guanghua University,Changchun 130031,China)

机构地区：[1]吉林建筑大学基础科学部,吉林长春130118 [2]长春光华学院商学院,吉林长春130031

出　　处：《东北师大学报（自然科学版）》2023年第2期31-34,共4页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11171350);吉林省教育厅“十三五”科研规划项目(JJKH20210250KJ)。

摘　　要：研究了具有随机扰动的捕食被捕食系统,运用比较原理,构造Lyapunov函数得到系统在一定条件下存在唯一正解,且当白噪声较小时,系统具有随机持久性.A predator-prey system system with stochastic disturbation is proposed and analyzed.By using principle of comparison and the method of constructing Lyapunov function,the unique positive solution of the system is proved.And when the white noise is small,the system has stochastic persistence.

关 键 词：LYAPUNOV函数 伊藤公式 存在唯一性 持久性 

分 类 号：O211[理学—概率论与数理统计]