随机多种群竞争系统的动力学行为  

Dynamic behavior of a random multi-competitive system

作　　者：李海红[1] 李海霞[2] LI Hai-hong;LI Hai-xia(Department of Basic Science,Jilin Construction University,Changchun 130024, China;School of Business, Changchun Guanghua University, Changchun 130024, China)

机构地区：[1]吉林建筑大学基础科学部,吉林长春130024 [2]长春光华学院商学院,吉林长春130024

出　　处：《东北师大学报（自然科学版）》2018年第2期162-164,共3页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11171350);吉林省教育厅科研项目(JJKH20180578KJ)

摘　　要：研究了随机Lotka-Volterra多种群竞争系统,通过构造新的随机微分方程和比较原理证明了系统在均值意义下的持久性,利用Feller检验方法得到系统的非持久性条件.An-species competition system with stochastic perturbation is considered.First,by using the method of constructing a new stochastic differential equation and comparison principle,the persistence of the system is given in the sense of mean.Then,the non-persistent conditions is shown by using the Feller’s test.

关 键 词：随机微分方程 随机比较原理 持久性 非持久性 

分 类 号：O211.63[理学—概率论与数理统计]