具有随机扰动的3种群Holling-Ⅱ型食物链系统的正解的存在唯一性  

The unique positive solution of the three species Holling-Ⅱ system with random disturbance

作　　者：李海红[1] 李海霞[2] 孔灵柱[3] LI Hai-hong;LI Hai-xia;KONG Ling-zhu(Department of Basic Science,Jilin Jianzhu University,Changchun 130118,China;School of Business,Changchun Guanghua University,Changchun 130031,China;School of Economics and Management,Jilin Jianzhu University,Changchun 130118,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 [3]吉林建筑大学经济与管理学院,吉林长春130118

出　　处：《东北师大学报（自然科学版）》2022年第1期44-46,共3页Journal of Northeast Normal University(Natural Science Edition)

基　　金：吉林省自然科学基金资助项目(20200201274JC);吉林省教育厅“十三五”科研规划项目(JJKH20200264KJ,JJKH20210250KJ).

摘　　要：建立并分析了随机3种群Holling-Ⅱ型食物链模型,讨论了其确定性系统的平衡点及其稳定性,应用Lyapunov方法得到该类系统正解的存在唯一性.A three species Holling-Ⅱ system with stochastic disturbation is proposed and analyzed.First, the equilibrium point and stability of the deterministic system are discussed.Then, by using the method of constructing Lyapunov function, the existence of unique positive solution is proved.

关 键 词：LYAPUNOV函数 伊藤公式 存在唯一性 稳定性 

分 类 号：O29[理学—应用数学]