具有变时滞随机三种群食物链模型的渐近行为  

Asymptotic Behavior of a Stochastic Three-Species Food Chain Model with Time-Varying Delays

作　　者：赵裕晓 王林山[2] Zhao Yuxiao;Wang Linshan(College of Oceanic and Atmospheric Sciences,Ocean University of China,Qingdao 266100,China;School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China)

机构地区：[1]中国海洋大学海洋与大气学院,山东青岛266100 [2]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2023年第8期132-136,共5页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(11771014)资助。

摘　　要：本文研究了一类具有变时滞随机三种群食物链模型。利用Razumikhin和Lyapunov方法,讨论了该模型全局正解的存在性和渐近性,给出了该模型一阶矩实用指数稳定和指数稳定性的充分条件。通过数值模拟说明了理论的有效性。In this paper,a stochastic three-species food chain model with time-varying delays is focused.First,the existence and asymptotic behavior of the global positive solutions of the model are discussed.Then,the sufficient conditions for the 1st moment practical exponential stability and exponential stability of the model are given by using the Razumikhin technique and Lyapunov method.Finally,numerical simulations verify the analytical findings.

关 键 词：食物链模型 随机扰动 变时滞 实用指数稳定 指数稳定性 

分 类 号：O193[理学—数学]