具有阶段结构的随机捕食-食饵模型  

Stochastic Predator-Prey System with Stage Structure

作　　者：张瑞敏 魏春金[1] ZHANG Ruimin;WEI Chunjin(School of Science,Jimei University,Xiamen 361021,China)

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2023年第3期267-272,共6页Journal of Jimei University：Natural Science

基　　金：国家自然科学基金项目(11971405,22072057)。

摘　　要：建立一个带有Beddington-DeAngelis型功能反应与阶段结构的随机捕食-食饵模型。通过构造Lyapunov函数,证明该系统全局正解的存在唯一性,得到正解全局渐近稳定的充分条件。最后给出数值模拟来说明噪声强度对种群系统的影响。In this paper,a stochastic predator-prey system with Beddington-DeAngelis functional response and stage structure were established.It was shown that there existed a unique positive equilibrium point of the system by constructing Lyapunov functions,and sufficient conditions that the positive equilibrium point is globally asymptotically stable were obtained.Finally,numerical simulations were given to illustrate the effect of noise intensity on the population system.

关 键 词：Beddington-DeAngelis型功能反应 阶段结构 LYAPUNOV函数 全局渐近稳定 

分 类 号：O175.13[理学—数学]