一类带有无穷时滞的Lotka-Volterra食饵捕食系统的正周期解  

Positive Periodic Solutions of Lotka-Volterrra Predator-Prey Systems with Infinite Delays

作　　者：王利波 徐瑰瑰 WANG Li-bo;XU Gui-gui(School of Sciences,Kaili University,Kaili 556011,China)

机构地区：[1]凯里学院理学院,贵州凯里556011

出　　处：《数学的实践与认识》2022年第8期146-154,共9页Mathematics in Practice and Theory

基　　金：贵州省教育厅青年科技人才成才项目(黔教合KY字[2018]361,黔教合KY字[2017]328)。

摘　　要：首先给出了一类带有无穷时滞的Lotka-Volterra食饵捕食系统,接着使用Krasnoselskii's不动点定理研究了其正周期解的存在性;然后证明了正周期解的全局吸引性;最后,给出了一个例子.This paper deal with a delayed Lotka-Volterra predator-prey model,which is a system of differential equation with infinite integral.The authors study the existence of positive periodic solutions of the model by using the Krasnoselskii’sfixed point theorem,a sufficient condition for the global attractivity of periodic solutions of the systems is obtained.Finally,an example is presented to verify the validity of the main results.

关 键 词：Lotka-Volterra食饵捕食系统 无穷时滞 Krasnoselskii’s不动点定理 正周期解 

分 类 号：Q141[生物学—生态学] O175[生物学—普通生物学]