Global positive periodic solutions of age-dependent competing systems  

作　　者：HE Ze-rong LIU Li-li LUO Zhi-xue 

机构地区：[1]Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018, China [2]Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2011年第1期38-46,共9页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China (10771048, 11061017)

摘　　要：This paper is to investigate positive periodic solutions of a biological system composed of two competing species. The existence and uniqueness of nonnegative solutions to the model for a set of given vital rates and initial distribution are treated and the contractive property of the solutions explored. Based on these results, some simple conditions for the global existence of positive periodic orbits are established by means of Horn＇s asymptotic fixed point theorem.This paper is to investigate positive periodic solutions of a biological system composed of two competing species. The existence and uniqueness of nonnegative solutions to the model for a set of given vital rates and initial distribution are treated and the contractive property of the solutions explored. Based on these results, some simple conditions for the global existence of positive periodic orbits are established by means of Horn＇s asymptotic fixed point theorem.

关 键 词：Population dynamics AGE-STRUCTURE Poincare mapping fixed point. 

分 类 号：Q141[生物学—生态学] O175.1[生物学—普通生物学]