Global Attracting Behavior of Non-autonomous Stage-structured Population Dynamical System with Diffusion

作     者：Zhong-huaLu Xue-binChi Lan-sunChen 

作者机构：ComputerNetworkInformationCenterChineseAcademyofSciencesBeijing100080China AcademyofMathematicsandSystemSciencesChineseAcademyofSciencesBeijing100080China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2003年第19卷第3期

页      面：467-476页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：the Special Fund for Major State Basic Research Projects (973, G 1999032805) National Hitech Program (863,No.2002AA104540) Postdoctor Fund of China (No.2003033243) the National Natural Science Foundation of China (No.10171106). 

主　　题：Nonautonomous stage structure dispersal periodic solution global attractivity 

摘      要：A non-autonomous single species dispersal model is considered, in which individual member of the population has a life history that goes through two stages, immature and mature. By applying the theory of monotone and concave operators to functional differential equations, we establish conditions under which the system admits a positive periodic solution which attracts all other positive solutions.