A NONAUTONOMOUS STAGE-STRUCTURED SINGLE SPECIES MODEL WITH DIFFUSION

作     者：刘胜强 罗桂烈 江佑霖 Liu Shengqiang (Institute of Math., the Chinese Academy of Sciences, Beijing 100080)Luo Guilie;Jiang Youlin (Dept, of Math., Guangxi Normal University Guilin 541004)

出 版 物：《Annals of Differential Equations》 (微分方程年刊（英文版）)

年 卷 期：2000年第16卷第2期

页      面：153-168页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：nonautonomous stage-structured single species diffusion periodic almost periodic 

摘      要：A stage-structured single species model with diffusion is constructed and is considered, in which the coefficients are time dependent. It is shown that under some appropriate assumptions, the system is persistent. Criteria for the existence and uniqueness of the periodic and almost periodic positive solutions are also given. Further, the stability of almost periodic solution under the disturbances from the hull are discussed.