具反馈控制的Logistic生长系统周期正解的存在性和全局吸引性

• 来源期刊: 微分方程年刊（英文版）
• 学科: 数学
• 关键词: positive periodic solution Logistic growth system feedback control global attractivity coincidence degree
• 年，卷（期）: 2001,（4）
• 页码范围: 377-384
• 页数: 8页
• 分类号: O1
• 语种: 英文

摘要

In this paper, we study the existence and global attractivity of positive periodic solutions of a Logistic growth system with feedback control and deviating arguments. A sufficient condition is derived for the existence of a unique periodic solution with strictly positive components which is globally asymptotically stable by using the method of coincidence degree and Liapunov functional. Some new results are obtained. The known results are improved and generalized.