具有时滞和反馈控制的Logistic增长模型的正周期解  

Perodicity of the Delay Logistic Model with Feedback Control

作　　者：孙德献[1] 陈凤德[1] 陈晓星[1] 

机构地区：[1]福州大学数学系,福建福州350002

出　　处：《生物数学学报》2005年第4期447-455,共9页Journal of Biomathematics

基　　金：福建省青年科技人才人才创新基金(2004J002);福建省教育厅基金(JA04156)资助项目

摘　　要：首次研究同时具有状态依赖时滞和连续时滞的反馈控制Logistic增长模型,利 用重合度理论研究其正周期解的存在性问题,得到了该系统周期正解存在的充分性条件,同时通 过构造适当地Lyapunov泛函得到保证该系统(在适当限制下)存在全局稳定周期解的充分性条 件,得到一些新结果,所得结果推广和改进了相关文献的主要结果．In this paper, we first establish delay and continuous delay and feedback control the Logistic model with both state-dependent then after developing some new technique of analysis, using the theory of coincide degree, Some new results for the existence of the postive periodic solution of the system are obtained. By constructing suitable Lyapunov functional, sufficient condition which guarantee the global attractivity of the T-periodic solution are obtained. Our results improve and generalize some known results.

关 键 词：状态依赖时滞 连续时滞 周期正解 重合度 反馈控制 

分 类 号：O175.14[理学—数学]