【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．更多还原

【Abstract】 In this paper, we first establish the Logistic model with both state-dependent delay and continuous delay and feedback control, 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.更多还原