摘要
利用上下解，Ｂｒｏｕｗｅｒ不动点原理及Ｌｙａｐｕｎｏｖ泛函方法，讨论了一类具有反馈控制的Ｌｏｇｉｓｔｉｃ扩散系统的周期解问题；获得了周期解存在且稳定的判别条件．
The stability of periodic solution for Logisitic diffusion systems with feedback control is discussed in this paper,the sufficient conditions for the existence and stability of the periodic solution are given by method of comparison theorems and Brouwer's fixed point theorem and Lyapunov function.
