具恐惧效应Leslie-Gower捕食-食饵系统的概周期解

Almost periodic solution of a Leslie-Gower predator-prey model with fear effect

研究一类具恐惧效应Leslie-Gower捕食-食饵系统。利用微分不等式并通过构造适当的Lyapunov函数,分别得到保证该系统持久性和全局吸引性的充分条件。接着利用概周期微分方程壳理论,证明了系统概周期解的存在性和唯一性。

We consider a Leslie-Gower predator-prey model with fear effect.By using differential inequality and constructing suitable Lyapunov function,sufficient conditions ensuring the persistence and global attractivity of the system are obtained respectively.Further,based on the almost periodic functional hull theory,we investigate the existence and uniqueness of the almost periodic solution.