关键词: 非自治捕食系统; 持久性; 全局渐近稳定性; 周期; 概周期

Abstract:

In this paper, the dynamics of a nonautonomous predator system are investigated. Some sufficient conditions which guarantee the permanence and the global asymptotic stability of the system are determined by using compare theory and constructing a suitable Lyapunov function. For the periodic case and almost periodic case, by using Brouwer fixed point theorems and constructing Lyapunov function to adjoint system, existence and uniqueness of a positive periodic and almost periodic solution are obtained, which generalizes the known result.

Key words: nonautonomous predator system; persistence; global asymptotic stability; periodic; almost periodic