Dynamics of a nonautonomous predator–prey dispersion–delay system with Beddington–DeAngelis functional response

A nonautonomous predator–prey dispersion–delay model with Beddington–DeAngelis functional response is investigated. It is proved that the general nonautonomous system is permanent and globally asymptotically stable under appropriate conditions. Furthermore, if the system is a(n) (almost) periodic one, a set of easily verifiable sufficient conditions are established, which guarantee the existence, uniqueness and global asymptotic stability of a positive (almost) periodic solution of the system.