Asymptotic behavior of solutions in nonautonomous predator–prey patchy system with beddington-type functional response

In this paper, we study the asymptotic behavior of solutions in nonautonomous predator–prey patchy system with Beddington-type functional response. It is proved that the system is permanent under some appropriate conditions. Furthermore, if the system is a(n) (almost) periodic one, a set of easily verifiable sufficient conditions which guarantee the existence, uniqueness and global asymptotic stability of a positive (almost) periodic solutions of system are obtained.