Abstract:
The dynamics of a predator-prey metapopulation system with Allee-like effects on the predator is considered. Firstly, the existence and the local stability of the boundry equilibria and the positive equilibria are analyzed, and the existence of a limit cycle is proved if there is only one positive equilibrium point. Then the impact of Allee-like effects and habitat destruction on the predator-prey metapopulation system are analyzed by numerical results. Lastly, the biological meanings are given.