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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
In this paper, the dynamics of strong Allee effect in a reaction-diffusion predator-prey system with Beddington-DeAngelis functional response will be studied. The existence, uniqueness and stability of solution will be exploration. In particular, it is shown that the overexploitation phenomenon can be avoided if the Allee effect threshold is low and the protection zone is large. These results show that the Allee effect increases the system complexity.