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Protection Zone in a Diffusive Predator-Prey Model with Beddington-DeAngelis Type Functional Response

Speaker

Xiao He, Dalian Minzu University

Time

2017.01.05 15:00-16:00

Venue

601 Pao Yue-Kong Library

Abstract

Protection zones are used to establish banned fishing areas and fishing periods to cope with over-fishing in fishery production, and set up nature reserves to protect endangered species, and so on. We mainly use the local bifurcation analysis and the global bifurcation analysis to show the effect of the prey’s refuge and the size of the protection zone on the coexistence and stability of a predator-prey system with Beddington-DeAngelis type functional response, and the effect of the conversion rate of food to the uniqueness and stability of solutions with specific m = 0.