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Stability and Bifurcation Analysis in a Nonlocal Diffusive Predator-prey Model with Hunting Cooperation
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KeyWord:Predator-prey system  Nonlocal competition  Stability  Hopf bifurcation  Turing bifurcation
Author NameAffiliation
Chaozhi Zhu Department of Mathematics, Donghua University, Shanghai 201620, China 
Yahong Peng Department of Mathematics, Donghua University, Shanghai 201620, China 
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      In this paper, we propose a diffusive predator-prey model with hunting cooperation and nonlocal competition. Under a rather general selection of the kernel function, we first study the stability of the positive equilibrium of the model. Then, we obtain the conditions which Hopf bifurcation and Turing bifurcation occur. Our results show that nonlocal competition plays an important role in determining the dynamics of the model.