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 The global bifurcation for a prey-predator model with
cross-diffusion and B-D functional response


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 The global bifurcation for a prey-predator model with
cross-diffusion and B-D functional response
 WANG Xiaoli RONG Yuetang DONG Miaona HE Di
 School of Science, Xi’an Polytechnic University, Xi’an 710048, China
 cross-diffusion predator-prey model a priori estimate global bifurcation
O 175.26
 This paper concerns the existence of positive solutions for a predator-prey model with cross-diffusion and B-D functional response under homogeneous Dirichlet boundary conditions. By the maximum principle, a priori estimate of positive solutions are obtained. By considering the related eigenvalue problems, two unbounded neutral curves are given. Then by Crandall-Rabinowitz bifurcation theory, the existence of positive solutions to a local bifurcation is proved. Finally, the local bifurcation is developed to the global one.


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Last Update: 2016-10-08