# Bifurcation analysis of a diffusive predator-prey system with a herd behavior and quadratic mortality

@article{Xu2015BifurcationAO, title={Bifurcation analysis of a diffusive predator-prey system with a herd behavior and quadratic mortality}, author={Z. Xu and Y. Song}, journal={Mathematical Methods in The Applied Sciences}, year={2015}, volume={38}, pages={2994-3006} }

In this paper, a diffusive predator–prey system, in which the prey species exhibits herd behavior and the predator species with quadratic mortality, has been studied. The stability of positive constant equilibrium, Hopf bifurcations, and diffusion-driven Turing instability are investigated under the Neumann boundary condition. The explicit condition for the occurrence of the diffusion-driven Turing instability is derived, which is determined by the relationship of the diffusion rates of two… Expand

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