# Qualitative Analysis of a Prey-Predator Model with Stage Structure for the Predator

@article{Du2008QualitativeAO, title={Qualitative Analysis of a Prey-Predator Model with Stage Structure for the Predator}, author={Yihong Du and P. Pang and M. Wang}, journal={SIAM J. Appl. Math.}, year={2008}, volume={69}, pages={596-620} }

In this paper, we propose a diffusive prey-predator model with stage structure for the predator. We first analyze the stability of the nonnegative steady states for the reduced ODE system and then study the same question for the corresponding reaction-diffusion system with homogeneous Neumann boundary conditions. We find that a Hopf bifurcation occurs in the ODE system, but no Turing pattern happens in the reaction-diffusion system. However, when a natural cross diffusion term is included in… Expand

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