Traveling Waves in a Diffusive Predator-Prey Model Incorporating a Prey Refuge

Xiujuan Wu, Yong Luo and Yizheng Hu

Abstract and Applied Analysis, 2014, vol. 2014, 1-13

Abstract:

We establish the existence of traveling wave solutions and small amplitude traveling wave train solutions for a reaction-diffusion system based on a predator-prey model incorporating a prey refuge. By using the shooting argument, invariant manifold theory, and the Hopf bifurcation theorem, we analyze the dynamic behavior of this model in the three-dimensional phase space. Numerical results are also presented to illustrate the theoretical results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:679131

DOI: 10.1155/2014/679131

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