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

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 analyz...

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Bibliographic Details
Main Authors: Xiujuan Wu, Yong Luo, Yizheng Hu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/679131