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

被引：1
|
作者：
Wu, Xiujuan [1 ]
Luo, Yong [1 ]
Hu, Yizheng [1 ]
机构：
[1] Wenzhou Univ, Coll Math & Informat Sci, Wenzhou 325035, Zhejiang, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
基金：
美国国家科学基金会;
关键词：
STABILITY; SYSTEM; EXISTENCE; EQUATIONS; DYNAMICS;
D O I：
10.1155/2014/679131
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：13
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