Existence of traveling wave solutions in a diffusive predator-prey model

被引：126
|
作者：
Huang, JH [1 ]
Lu, G
Ruan, SG
机构：
[1] Cent China Normal Univ, Dept Math, Wuhan 430079, Hubei, Peoples R China
[2] Univ Miami, Dept Math, Coral Gables, FL 33124 USA
来源：
JOURNAL OF MATHEMATICAL BIOLOGY | 2003年 / 46卷 / 02期
关键词：
traveling wave solution; Wazewski set; shooting argument; Hopf bifurcation;
D O I：
10.1007/s00285-002-0171-9
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We establish the existence of traveling front solutions and small amplitude traveling wave train solutions for a reaction-diffusion system based on a predator-prey model with Holling type-II functional response. The traveling front solutions are equivalent to heteroclinic orbits in R-4 and the small amplitude traveling wave train solutions are equivalent to small amplitude periodic orbits in R-4. The methods used to prove the results are the shooting argument and the Hopf bifurcation theorem.
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页码：132 / 152
页数：21
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