A Hopf Bifurcation in a Three-Component Reaction-Diffusion System with a Chemoattraction

被引：0
|
作者：
Ham, YoonMee [1 ]
Lee, Sang-Gu [2 ]
Quoc Phong Vu [3 ,4 ]
机构：
[1] Kyonggi Univ, Dept Math, Suwon 443760, South Korea
[2] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
[3] Ohio Univ, Dept Math, Athens, OH 45701 USA
[4] Vietnam Inst Adv Study Math, Hanoi, Vietnam
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
CHEMOTAXIS-GROWTH; WAVES;
D O I：
10.1155/2013/830386
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a three-component reaction-diffusion system with a chemoattraction. The purpose of this work is to analyze the chemotactic effects due to the gradient of the chemotactic sensitivity and the shape of the interface. Conditions for existence of stationary solutions and the Hopf bifurcation in the interfacial problem as the bifurcation parameters vary are obtained analytically.
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页数：11
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