A HOPF BIFURCATION IN AN ATTRACTION-ATTRACTION CHEMOTAXIS SYSTEM WITH GLOBAL COUPLING

被引：0

作者：

Ham, Yoonmee ^{[1
]}

机构：

[1] Kyonggi Univ, Dept Math, Suwon 443760, South Korea

来源：

KOREAN JOURNAL OF MATHEMATICS | 2023年 / 31卷 / 02期

关键词：

attraction-attraction; chemotaxis; free boundary problem; Hopf bifurcation; TRAVELING-WAVES; MODEL;

D O I：

10.11568/kjm.2023.31.2.203

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a bistable attraction-attraction chemotaxis system with global coupling term. The study in this paper asserts that conditions for chemotactic coefficients for attraction and attraction and the global coupling constant to show existence of stationary solutions and Hopf bifurcation in the interfacial problem as the bifurcation parameters vary are obtained analytically.

引用

页码：203 / 216

页数：14

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