[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2016.24.2.215

INTERACTIVE DYNAMICS IN A BISTABLE ATTRACTION-REPULSION CHEMOTAXIS SYSTEM

Ham, YoonMee (Department of Mathematics Kyonggi University)
Lee, Sang-Gu (Department of Mathematics Sungkyunkwan University)

Publication Information

Korean Journal of Mathematics / v.24, no.2, 2016 , pp. 215-233 More about this Journal

Abstract

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

Keywords

attraction-repulsion; chemotaxis; free boundary problem; Hopf bifurcation;

Citations & Related Records

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