Korean J. Math. Vol. 24 No. 2 (2016) pp.215-233
DOI: https://doi.org/10.11568/kjm.2016.24.2.215

Interactive dynamics in a bistable attraction-repulsion chemotaxis system

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Published: Jun 30, 2016
Keywords:
ttraction-repulsion, chemotaxis, free boundary problem, Hopf bifurcation.
Mathematics Subject Classification:
35K57, 35R35, 35B32, 35B25, 35K55, 58J55.

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YoonMee Ham
Department of Mathematics Kyonggi University Suwon 443-760, Republic of Korea
Sang-Gu Lee
Department of Mathematics Sungkyunkwan University Suwon 440-746, Republic of Korea

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.


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