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

YoonMee Ham, Sang-Gu Lee

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


ttraction-repulsion, chemotaxis, free boundary problem, Hopf bifurcation.

Subject classification

35K57, 35R35, 35B32, 35B25, 35K55, 35K57, 58J55.

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