Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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INTERACTIVE DYNAMICS IN A BISTABLE ATTRACTION-REPULSION CHEMOTAXIS SYSTEM

  • Ham, YoonMee (Department of Mathematics Kyonggi University) ;
  • Lee, Sang-Gu (Department of Mathematics Sungkyunkwan University)
  • Received : 2016.01.11
  • Accepted : 2016.05.04
  • Published : 2016.06.30
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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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References

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