Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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A HOPF BIFURCATION IN AN ATTRACTION-ATTRACTION CHEMOTAXIS SYSTEM WITH GLOBAL COUPLING

  • YoonMee Ham (Department of Mathematics, Kyonggi University)
  • Received : 2023.03.08
  • Accepted : 2023.06.21
  • Published : 2023.06.30
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Abstract

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.

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Acknowledgement

This work was supported by Kyonggi University Research Grant 2021.

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