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A Hopf Bifurcation in a Three‐Component Reaction‐Diffusion System with a Chemoattraction

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  • YoonMee Ham
  • Sang-Gu Lee
  • Quoc Phong Vu

Abstract

We consider a three‐component reaction‐diffusion system with a chemoattraction. The purpose of this work is to analyze the chemotactic effects due to the gradient of the chemotactic sensitivity and the shape of the interface. Conditions for existence of stationary solutions and the Hopf bifurcation in the interfacial problem as the bifurcation parameters vary are obtained analytically.

Suggested Citation

  • YoonMee Ham & Sang-Gu Lee & Quoc Phong Vu, 2013. "A Hopf Bifurcation in a Three‐Component Reaction‐Diffusion System with a Chemoattraction," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:830386
    DOI: 10.1155/2013/830386
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    References listed on IDEAS

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    1. Mimura, Masayasu & Tsujikawa, Tohru, 1996. "Aggregating pattern dynamics in a chemotaxis model including growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(3), pages 499-543.
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