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Pattern Formation of a Keller-Segel Model with the Source Term

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  • Shengmao Fu
  • Fenli Cao

Abstract

Nonlinear dynamics near an unstable constant equilibrium in a Keller-Segel model with the source term is considered. It is proved that nonlinear dynamics of a general perturbation is determined by the finite number of linear growing modes over a time scale of , where is a strength of the initial perturbation.

Suggested Citation

  • Shengmao Fu & Fenli Cao, 2013. "Pattern Formation of a Keller-Segel Model with the Source Term," Journal of Mathematics, Hindawi, vol. 2013, pages 1-11, October.
    • Handle: RePEc:hin:jjmath:454513
    DOI: 10.1155/2013/454513
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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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