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Existence and stability analysis of spiky solutions for the Gierer–Meinhardt system with large reaction rates

  • Published:2009-08 Issue:16 Volume:238 Page:1695-1710
  • ISSN:0167-2789
  • Container-title:Physica D: Nonlinear Phenomena
  • language:en
  • Short-container-title:Physica D: Nonlinear Phenomena

Author:

Kolokolnikov Theodore,Wei Juncheng,Winter Matthias

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference22 articles.

1. The chemical basis of morphogenesis;Turing;Phil. Trans. R. Soc. London B,1952

2. J. Murray, Mathematical Biology, II: Spatial Models and Biomedical Applications, 3rd ed., Springer-Verlag

3. A theory of biological pattern formation;Gierer;Kybernetik (Berlin),1972

4. Models of Biological Pattern Formation;Meinhardt,1982

5. The Algorithmic Beauty of Sea Shells;Meinhardt,1998

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1. Existence, Stability and Slow Dynamics of Spikes in a 1D Minimal Keller–Segel Model with Logistic Growth;Journal of Nonlinear Science;2024-04-07

2. The existence and stability of spikes in the one-dimensional Keller–Segel model with logistic growth;Journal of Mathematical Biology;2022-11-30

3. Slow localized patterns in singularly perturbed two-component reaction–diffusion equations;Nonlinearity;2022-06-23

4. Codimension-Two Bifurcation Analysis on a Discrete Gierer–Meinhardt System;International Journal of Bifurcation and Chaos;2020-12-28

5. Stabilizing a homoclinic stripe;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2018-11-12
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