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Spike density distribution for the Gierer–Meinhardt model with precursor

  • Published:2020-01 Issue: Volume:402 Page:132247
  • ISSN:0167-2789
  • Container-title:Physica D: Nonlinear Phenomena
  • language:en
  • Short-container-title:Physica D: Nonlinear Phenomena

Author:

Kolokolnikov Theodore,Xie Shuangquan

Funder

NSERC, Canada

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference19 articles.

1. A theory of biological pattern formation;Gierer;Kybernetik,1972

2. The stability of spike solutions to the one-dimensional Gierer–Meinhardt model;Iron;Physica D,2001

3. Stable spike clusters for the one-dimensional Gierer–Meinhardt system;Wei;European J. Appl. Math.,2017

4. Mathematical Biology. II Spatial Models and Biomedical Applications;Murray,2001

5. Mathematical Aspects of Pattern Formation in Biological Systems, Vol. 189;Wei,2013

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Turing–Hopf Bifurcation in Diffusive Gierer–Meinhardt Model;International Journal of Bifurcation and Chaos;2022-03-30

2. Pattern formation from spatially heterogeneous reaction–diffusion systems;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2021-11-08

3. Concentration phenomena on Y-shaped metric graph for the Gierer–Meinhardt model with heterogeneity;Nonlinear Analysis;2021-04

4. Stability of multi-peak symmetric stationary solutions for the Schnakenberg model with periodic heterogeneity;Communications on Pure & Applied Analysis;2020
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