Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Transition to blow-up in a reaction–diffusion model with localized spike solutions

European Journal of Applied Mathematics 28 (06) 1015 (2017)
DOI: 10.1017/S0956792517000043
See this article

Dynamics of pulse solutions in Gierer–Meinhardt model with time dependent diffusivity

Yana Nec
Journal of Mathematical Analysis and Applications 457 (1) 585 (2018)
DOI: 10.1016/j.jmaa.2017.08.027
See this article

Synchronized Oscillatory Dynamics for a 1-D Model of Membrane Kinetics Coupled by Linear Bulk Diffusion

J. Gou, Y. X. Li, W. Nagata and M. J. Ward
SIAM Journal on Applied Dynamical Systems 14 (4) 2096 (2015)
DOI: 10.1137/15M1039122
See this article

A theory of synchrony by coupling through a diffusive chemical signal

Jia Gou, Wei-Yin Chiang, Pik-Yin Lai, Michael J. Ward and Yue-Xian Li
Physica D: Nonlinear Phenomena 339 1 (2017)
DOI: 10.1016/j.physd.2016.08.004
See this article

Existence, Stability, and Dynamics of Ring and Near-Ring Solutions to the Saturated Gierer--Meinhardt Model in the Semistrong Regime

Iain R. Moyles and Michael J. Ward
SIAM Journal on Applied Dynamical Systems 16 (1) 597 (2017)
DOI: 10.1137/16M1060327
See this article

Explicitly Solvable Nonlocal Eigenvalue Problems and the Stability of Localized Stripes in Reaction-Diffusion Systems

I. Moyles, W. H. Tse and M. J. Ward
Studies in Applied Mathematics 136 (1) 89 (2016)
DOI: 10.1111/sapm.12093
See this article

The Stability and Slow Dynamics of Two-Spike Patterns for a Class of Reaction-Diffusion System

Y. Nec, M.J. Ward, L. Lerman, et al.
Mathematical Modelling of Natural Phenomena 8 (5) 206 (2013)
DOI: 10.1051/mmnp/20138513
See this article

Mathematical Modelling of Subdiffusion-reaction Systems

A. A. Nepomnyashchy and V. Volpert
Mathematical Modelling of Natural Phenomena 11 (1) 26 (2016)
DOI: 10.1051/mmnp/201611102
See this article

Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction–diffusion systems

J.C. Tzou, M.J. Ward and T. Kolokolnikov
Physica D: Nonlinear Phenomena 290 24 (2015)
DOI: 10.1016/j.physd.2014.09.008
See this article

Asynchronous Instabilities of Crime Hotspots for a 1-D Reaction-Diffusion Model of Urban Crime with Focused Police Patrol

Wang Hung Tse and Michael J. Ward
SIAM Journal on Applied Dynamical Systems 17 (3) 2018 (2018)
DOI: 10.1137/17M1162585
See this article

Delayed Reaction Kinetics and the Stability of Spikes in the Gierer--Meinhardt Model

Nabil T. Fadai, Michael J. Ward and Juncheng Wei
SIAM Journal on Applied Mathematics 77 (2) 664 (2017)
DOI: 10.1137/16M1063460
See this article

The Linear Stability of Symmetric Spike Patterns for a Bulk-Membrane Coupled Gierer--Meinhardt Model

Daniel Gomez, Michael J. Ward and Juncheng Wei
SIAM Journal on Applied Dynamical Systems 18 (2) 729 (2019)
DOI: 10.1137/18M1222338
See this article

Explicitly solvable eigenvalue problem and bifurcation delay in sub-diffusive Gierer–Meinhardt model

European Journal of Applied Mathematics 27 (5) 699 (2016)
DOI: 10.1017/S0956792516000012
See this article