Volume 3, Issue 2
Numerical Investigations of the Dynamical Behaviors and Instabilities for the Gierer-Meinhardt System

Zhonghua Qiao

DOI:

Commun. Comput. Phys., 3 (2008), pp. 406-426.

Published online: 2008-03

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  • Abstract

This work is concerned with the numerical simulations on the GiererMeinhardt activator-inhibitor models. We consider the case when the inhibitor time constant τ isnon-zero. Inthis case,oscillations andpulsesplitting areobservednumerically. Numerical experiments are carried out to investigate the dynamical behaviors and instabilities of the spike patterns. The numerical schemes used are based upon an efficient moving mesh finite element method which distributes more grid points near the localized spike regions. 

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@Article{CiCP-3-406, author = {Zhonghua Qiao}, title = {Numerical Investigations of the Dynamical Behaviors and Instabilities for the Gierer-Meinhardt System}, journal = {Communications in Computational Physics}, year = {2008}, volume = {3}, number = {2}, pages = {406--426}, abstract = {

This work is concerned with the numerical simulations on the GiererMeinhardt activator-inhibitor models. We consider the case when the inhibitor time constant τ isnon-zero. Inthis case,oscillations andpulsesplitting areobservednumerically. Numerical experiments are carried out to investigate the dynamical behaviors and instabilities of the spike patterns. The numerical schemes used are based upon an efficient moving mesh finite element method which distributes more grid points near the localized spike regions. 

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7861.html} }
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