Stability analysis of Reaction-Diffusion Systems with constant coefficients on growing domains
by Anotida Madzvamuse
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 1, No. 4, 2008

Abstract: We present stability theory for reaction-diffusion systems with constant coefficients on growing domains. The model equations on growing domains are transformed to fixed domains at each time yielding a conservative system. We derive and show that the diffusion-driven instability conditions for an exponentially growing domain depend on the domain growth rate. By looking at the eigenvalues, we show that the shifting of the Turing space is equivalent to the standard Turing space on a fixed domain but with eigenvalues shifted to the left of the complex plane by a constant factor given by the divergence of the domain velocity.

Online publication date: Fri, 06-Feb-2009

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Dynamical Systems and Differential Equations (IJDSDE):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com