Effect of cross-diffusion on pattern formation - a nonlinear analysis

Chattopadhyay, J. ; Tapaswi, P. K. (1997) Effect of cross-diffusion on pattern formation - a nonlinear analysis Acta Applicandae Mathematicae, 48 (1). pp. 1-12. ISSN 0167-8019

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Official URL: http://www.springerlink.com/content/m4xk0x5l015n28...

Related URL: http://dx.doi.org/10.1023/A:1005764514684

Abstract

In this paper, we consider a model for the switching behaviour (determination) of a cell proposed by Meinhardt (1982) and observe that this two component system can create a pattern only in the presence of cross-diffusion. We also analyse the global behaviour of this model system by the Bendixson-Dulac criteria and Liapunov functional method.

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ID Code:7458
Deposited On:25 Oct 2010 11:28
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