Chattopadhyay, J. ; Sarkar, A. K. ; Tapaswi, P. K. (1996) Effect of cross diffusion on a diffusive prey predator system - a nonlinear analysis Journal of Biological Systems, 4 (2). pp. 159-169. ISSN 0218-3390
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Official URL: http://www.worldscinet.com/jbs/04/0402/S0218339096...
Related URL: http://dx.doi.org/10.1142/S0218339096000120
Abstract
In this paper, we show that a simple prey-predator diffusive system may give rise to spontaneous emergence of dissipative structure (patchiness) only in the presence of cross-diffusion. The critical wave-length just sufficient to drive the system to local instability has been worked out. Moreover, by constructing a suitable Liapunov function, we have also investigated the global behaviour of the dissipative structure.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to World Scientific Publishing Co Pte Ltd. |
| Keywords: | Dissipative Structure; Cross-diffusion; Critical Wave-length; Global Stability |
| ID Code: | 7461 |
| Deposited On: | 25 Oct 2010 11:28 |
| Last Modified: | 30 May 2011 06:38 |
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