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Nonlinear density-dependent diffusion for competing species interactions: Large-time asymptotic behaviour

Published online by Cambridge University Press:  20 January 2009

Anthony W. Leung
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In many biological diffusion-reaction studies, it was found that one should include the effect of density dependent rates, drift terms and spatially varying growth rates, in order to obtain more accurate results. (See e.g. [7],[10], [8] , [3]). On the other hand, many recent mathematical results on reaction-diffusion systems do not include such general setting. This article investigates the behaviour of competing-species reaction-diffusion model under this more general situation. Efforts are made to obtain results concerning coexistence, survival and extinction, by methods similar to that in [5], [6].

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 27 , Issue 2 , June 1984 , pp. 131 - 144
Copyright
Copyright © Edinburgh Mathematical Society 1984

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