Mathematical analysis and numerical simulation of pattern formation under cross-diffusion

Cross-diffusion driven instabilities have gained a considerable attention in the field of population dynamics, mainly due to their ability to predict some important features in the study of spatial distribution of species in ecological systems. This paper is concerned with some mathematical and numerical aspects of a particular reaction-diffusion system with cross-diffusion, modeling the effect of allelopathy on two plankton species. Based on a stability analysis and a series of numerical simulations performed with a finite volume scheme, we show that the cross-diffusion coefficient plays a important role on the pattern selection.


Published in:
Nonlinear Analysis: Real World Applications, 14, 1, 601-612
Year:
2013
Publisher:
Oxford, Pergamon-Elsevier Science Ltd
Keywords:
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 Record created 2012-07-20, last modified 2018-03-17

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