期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 14, 期 1, 页码 601-612出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2012.07.020
关键词
Pattern formation; Cross-diffusion; Pattern selection; Finite volume approximation
资金
- European Research Council Advanced Grant [ERC-2008-AdG 227058]
- PRC grant [NSFC-10801115]
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 the 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. (C) 2012 Elsevier Ltd. All rights reserved.
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