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PATTERN FORMATION IN CHEMOTAXIC REACTION-DIFFUSION SYSTEMS

PATTERN FORMATION IN CHEMOTAXIC REACTION-DIFFUSION SYSTEMS
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摘要 In this study, we investigate two-dimensional patterns generated by chemotaxis reaction-diffusion systems. We numerically examine the Keller-Segel models with the volume-filling aggregation term and the receptor aggregation term in two dimensions. Spotted, striped and reversed spotted patterns are obtained as stable motionless equi- librium patterns. The relative stability of these patterns is studied numerically on the basis of the derived free energy. The intuitive understanding of these generated patterns and the relation with three-dimensional patterns are also discussed.
出处 《International Journal of Biomathematics》 2012年第3期205-213,共9页 生物数学学报(英文版)
关键词 CHEMOTAXIS Keller Segel model stability analysis. 反应扩散系统 立体图案 相对稳定 数值模拟 数值研究 l模型 自由能 聚集
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