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所属单位：理学院

发表刊物：MATHEMATICAL BIOSCIENCES AND ENGINEERING

关键字：Cross-diffusions Hopf bifurcation turing bifurcation pattern selection amplitude equation zebrafish

摘要：This paper investigates the spatial dynamics of a zebrafish model with cross-diffusions. Sufficient conditions for Hopf bifurcation and Turing bifurcation are obtained by analyzing the associated characteristic equation. In addition, we deduce amplitude equations based on multiple-scale analysis, and further by analyzing amplitude equations five categories of Turing patterns are gained. Finally, numerical simulation results are presented to validate the theoretical analysis. Furthermore, some examples demonstrate that cross-diffusions have an effect on the selection of patterns, which explains the diversity of zebrafish pattern very well.

ISSN号：1547-1063

是否译文：否

发表时间：2017-08-01

合写作者：Zhang, Qianjin,Zhu, Linhe

通讯作者：赵洪涌