Turing instability of the periodic solution for a generalized diffusive Maginu model

被引：5

作者：

Ju, Xiaowei ^{[1
,2
,3
]}

Yang, Yu ^{[1
,2
]}

机构：

[1] Harbin Engn Univ, Coll Intelligent Syst Sci & Engn, Harbin 150001, Heilongjiang, Peoples R China

[2] Harbin Engn Univ, Coll Math Sci, Harbin 150001, Heilongjiang, Peoples R China

[3] Heilongjiang Univ Sci & Technol, Coll Sci, Harbin 150022, Heilongjiang, Peoples R China

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2022年 / 41卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Generalized diffusive Maginu model; Turing instability; Hopf bifurcating periodic solution;

D O I：

10.1007/s40314-022-01992-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this text, we study a generalized diffusive Maginu model of morphogenesis. Of our particular interest, we consider the Turing instability of the periodic solutions bifurcating from the unique positive constant equilibrium solution. We derive exact conditions on the diffusion coefficients so that under these conditions, the periodic solutions can undergo Turing instability. Once Turing instability of the periodic solutions occurs, new irregular patterns of the system emerge. We then present some numerical simulations to support the analytical analysis.

引用

页数：16

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