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

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...

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Bibliographic Details
Published in:Computational & applied mathematics 2022-09, Vol.41 (6), Article 290
Main Authors: Ju, Xiaowei, Yang, Yu
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied physics
Computational mathematics
Computational Mathematics and Numerical Analysis
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematical models
Mathematics
Mathematics and Statistics
Stability
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Summary: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.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-022-01992-2