Dynamics of a three-molecule autocatalytic Schnakenberg model with cross-diffusion: Turing patterns of spatially homogeneous Hopf bifurcating periodic solutions

In this paper, a three-molecule autocatalytic Schnakenberg model with cross-diffusion is established, the instability of bifurcating periodic solutions caused by diffusion is studied, that is, diffusion can destabilize the stable periodic solutions of the ordinary differential equation (ODE) system....

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Bibliographic Details

Published in:	Electronic Research Archive
Main Authors:	Weiyu Li, Hongyan Wang
Format:	Article
Language:	English
Published:	AIMS Press 2023-05-01
Subjects:	schnakenberg model cross-diffusion spatially homogeneous periodic solutions turing instability
Online Access:	https://www.aimspress.com/article/doi/10.3934/era.2023211?viewType=HTML