Work

Diffusion induced homogeneity breaking instability of the solutions in a reaction-diffusion Sporns-Seelig system

Year: 2024

Type: article

Abstract: One of the key concerns in the computational biology is to declare the underlying mechanisms involved in the spatiotemporal pattern formations. In this paper, we mainly focus on the existence, stability/instability and the diffusion induced homogeneity breaking instability of both the positive constant equilibrium solution and the Hopf bifurcating spatially homogeneous periodic solutions. The onset of the instabilities of above two kinds of solutions will bring out the emergence of the spatiotemporal patterns. Our findings facilitate a more clearer comprehension of the mechanisms underlying the pattern formations in this specific chemical reaction model.

Source: Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2024.128830

Authors: Pu Wang, Yanbin Gao

Institution: Harbin Engineering University

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,100

Funder: National Natural Science Foundation of China