Stability analysis for Selkov-Schnakenberg reaction-diffusion system-Reference-Cited by-同舟云学术

Stability analysis for Selkov-Schnakenberg reaction-diffusion system

Published:2021-01-01 Issue:1 Volume:19 Page:46-62
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Al Noufaey K. S.¹

Affiliation:

1. Department of Mathematics and Statistics, Faculty of Science, Taif University , P.O. Box 11099 , Taif 21944 , Saudi Arabia

Abstract

Abstract This study provides semi-analytical solutions to the Selkov-Schnakenberg reaction-diffusion system. The Galerkin method is applied to approximate the system of partial differential equations by a system of ordinary differential equations. The steady states of the system and the limit cycle solutions are delineated using bifurcation diagram analysis. The influence of the diffusion coefficients as they change, on the system stability is examined. Near the Hopf bifurcation point, the asymptotic analysis is developed for the oscillatory solution. The semi-analytical model solutions agree accurately with the numerical results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0008/pdf

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