Numerical simulation of pattern and chaos dynamic behaviour in the fractional-order-in-time Lengyel-Epstein reaction-diffusion system

International Journal of Computer Mathematics 2026

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Authors: Hao Lu Zhang, Zhi Yuan Li, Xiao Yu Li
DOI: 10.1080/00207160.2025.2612196
Cited by: 3
References: 33

Abstract

This paper develops a numerical method to study the patterns and chaos dynamic behaviour of the fractional-order-in-time Lengyel-Epstein reaction-diffusion system (LERDS). We combine theoretical analysis with numerical simulation to conduct stability, Turing bifurcation, and critical wave number for the fractional-order-in-time LERDS. The numerical results show some chaos and patterns.

Fields of Study & Subjects

Fractional Differential Equations Solutions Chaos control and synchronization Mathematical and Theoretical Epidemiology and Ecology Models

Publication details

Journal / source
International Journal of Computer Mathematics
Publisher
Informa UK Limited
Volume
103
Issue
6
Pages
1308–1328
Publication date
11 January 2026
Language
EN