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

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.