We have investigated Turing pattern formation through linear stability analysis and numerical simulations in a two-species reaction–diffusion system in which a fractional order temporal derivative operates on both species, and on both the diffusion term and the reaction term. The order of the fractional derivative affects the time onset of patterning in this model system but it does not affect ...

<p style='text-indent:20px;'>We investigate the formation of stationary patterns in FitzHugh-Nagumo reaction-diffusion system with linear cross-diffusion terms. We focus our analysis on effects Turing mechanism. Linear stability indicates that positive values inhibitor enlarge region parameter space where a instability is excited. A sufficiently large coefficient removes requirement impos...