Mathematical modeling of fractional reaction-diffusion systems with different order time derivatives

B. Y. Datsko, V. V. Gafiychuk


The linear stability analysis is studied for a two-component fractional reaction-diffusion system with different derivative indices. Two different cases are considered when an activator index is larger than an inhibitor one and when an inhibitor variable index is larger than an activator one. General analysis is confirmed by computer simulation of the system with cubic nonlinearity. It is shown that the systems with a higher activator variable index lead to a much more complicated spatio-temporal dynamics.


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