Turing bifurcation in nonlinear competition models with delay
Quarterly of Applied Mathematics
Non-Fickian delay reaction--diffusion equations: Theoretical and numerical study
Applied Numerical Mathematics
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In the present paper, a description and mathematical analysis of a simple model of nonlinear pattern formation is given. The model is based on the so-called activator-inhibitor system proposed by Thomas. We introduce time delay into the reaction term and focus on its influence on morphogenesis and pattern formation. Numerical simulations are presented and compared for both cases without and with delay.