On existence of semi-wavefronts for a non-local reaction-diffusion equations with distributed time delay

Abstract

We establish the existence of semi-wavefronts solutions for a non-local delayed reaction-diffusion equation with monostable nonlinearity. The existence result is proved for all speeds c≥ c, where the determination of c is similar to the calculation of the minimal speed of propagation. The results are applied to some non-local reaction-diffusion epidemic and population models with distributed time delay.

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