Hyperbolic Reaction-Diffusion Model for Virus Infections

Abstract

We propose a reaction-diffusion model to study the front propagation of viruses growing in a bacterial colony. From a mesoscopic description we consider that viruses spread according to non-Markovian random walks and thus we obtain a set of hyperbolic reaction-diffusion equations of three components. There is an excellent agreement between our predictions and experimental results. However, this agreement does not exist when random walks are Markovian and the resulting reaction-diffusion equations are of parabolic type.

Keywords

• reaction-diffusion, front propagation, time-delay

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