Traveling waves for a diffusive SEIR epidemic model with non-local reaction and with standard incidences. (English) Zbl 1373.35074
Summary: This paper is devoted to the existence of the traveling waves of the equations describing a diffusive SEIR model with non-local reaction between the infected and the susceptible. The existence of traveling waves depends on the minimal speed \(c^\ast\) and basic reproduction rate \(\beta/\gamma\). We use the Laplace transform and the Schauder fixed point theorem to get the existence and non-existence of traveling waves in our paper. We also give some numerical results of the minimal wave speed.
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