Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5470697 | Applied Mathematical Modelling | 2017 | 27 Pages |
Abstract
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 basic reproduction rate Sââβ/γ and the minimal speed. We use the Schauder fixed point theorem and the Laplace transform to get the existence and non-existence of traveling waves in our paper. We also give some numerical results of the minimal wave speed.
Related Topics
Physical Sciences and Engineering
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Computational Mechanics
Authors
Baochuan Tian, Rong Yuan,