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Traveling waves for a diffusive SEIR epidemic model with non-local reaction.
- Source :
-
Applied Mathematical Modelling . Oct2017, Vol. 50, p432-449. 18p. - Publication Year :
- 2017
-
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 S − ∞ β / 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0307904X
- Volume :
- 50
- Database :
- Academic Search Index
- Journal :
- Applied Mathematical Modelling
- Publication Type :
- Academic Journal
- Accession number :
- 124777060
- Full Text :
- https://doi.org/10.1016/j.apm.2017.05.040