Traveling waves for a diffusive SEIR epidemic model with non-local reaction and with standard incidences. (October 2017)

• Record Type: Journal Article
• Authors: Tian, Baochuan; Yuan, Rong
• Is Part Of: Nonlinear analysis. Volume 37(2017)
• Page Start: 162
• Page End: 181
• Publication Date: 2017-10
• Subjects: Traveling waves -- Diffusive SEIR model -- Non-local reaction -- Schauder fixed point theorem; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2017.02.007
• Languages: English
• ISSNs: 1468-1218

Abstract

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 minimal speed c ∗ and basic reproduction rate β / γ . 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.