Traveling waves in a nonlocal dispersal SIR epidemic model. (June 2015)

• Record Type: Journal Article
• Authors: Yang, Fei-Ying; Li, Wan-Tong; Wang, Zhi-Cheng
• Is Part Of: Nonlinear analysis. Volume 23(2015)
• Page Start: 129
• Page End: 147
• Publication Date: 2015-06
• Subjects: SIR model -- Nonlocal dispersal -- Traveling waves -- Schauder's fixed point theorem -- Laplace transform; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2014.12.001
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: This paper is concerned with traveling wave solutions of a nonlocal dispersal SIR epidemic model. The existence and nonexistence of traveling wave solutions are determined by the basic reproduction number and the minimal wave speed. This threshold dynamics are proved by Schauder's fixed point theorem and the Laplace transform. The main difficulties are that the semiflow generated by the model does not have the order-preserving property and the solutions lack of regularity.