Travelling Waves of a Diffusive Epidemic Model with Latency and Relapse. (3rd April 2013)

• Record Type: Journal Article
• Authors: Wang, Zhiping; Xu, Rui
• Other Names: Jin Zhen Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2013(2013)
• Publication Date: 2013-04-03
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2013/869603
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : An SEIR epidemic model with relapse and spatial diffusion is studied. By analyzing the corresponding characteristic equations, the local stability of each of the feasible steady states to this model is discussed. The existence of a travelling wave solution is established by using the technique of upper and lower solutions and Schauder's fixed point theorem. Numerical simulations are carried out to illustrate the main results.