Travelling waves of a diffusive epidemic model with latency and relapse
type: Item
instance of: scholarly article
title: Travelling waves of a diffusive epidemic model with latency and relapse
zbMATH Open document ID: 1264.34167
DOI: 10.1155/2013/869603
author: Zhiping Wang
author: Rui Xu
published in: Discrete Dynamics in Nature and Society
publication date: 2013-06-13T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 6175130
Wikidata QID: Q58921901
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/869603
OpenAlex ID: W2069980045
cites work: Modeling diseases with latency and relapse
cites work: Global dynamics of delay epidemic models with nonlinear incidence rate and relapse
cites work: Spatial spreading of West Nile virus described by traveling waves
cites work: Travelling wave solutions in delayed reaction diffusion systems with partial monotonicity
description: scientific article; zbMATH DE number 6175130