Global results for a cholera model with imperfect vaccination

In this paper, we consider a cholera model with imperfect vaccination. We can calculate the infection threshold (i.e., the basic reproduction number Rv) for the cholera model. The disease-free equilibrium of the system is globally asymptotically stable when Rv≤1. If Rv>1, the disease persists and...

Full description

Saved in:
Bibliographic Details
Published inJournal of the Franklin Institute Vol. 349; no. 3; pp. 770 - 791
Main Authors Zhou, Xue-yong, Cui, Jing-an, Zhang, Zhong-hua
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.04.2012
Elsevier
Subjects
Biological and medical sciences
Epidemiology
General aspects
Medical sciences
Public health. Hygiene
Public health. Hygiene-occupational medicine
Infection
Asymptotic stability
Disease
Vaccination
Defect
Endemy
Epidemiology
Modeling
Geometrical model
Online AccessGet full text

Cover

More Information
Summary:In this paper, we consider a cholera model with imperfect vaccination. We can calculate the infection threshold (i.e., the basic reproduction number Rv) for the cholera model. The disease-free equilibrium of the system is globally asymptotically stable when Rv≤1. If Rv>1, the disease persists and the unique endemic equilibrium is globally asymptotically stable in the interior of the feasible region under some conditions, which is obtained by compound matrices and geometric approaches. We also perform the effect of vaccination on the disease transmission and prevalence.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0016-0032
1879-2693
DOI:10.1016/j.jfranklin.2011.09.013