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...
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Published in | Journal of the Franklin Institute Vol. 349; no. 3; pp. 770 - 791 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Kidlington
Elsevier Ltd
01.04.2012
Elsevier |
Subjects | |
Online Access | Get full text |
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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. |
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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 |