Document Detail


Vaccination based control of infections in SIRS models with reinfection: special reference to pertussis.
MedLine Citation:
PMID:  22948407     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
The aim of this paper is to study the impact of introducing a partially protective vaccine on the dynamics of infection in SIRS models where primary and secondary infections are distinguished. We investigate whether a public health strategy based solely on vaccinating a proportion of newborns can lead to an effective control of the disease. In addition to carrying out the qualitative analysis, the findings are further explained by numerical simulations. The model exhibits backward bifurcation for certain values of the parameters. In these cases the standard basic reproduction number (obtained by inspection of the uninfected state) is not significant. The key threshold is the reinfection level which depends on the relative transmissibility (susceptibility) of secondary, with respect to primary, infected (susceptible) individuals and the relative loss of immunity of vaccinated, with respect to recovered, individuals. If one or all of these ratios decrease, then the threshold increases which increases the possibility to contain the infection by vaccination. The analysis shows further that symptomatic infections can be eliminated by vaccination solely.
Authors:
Muntaser Safan; Mirjam Kretzschmar; Karl P Hadeler
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Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2012-9-5
Journal Detail:
Title:  Journal of mathematical biology     Volume:  -     ISSN:  1432-1416     ISO Abbreviation:  J Math Biol     Publication Date:  2012 Sep 
Date Detail:
Created Date:  2012-9-5     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  7502105     Medline TA:  J Math Biol     Country:  -    
Other Details:
Languages:  ENG     Pagination:  -     Citation Subset:  -    
Affiliation:
Mathematics Department, Faculty of Science, Mansoura University, 35516 , Mansoura, Egypt, muntaser_safan@yahoo.com.
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