The stability of a mathematical model in the presence of a preventive vaccine

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dc.contributor.authorRahman, Kazi Aminur
dc.contributor.authorJannatun, Nayeem
dc.contributor.authorSalek, Mr. Md. Abu
dc.date.accessioned2010-10-10T06:39:41Z
dc.date.available2010-10-10T06:39:41Z
dc.date.issued2008
dc.description.abstractVarious kinds of deterministic models for the spread of infectious disease in populations have been analyzed mathematically and applied to specific diseases. In this paper a deterministic model for the dynamics of an infectious disease in the presence of a preventive vaccine is formulated. The model is a special case of a more general model, which is also applicable to other models of infectious diseases. The three dimensional model which assumes a non-linear incidence rate is analyzed qualitatively to determine the stability of its equilibria. This model is used to investigate the potential impact of the optimal vaccine coverage threshold needed for disease control and eradication
dc.identifier.otherhttps://dspace.bracu.ac.bd/server/api/core/items/0ab7257a-4182-4928-b4d0-bd889716133b
dc.identifier.urihttp://hdl.handle.net/10361/419
dc.language.isoen
dc.publisherBRAC University
dc.sourceBRAC University Institutional Repository
dc.subjectNon-linear incidence
dc.subjectVaccine coverage threshold
dc.subjectInfectious diseases
dc.subjectStability analysis
dc.subjectBasic reproduction number
dc.subjectEndemic equilibrium
dc.titleThe stability of a mathematical model in the presence of a preventive vaccine
dc.typeArticle

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Volume 05, Number 01, 2008