Journal Article

Stability analysis of a general age-dependent vaccination model for a vertically transmitted disease under the proportionate mixing assumption

M. EL-DOMA

in Mathematical Medicine and Biology: A Journal of the IMA

Published on behalf of Institute of Mathematics and its Applications

Volume 17, issue 2, pages 119-136
Published in print January 2000 | ISSN: 1477-8599
Published online January 2000 | e-ISSN: 1477-8602 | DOI: http://dx.doi.org/10.1093/imammb/17.2.119
Stability analysis of a general age-dependent vaccination model for a vertically transmitted disease under the proportionate mixing assumption

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An SIR epidemic model of a general age-dependent vaccination of a vertically as well as horizontally transmitted disease is investigated when the total population is in steady state. We assume proportionate mixing and age-dependent fertility, mortality and removal rates. We determine the steady states and examine their stabilities.

Keywords: Vertical transmission; horizontal transmission; age-structure; epidemic; stability

Journal Article.  0 words. 

Subjects: Applied Mathematics ; Biomathematics and Statistics

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