Analysis of an age-dependent SI epidemic model with disease-induced mortality and proportionate mixing assumption: the case of vertically transmitted diseases
El-Doma, M.
J. Appl. Math., Tome 2004 (2004) no. 1, p. 235-254 / Harvested from Project Euclid
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An SI epidemic model for a vertically as well as horizontally transmitted disease is investigated when the fertility, natural mortality, and disease-induced mortality rates depend on age and the force of infection corresponds to a special form of intercohort transmission called proportionate mixing. We determine the steady states and obtain explicitly computable threshold conditions, and then perform stability analysis.
Publié le : 2004-08-02
Classification:  45K05,  45M10,  92D30,  92D25 
@article{1091626401,
     author = {El-Doma, M.},
     title = {Analysis of an age-dependent SI epidemic model with disease-induced mortality and proportionate mixing assumption: the case of vertically transmitted diseases},
     journal = {J. Appl. Math.},
     volume = {2004},
     number = {1},
     year = {2004},
     pages = { 235-254},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1091626401}
}

El-Doma, M. Analysis of an age-dependent SI epidemic model with disease-induced mortality and proportionate mixing assumption: the case of vertically transmitted diseases. J. Appl. Math., Tome 2004 (2004) no. 1, pp.  235-254. http://gdmltest.u-ga.fr/item/1091626401/