Reproduction number of vertical transmission of measles model.
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of Mathematical Sciences, published by National Mathematical Centre, Abuja
Abstract
In this model, we study the reproduction number of measles epidemiology, the rate of vertical transmission of measles and antibodies, including the effect of maternal antibody on the spread of measles to the infant. We exempt the vaccinated class due to the finding of Viera Scheibner [2]. We demonstrate that the disease will die out, if the basic reproductive number R0<1. This is the case of a disease-free state, with no infection in the population. Otherwise the disease may become endemic if the basic reproductive number R0 is bigger than unity. The basic reproduction number at both the disease Free State and the endemic state were obtained and the result shows stability in the effect of mother to child transmission of either disease or immunity
Description
Keywords
Reproduction number R0, Vertical transmission, Maternal antibody, Measles Infectious Disease
Citation
1. Ibrahim, M. O., Odetunde, O., A. A. Ayoade and Jos, A. U. (2015). Reproduction number of vertical transmission of measles model. Journal of Mathematical Sciences 3(1), 587 – 596. Published by the National Mathematical Centre, Abuja