Browsing by Author "Ayoade, A. A."

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    On the stability analysis of infectious model with therapy
    (Journal of the Nigerian Association of Mathematical Physics 32, 221 – 228. Published by the Nigerian Association of Mathematical Physics, 2015) Ayoade, A. A.; Ibrahim, M. O.; Edogbanya, H. O; Odetunde, O.; Akinyemi, S. T
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    Reproduction number of vertical transmission of measles model.
    (Journal of Mathematical Sciences, published by National Mathematical Centre, Abuja, 2015) Odetunde, Opeyemi; Ibrahim, Mohammed O.; Ayoade, A. A.; Abubakar, Jos U.
    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