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Browsing Department of Mathematics by Author "Ademiluyi, R.A."
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Item Open Access Age-Structured Transmission Dynamics Model for Vertical and Horizontal Transmission of HIV/AIDS(Department of Mathematics, Nasarawa State University Keffi, 2008-01-06) Umar, Mallam Abdulkarim; Olowofeso, E.O.; Ademiluyi, R.A.Transmission dynamics model for -HlV/AlDS, along the line of Mckendrick-Forester age-structured model is proposed with the natural mortality rate and the fertility functions assumed to bE age depended, similar, to Doma, Gurlin-MacCnmy definitions. The solution^ to the governing equations are obtained and the steady stales are examined for their local stability. The model is further extended to study the case of constant mortality . rate and an exponential type of interaction function. It is observed that the endemic steady'.exist, and. .. asymptotically stable.Item Open Access Modeling Horizontal Transmission of HIV/AIDS in an Age-Structured Population(Department of Mathematics, Nasarawa State University Keffi, 2008-01-08) Umar, M.A.; Olowofeso, E.O.; Ademiluyi, R.A.