Age-Structured Transmission Dynamics Model for Vertical and Horizontal Transmission of HIV/AIDS

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17.(2008).pdf (1.33 MB)

Date

2008-01-06

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Publisher

Department of Mathematics, Nasarawa State University Keffi

Abstract

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.

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Keywords

Steady slate, I-IIV/AIDS, mortality rale, interaction function, infection rate, AIDS Incubation period, HIV progression rate, 1-I.lV infectious perio

Citation

Umar, M.A. et al. (2008). Age-Structured Transmission Dynamics Model for Vertical and Horizontal Transmission of HIV/AIDS

URI

https://keffi.nsuk.edu.ng/handle/20.500.14448/5763

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