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Journal of Applied Sciences and Environmental Management
World Bank assisted National Agricultural Research Project (NARP) - University of Port Harcourt
ISSN: 1119-8362
Vol. 20, No. 2, 2016, pp. 350-354
Bioline Code: ja16042
Full paper language: English
Document type: Research Article
Document available free of charge

Journal of Applied Sciences and Environmental Management, Vol. 20, No. 2, 2016, pp. 350-354

 en Stability Analysis of the Endemic Equilibrium State of an Infection Age-Structured HIV/AIDS Disease Pandemic
ASHEZUA, T.T.; UDOO, I.J.M. & IKPAKYEGH, L.N.

Abstract

In this work we present an infection-age-structured mathematical model of AIDS disease dynamics and examine the endemic equilibrium state for stability. An explicit formula for the basic reproduction number R0 was obtained in terms of the demographic and epidemiological parameters of the model. The endemic equilibrium state was found to be locally asymptotically stable under certain conditions. Furthermore, by constructing a suitable Lyapunov functional, the endemic equilibrium state was found to be globally asymptotically stable under certain conditions prescribed on the model parameters.

Keywords
Basic reproduction number; HIV/AIDS; Lyapunov functional

 
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