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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
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Bioline Code: ja16042
Full paper language: English
Document type: Research Article
Document available free of charge
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Journal of Applied Sciences and Environmental Management, Vol. 20, No. 2, 2016, pp. 350-354
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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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