Title of article
Stability Analysis of the Endemic Equilibrium State of an Infection Age-Structured HIV/AIDS Disease Pandemic
Author/Authors
ASHEZUA, TT Federal University of Agriculture - Department of Mathematics/Statistics/Computer Science, Nigeria , UDOO, IJM College of Education - School of Sciences - Department of Mathematics, Nigeria , IKPAKYEGH, LN Federal University of Agriculture - Department of Mathematics/Statistics/Computer Science, Nigeria
From page
350
To page
354
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
Journal title
Journal of Applied Sciences and Environmental Management
Journal title
Journal of Applied Sciences and Environmental Management
Record number
2659117
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