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
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
