Stability analysis of the endemic equilibrium state of an infection age-structured HIV/AIDS disease pandemic

  • T.T. Ashezua
  • I.J.M. Udoo
  • L.N. Ikpakyegh
Keywords: Basic reproduction number, HIV/AIDS, Lyapunov functiona

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

Published
2016-07-25
Section
Articles

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print ISSN: 1119-8362