Mathematical analysis of a model for Human Immunodeficiency Virus (HIV) endemicity

Abstract

The objective of this paper is to present a mathematical model formulated to investigate the dynamics of human immunodeficiency virus (HIV). The disease free equilibrium of the model was found to be locally and globally asymptotically stable. The endemic equilibrium point exists and it was discovered that the endemic equilibrium point is globally asymptotically stable; suggestion was also made in the research in regards to protection during sexual intercourse especially in a sexually active population.

Keywords: Analysis, Equilibrium, Stability, Endemicity, Mathematical Model