A mathematical model for the effects of drug abuse in transmission of Hiv/aids in Turkana county.

Abstract

Drugs and substance misuse has been recognized to have a significant impact on the spread of HIV/AIDS epidemic. We formulate a deterministic model to assess the contribution of drug and substance abuse to the spread of HIV/AIDS disease among adults in Turkana County, Kenya. The basic reproduction number of the model is determined and stability of equilibria analyzed. The disease free equilibrium point is shown to be globally asymptotically stable when its corresponding basic reproduction number is less than unity. The Lyapunov theorem is used to show that the endemic equilibrium point is Globally asymptotically stable when its corresponding reproduction number is greater than unity.