On a Two-Sex Model for Gonorrhea Transmission Dynamics Incorporating Treatment and Condom Use

Abstract

In  this study we  developed a two sex model for gonorrhea transmission dynamics incorporating treatment and condom use as control measures using a system of ordinary differential equations. We further derive an epidemic threshold as the effective reproduction number,  using the next generation method. We established both the disease-free equilibrium and endemic equilibrium states using the linearization method and the manifold theory respectively. From the analysis of the model and results, it was shown that, the disease free equilibrium state is locally and asymptotically stable if  The implication is that gonorrhea can be eliminated fro the population if the effective reproduction number, is less than unity. The endemic equilibrium state is locally and asymptotically stable for  and this implies that gonorrhea disease can spread and there could disease persistence.

Key words: Gonorrhea disease, effective reproduction number, equilibrium state, centre manifold theory