MATHEMATICAL MODEL ANDSTABILITY ANALYSIS FOR GONORRHEA TRANSMISSION DYNAMICS

¹Fatima Sulayman and ²Bako, D.U.

¹Department of Mathematical Sciences, Faculty of Natural Science,

Ibrahim Badamasi Babangida University Lapai, Nigeria

²Department of Mathematics, Federal University of Technology Minna, Nigeria

Email: s.fatima@ibbu.edu.ng,deborah.bako@futminna.edu.ng

ABSTRACT

In this study we, developed and analysed a deterministic model for the transmission dynamics and control of Gonorrhea. Three nonlinear ordinary differential equations were used to describe this spread. The equilibrium points of the model are found and their stabilities are investigated. The basic reproduction number  was also calculated. The model exhibits two equilibria namely the disease free equilibrium in which all infected compartments are zero and the endemic equilibrium in which all the compartments are greater than zero. It was found that for, the Disease Free Equilibrium is locally asymptotically stable and unstable if otherwise.

Keywords: Stability, Disease Free Equilibrium, Gonorrhea,Basic reproduction number.