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.
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