A Comparative Analysis of Four Deterministic Compartmental Mathematical Models for Controlling the Spread of Tuberculosis in Nigeria

Abstract

In this research, we carried out a comparative analysis of four published deterministic mathematical models for controlling the spread of tuberculosis in Nigeria. Our models were: Model One (A Deterministic Compartmental Model of Tuberculosis Control Strategy Adopted by the National Tuberculosis and Leprosy Control Programme in Nigeria), Model Two (Preventing Mother to Child transmission of Tuberculosis Using Bacillus Calmatte - Guerine Vaccine: A Deterministic Modelling Approach.) , Model Three (A Mathematical Model of Effect of Bacillus Calmette-Guerin Vaccine and Isoniazid Preventive Therapy in Controlling the spread of Tuberculosis in Nigeria) and Model Four (Modelling the Effect of Anti-retroviral Therapy and Latent Tuberculosis Treatment in Controlling the Spread of Tuberculosis in Nigeria.). The four models described by systems of ordinary differential equations were converted in to difference equations using Euler’s Numerical method. The resulting difference equations were coded using visual basic programming language into software which produced the required results in graphical forms. Model three turned out to be the best model out of the four models to be adopted in order to ensure that Tuberculosis be completely eradicated from Nigeria within the next one and halve decades.