Mathematical Modeling Of Tuberculosis Dynamics With Hygiene Consciousness As A Control Strategy

ABSTRACT Tuberculosis, an air-borne infectious disease, remains a major threat to public health in Kenya. In this study we derived a system of non-linear ordinary differential equations from SLICR mathematical model of TB to study the effects of hygiene consciousness as a control strategy against TB in Kenya. The effective basic reproduction number (R0) of the model was determined by the next generation matrix approach. We established and analysed the equilibrium points. Using the Routh-Hurwitz criterion for local stability analysis and comparison theorem for global stability analysis, the di…