Modeling, analyzing and simulating the dynamics of Tuberculosis-Covid-19 co-infection

Abstract

Covid-19 and tuberculosis (TB) are two significant infectious illnesses that may pose significant threats to the public health and their co-infection aggravates the issue. Through the use of a set of nonlinear ordinary differential equations and contaminated surfaces from SARS-CoV-2 in the environment, we developed and investigated a mathematical model in this study for the dynamics of the co-infection of Covid-19 and TB transmission. The free equilibrium point of the disease was determined and its stability was investigated. The next generation matrix approach is used to determine the model’s basic reproduction number. The disease-free equilibrium point is not globally asymptotically stable, but it is locally asymptotically stable if R0 < L We found key model parameters for disease dynamics spread using normalized forward sensitivity analysis. From the numerical simulation results, we conclude that government stakeholders should work in reducing the transmission mechanisms of both diseases. In addition, they should look on mechanisms for removing SARS-CoV-2 contaminated surfaces from the community.