2022 Mathematical Modeling and Analysis of TB and COVID-19 Coinfection
Kassahun Getnet Mekonen, Shiferaw Feyissa Balcha, Legesse Lemecha Obsu, Abdulkadir Hassen
J. Appl. Math. 2022: 1-20 (2022). DOI: 10.1155/2022/2449710

Abstract

Tuberculosis (TB) and coronavirus (COVID-19) are both infectious diseases that globally continue affecting millions of people every year. They have similar symptoms such as cough, fever, and difficulty breathing but differ in incubation periods. This paper introduces a mathematical model for the transmission dynamics of TB and COVID-19 coinfection using a system of nonlinear ordinary differential equations. The well-posedness of the proposed coinfection model is then analytically studied by showing properties such as the existence, boundedness, and positivity of the solutions. The stability analysis of the equilibrium points of submodels is also discussed separately after computing the basic reproduction numbers. In each case, the disease-free equilibrium points of the submodels are proved to be both locally and globally stable if the reproduction numbers are less than unity. Besides, the coinfection disease-free equilibrium point is proved to be conditionally stable. The sensitivity and bifurcation analysis are also studied. Different simulation cases were performed to supplement the analytical results.

Acknowledgments

The first author acknowledges Adama Science and Technology University for the financial support under grant number ASTU/SP-R/120/21.

Citation

Kassahun Getnet Mekonen. Shiferaw Feyissa Balcha. Legesse Lemecha Obsu. Abdulkadir Hassen. "Mathematical Modeling and Analysis of TB and COVID-19 Coinfection." J. Appl. Math. 2022 1 - 20, 2022. https://doi.org/10.1155/2022/2449710

Information

Received: 27 September 2021; Accepted: 24 February 2022; Published: 2022
First available in Project Euclid: 28 July 2022

MathSciNet: MR4402884
zbMATH: 1499.92123
Digital Object Identifier: 10.1155/2022/2449710