(R2022) Mathematical Modelling of Tuberculosis and COVID-19 Co-infection in India: A Real Data Analysis on Concomitant Diseases

Authors

Vijai Shanker Verma, Deen Dayal Upadhyaya Gorakhpur University
Harshita Kaushik, Deen Dayal Upadhyaya Gorakhpur University
Archana Singh Bhadauria, Deen Dayal Upadhyaya Gorakhpur University

Abstract

In this paper, we have proposed an epidemiological model to study the dynamics of two concomitant diseases Tuberculosis (TB) and COVID-19. Here, we have formulated a deterministic compartmental model as an extended form of the classical SIS model. First, the basic reproduction number R₀ is derived and then stability analysis of the model is done. It is observed that the disease-free equilibrium is stable when R₀ is less than one and the endemic equilibrium is stable only when R₀ is greater than one. Numerical simulation is carried out to illustrate the theoretical findings and to study the transmission dynamics of both the concomitant diseases during the first and second waves of COVID-19 in India.

Recommended Citation

Verma, Vijai Shanker; Kaushik, Harshita; and Bhadauria, Archana Singh (2022). (R2022) Mathematical Modelling of Tuberculosis and COVID-19 Co-infection in India: A Real Data Analysis on Concomitant Diseases, Applications and Applied Mathematics: An International Journal (AAM), Vol. 18, Iss. 1, Article 9.
Available at: https://digitalcommons.pvamu.edu/aam/vol18/iss1/9