ABSTRACT
Tuberculosis (TB) and COVID-19 are in the list of diseases with high concern for globally public health and with a negative impact on socio economic status. In our research paper, we have proposed an epidemiological compartment model to study the dynamics of two concomitant diseases. A compartment model has been developed as an expanded version of the traditional SIS model with a saturated incidence rate. The equilibrium points are also obtained after characterizing the non-negativity and invariant region of the model. After deriving the fundamental reproduction number https://www.w3.org/1998/Math/MathML"> R 0 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003333500/b244f608-6c8d-4ae5-a534-a2e9d4538e94/content/inline-math2_1.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> , the model's stability is examined. It has been found that the endemic equilibrium is only stable when https://www.w3.org/1998/Math/MathML"> R 0 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003333500/b244f608-6c8d-4ae5-a534-a2e9d4538e94/content/inline-math2_2.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> is more than one and the disease-free equilibrium is stable whenever https://www.w3.org/1998/Math/MathML"> R 0 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003333500/b244f608-6c8d-4ae5-a534-a2e9d4538e94/content/inline-math2_3.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> is less than one. When https://www.w3.org/1998/Math/MathML"> R 0 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003333500/b244f608-6c8d-4ae5-a534-a2e9d4538e94/content/inline-math2_4.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> >1, the Routh-Hurwitz criterion is employed to demonstrate the endemic equilibrium's local stability. Numerical simulation illustrates the theoretical findings and to study the transmission dynamics of both the concomitant diseases during the first and second waves respectively in context of India.
