Table 1.

The dependent parameters description of the proposed model.

Parameters	Descriptions
$\pi$	Susceptible people has recruitment rate
${\lambda }_1$	Transmission rate of TB
${\lambda }^T$	Force of infection for TB
$\eta$	Latent level TB infected becoming asymptomatic infected with COVID-19
${\alpha }_1$	TB infected people to become infected
$p_1$	Recovery rate for latent TB infections in $L^{\mathit{TC}}$
$m_1$	Recovery rate for latent TB infections in $I^{\mathit{TC}}$
${\theta }_1$	Infection rate with COVID-19 from TB individuals
${\lambda }_2$	Transmission rate of COVID-19
${\rho }_1$	Rate of recovered from TB infected people
${\nu }_1$	Rate of COVID-19 after recovered from TB infected people
${\beta }_1$	Rate of recovered from TB and COVID-19
${\omega }_1$	Recovery rate of latent TB infected people
$d^T$	Death rate due to TB infectives
${\lambda }^C$	Force of infection for COVID-19
$ϵ$	Rate of asymptomatic infected with COVID-19 to becoming latent TB
${\alpha }_2$	Asymptomatic infected people with COVID-19 to become infected
$p_2$	Recovery rate for COVID-19 infections in $L^{\mathit{TC}}$
$m_2$	Recovery rate for COVID-19 infections in $I^{\mathit{TC}}$
${\theta }_2$	Infection rate with TB from COVID-19
${\rho }_2$	Rate of recovery from COVID-19
${\nu }_2$	Rate of TB after recovery from COVID-19
${\omega }_2$	Rate of recovered from asymptomatic infected with COVID-19
r	Rate of COVID - 19 is reactivation
${\beta }_2$	Rate of recovered from COVID-19 and TB
$d^C$	Death rate due to the COVID-19 infectives
${\alpha }_{12}$	Both diseases latent infected individuals to the co-infection class
$d^{\mathit{TC}}$	Death rate due to the co-infection of both diseases
$\sigma$	Rate at which people leave the co-infection in $L^{\mathit{TC}}$
$\tau$	Rate at which people leave the co-infected in $I^{\mathit{TC}}$
$\mu$	Natural death rate