Table 1 Parameter description.
Parameters | Description | Values | Sources |
|---|---|---|---|
\(\Lambda\) | Annual birth rate | \(1.623e+07\) | |
d | Natural death rate | 0.0067 | |
\(m_{1}\) | Mortality rate of younger age group | 0.0017 | |
\(m_{2}\) | Mortality rate of middle age group | 0.0023 | |
\(m_{3}\) | Mortality rate of senior age group | 0.0367 | |
r | Recovery rate | 0.496 | |
\(\beta\) | Fraction of fast developing infection | 0.05 | |
\(\nu\) | Re-activation rate of latent TB | 6 | |
\(\gamma _{1}\) | Infection rate in younger age group | \(1.182e-10\) | Fitted |
\(\gamma _{2}\) | Infection rate in middle age group | \(5.265e-09\) | Fitted |
\(\gamma _{3}\) | Infection rate of senior age group | \(2.575e-09\) | Fitted |
\(d_{1}\) | Rate of conversion from the susceptible children | 0.0729 | Fitted |
to middle aged category | |||
\(d_{2}\) | Rate of conversion from the susceptible middle | 0.00618 | Fitted |
aged to older group | |||
\(\varphi\) | Fractional order | 0.93 | Fitted |
\(\mu\) | Disease induced death rate | 0.0025 | |
\(\psi\) | Annual recovery increment due to Directly Observed | 0.51 | |
Treatment, Short-course (DOTS) | |||
\(\phi\) | Immunity rate of the Bacillus Calmette | 0.9 | |
Guerin (BCG) vaccine | |||
\(\eta\) | Re-infection rate among successfully treated TB cases | 0.00341 |
