Theory and Modern Applications
Table 1 The definition of the parameters in system ( 1.4 )
From: Global dynamics of a tuberculosis transmission model with age of infection and incomplete treatment
Parameters | Description |
|---|---|
A | The recruitment rate of individuals into the community by birth or immigration |
μ | Per capita natural death rate of the population |
θ | The duration for which individuals have been in the latent compartment |
a | Age of infection, i.e., the time that has lapsed since the individual became infectious |
\(\mu_{1}(a)\) | The rate at which individuals are removed from the infectious compartment |
β(a) | The transmission rate of the infectious individuals at age of infection a |
γ(a) | The rate that an infectious individual with age of infection a recovers from the disease |
ν(θ) | The rate at which individuals who have been in the exposed compartment for duration θ, progress to the infectious compartment |
δ | The rate at which a treated individual leaves the treated compartment |
p | The proportion of the newly infected to develop tuberculosis directly |
1 − p | The proportion of the newly infected to enter the latent class |
\(\mu_{2}\) | The death rate of the treated individuals |