Theory and Modern Applications
From: Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative
Population/parameter | Description |
---|---|
N = 500 | Total population |
\(\mathbf{N}_{1}=90\) | Immunized population |
\(\mathbf{N}_{2}=400\) | Susceptible population |
\(\mathbf{N}_{3}=100\) | Latently infected population |
\(\mathbf{N}_{4}=50\) | Infected population |
\(\mathbf{N}_{5}=10\) | Recovered population |
ρ = 1 | Recruitment constant |
θ = 0.065 | Proportion immunized at birth |
α = 0.0256 | Rate of weaning off the vaccine |
μ = 0.021 | Natural death rate |
β = 0.09091 | Tuberculosis contraction rate |
σ = 0.0342 | Successful cure of infectious latent |
τ = 0.0124 | Rate of latent TB into infectious TB |
γ = 0.016709 | Successful cure of infectious TB patients |
δ = 0.030 | Death resulting from TB infection |