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Theory and Modern Applications

Table 1 Table of parametric values used for simulations of the problem under consideration

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