Research Article

A Multiregion Discrete-Time Epidemic Model of Mycobacterium tuberculosis Infections: An Optimal Control Approach

Table 1

Parameter values.

SymbolDescriptionValueSource

DNatural death rate1/76.45[30]
Rate at which individuals leave [12]
Proportion of individuals going to compartment I0.05[33]
Rate of endogenous reactivation for persistent latent infections[36]
Rate of endogenous reactivation for treated individuals[12]
Factor reducing the risk of infection as a result of acquired immunity to a previous infection for persistent latent individuals0.25[12]
Factor reducing the risk of infection as a result of acquired immunity to a previous infection for treated individuals0.25[12]
Rate of recovery under treatment of active TB[12]
Rate of recovery of early latent individuals under postexposure interventions[12]
Rate of recovery of persistent latent individuals under postexposure interventions[12]
NTotal population10000; 20000; 30000Estimated
TTotal simulation durationā€‰