Abstract:
This project presents a model of Tuberculosis transmission with reccurent infection and
vaccination. The mathematical model on dynamics
of Mycobacterium Tuberculosis was
discussed to assess the impact
of vaccination. The non-endemic equilibrium point, the
basic reproduction number and the vaccination reproduction number are analyzed. The
results
of the analysis showed that, the disease free equilibrium which is locally
asymptotically stable for
Ro< 1 and the endemic equilibrium that is locally asymptotically
stable for R
> 1. At the end the numerical computation was done and it shows that the
presence
of vaccination is capable to reduce fast the number of latent (exposed) and
infectious populations in non-endemic time and increase the number
of recovered
population in endemic time and non-endemic time.
