Author(s)

Badjo Kimba Abdoul Wahid, Saley Bisso

Department of Mathematics and Computer Science, Abdou Moumouni University, Niamey, Niger.

This paper studied a structured model by age of tuberculosis. A population divided into two parts was considered for the study. Each subpopulation is submitted to a program of vaccination. It was allowed the migration of vaccinated people only between the two patches. After the determination of  and  , the local and global stability of the disease-free equilibrium was studied. It showed the existence of three endemic equilibrium points. The theoretical results were illustrated by a numeric simulation.

Age-Structured, Reproductive Number, Two-Patch, TB, Stability, Simulation

Abdoul Wahid, B. and Bisso, S. (2016) Mathematical Analysis and Simulation of an Age-Structured Model of Two-Patch for Tuberculosis (TB). Applied Mathematics, 7, 1882-1902. doi: 10.4236/am.2016.715155.