TITLE:
Mathematical Analysis and Simulation of an Age-Structured Model of Two-Patch for Tuberculosis (TB)
AUTHORS:
Badjo Kimba Abdoul Wahid, Saley Bisso
KEYWORDS:
Age-Structured, Reproductive Number, Two-Patch, TB, Stability, Simulation
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.15,
September
30,
2016
ABSTRACT: 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.