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Mathematical Analysis and Simulation of an Age-Structured Model of Two-Patch for Tuberculosis (TB)
Department of Mathematics and Computer Science, Abdou Moumouni University, Niamey, Niger
Department of Mathematics and Computer Science, Abdou Moumouni University, Niamey, Niger
- 1 Department of Mathematics and Computer Science, Abdou Moumouni University, Niamey, Niger
- 2 Department of Mathematics and Computer Science, Abdou Moumouni University, Niamey, Niger
Applied Mathematics·Volume 07 (2016)·Pages 1882–1902·Published 12 September 2016·DOI10.4236/am.2016.715155
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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.
KeywordsAge-StructuredReproductive NumberTwo-PatchTBStabilitySimulation
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