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Mathematical Analysis and Simulation of an Age-Structured Model of Two-Patch for Tuberculosis (TB)

Mathematical Analysis and Simulation of an Age-Structured Model of Two-Patch for Tuberculosis (TB)
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摘要 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. 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.
作者 Badjo Kimba Abdoul Wahid Saley Bisso Badjo Kimba Abdoul Wahid;Saley Bisso(Department of Mathematics and Computer Science, Abdou Moumouni University, Niamey, Niger)
出处 《Applied Mathematics》 2016年第15期1882-1902,共22页 应用数学(英文)
关键词 Age-Structured Reproductive Number Two-Patch TB STABILITY Simulation Age-Structured Reproductive Number Two-Patch TB Stability Simulation
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