Mathematical model of tuberculosis considering observed treatment and vaccination interventions

被引：5

作者：

Simorangkir, G. ^{[1
]}

Aldila, D. ^{[1
]}

Rizka, A. ^{[1
]}

Tasman, H. ^{[1
]}

Nugraha, E. S. ^{[2
]}

机构：

[1] Univ Indonesia, Dept Math, Depok 16424, Indonesia

[2] President Univ, Sch Business, Dept Actuarial Sci, Cikarang 17550, Indonesia

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2021年 / 24卷 / 06期

关键词：

Vaccination; Observed treatment; Basic reproduction number; Forward bifurcation; Sensitivity analysis; COVID-19 ERADICATION PROGRAM; DISEASE; TB;

D O I：

10.1080/09720502.2021.1958515

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, a mathematical model of tuberculosis (TB) spread is constructed, considering vaccination and observed treatment. Slow-fast infection and treatment failures are also considered in the model. Mathematical analysis show that the TB-free equilibrium is locally stable if the basic reproduction number is smaller than unity, and it becomes unstable when this number exceeds unity. Furthermore, the TB endemic equilibrium exists only (and uniquely) if the basic reproduction number is larger than unity. Our results show that even though the basic reproduction number is more sensitive to vaccination than observed treatment interventions, both interventions exhibit potential for controlling the spread of TB in the population.

引用

页码：1717 / 1737

页数：21

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