Mathematical Model of Tuberculosis Transmission in A Two-Strain with Vaccination

被引：1
|
作者：
Nainggolan, J. [1 ]
Supian, S. [1 ]
Supriatna, A. K. [1 ]
Anggriani, N. [1 ]
机构：
[1] Univ Padjadjaran, Dept Math, Jatinangor, Indonesia
来源：
SYMPOSIUM ON BIOMATHEMATICS (SYMOMATH 2013) | 2014年 / 1587卷
关键词：
Tuberculosis model; vaccination; drug resistant; stability; the vaccination reproduction ratio;
D O I：
10.1063/1.4866536
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper deals with the mathematical analysis of the spread of tuberculosis with vaccination in a two-strain model. The vaccination reproduction ratio (R-rs.) and equilibria quantities for the models are determined and stability of the solution is analyzed. We prove that if the vaccination reproduction ratio R-rs < 1 the disease free equilibrium is locally and asymptotically stable on the nonnegative Pliant and if R-rs > I of the other equilibria is locally and asymptotically stable. At the end of this study, the numerical computation presented and it shows that vaccination and treatment capable to reduce the number of exposed and infected compartments.
引用
收藏
页码：70 / 73
页数：4
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