Mathematical Analysis of Transmission Dynamics of Tuberculosis with Recurrence based on Treatment

被引：0
|
作者：
Singh, Ram [1 ]
Jain, Madhu [2 ]
Ali, Shoket [1 ]
机构：
[1] BGSB Univ, Dept Math Sci, Rajouri 185234, India
[2] Indian Inst Technol, Dept Math, Roorkee 247667, Uttar Pradesh, India
来源：
2016 INTERNATIONAL CONFERENCE ON ELECTRICAL, ELECTRONICS, AND OPTIMIZATION TECHNIQUES (ICEEOT) | 2016年
关键词：
Transmission Dynamic; Reproduction number; stability analysis and Bifurcation; MODEL; IMPACT; SIR;
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, a mathematical model for the transmission dynamic of tuberculosis (TB) with recurrence based on treatment is proposed and analyzed for the stability of infected states. The disease free and endemic equilibrium are locally stable if they are less than unity and unstable if greater than unity. The reproduction number is also derived and used to explore the existence and stability of equilibrium points of the proposed model. It has been shown that the timely treatment to tuberculosis lead to the effective control of TB disease. Further the sensitivity analysis suggests that the efficacy of the treatment has a significant impact in the prevention and controlling of TB disease in the community.
引用
收藏
页码：2990 / 2995
页数：6
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