A Mathematical Study of a TB Model with Treatment Interruptions and Two Latent Periods-Reference-Cited by-同舟云学术

A Mathematical Study of a TB Model with Treatment Interruptions and Two Latent Periods

Published:2014 Issue: Volume:2014 Page:1-15
ISSN:1748-670X
Container-title:Computational and Mathematical Methods in Medicine
language:en
Short-container-title:Computational and Mathematical Methods in Medicine

Author:

Liu Luju¹,Wang Yan²

Affiliation:

1. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China

2. College of Science, China University of Petroleum, Qingdao, Shandong 266580, China

Abstract

A TB transmission model which incorporates treatment interruptions and two latent periods is presented. The threshold parameter known as the control reproduction number and the equilibria for the model are determined, and the global asymptotical stabilities of the equilibria are studied by constructing the proper Lyapunov functions. The reproduction numbers and numerical simulations show that treatment of active TB cases always helps to control the TB epidemic, while treatment interruptions may have a negative, positive, or no effect on combating TB epidemic.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,Modelling and Simulation,General Medicine

Link

http://downloads.hindawi.com/journals/cmmm/2014/932186.pdf

Reference16 articles.

1. Treatment interruptions and duration associated with default among new patients with tuberculosis in six regions of Russia

2. Effects of pay-for-performance system on tuberculosis default cases control and treatment in Taiwan

3. Therapy for recurrent malignant glioma in adults

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