Modelling effects of treatment at home on tuberculosis transmission dynamics

被引：48
作者：
Huo, Hai-Feng [1 ]
Zou, Ming-Xuan [1 ]
机构：
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2016年 / 40卷 / 21-22期
关键词：
Treatment; Tuberculosis; Equilibrium; Global Stability; GENERAL CONTACT RATE; REPRODUCTION NUMBERS; GLOBAL STABILITY; EPIDEMIC MODEL; REINFECTION; LATENT;
D O I：
10.1016/j.apm.2016.06.029
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A tuberculosis model with two kinds of treatment, that is, treatment at home and treatment in hospital, is constructed. Mathematical analyses show that the dynamics of model are determined by the basic reproduction number R-0. If R-0 < 1, then the disease free equilibrium is globally asymptotically stable. If R-0 > 1, the endemic equilibrium is globally asymptotically stable when patients who are not cured do not transfer from hospital to home. Numerical simulations are also given to support our theoretical results. Our results show that the treatment at home has great negative influence on the spread of the tuberculosis. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：9474 / 9484
页数：11
相关论文
共 21 条
[1]   Global analysis of a dynamical model for transmission of tuberculosis with a general contact rate [J].
Bowong, Samuel ;
Tewa, Jean Jules .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (11) :3621-3631
[2]   Mathematical analysis of a tuberculosis model with differential infectivity [J].
Bowong, Samuel ;
Tewa, Jean Jules .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (11) :4010-4021
[3]   Dynamical models of tuberculosis and their applications [J].
Castillo-Chavez, C ;
Song, BJ .
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2004, 1 (02) :361-404
[4]   A model for tuberculosis with exogenous reinfection [J].
Feng, ZL ;
Castillo-Chavez, C ;
Capurro, AF .
THEORETICAL POPULATION BIOLOGY, 2000, 57 (03) :235-247
[5]   Global stability for an HIV/AIDS epidemic model with different latent stages and treatment [J].
Huo, Hai-Feng ;
Feng, Li-Xiang .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (03) :1480-1489
[6]   Stability of a Two-Strain Tuberculosis Model with General Contact Rate [J].
Huo, Hai-Feng ;
Dang, Shuai-Jun ;
Li, Yu-Ning .
ABSTRACT AND APPLIED ANALYSIS, 2010,
[7]  
Huo HF., 2012, Discr Dynam Nat Soc, V2012, P1
[8]  
LASALLE JP, 1976, REGIONAL C SERIES AP, V25
[9]   Global stability of a SEIR epidemic model with infectious force in latent, infected and immune period [J].
Li, GH ;
Jin, Z .
CHAOS SOLITONS & FRACTALS, 2005, 25 (05) :1177-1184
[10]   Global stability of an epidemic model with latent stage and vaccination [J].
Li, Jianquan ;
Yang, Yali ;
Zhou, Yicang .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) :2163-2173
123