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

被引：10
|
作者：
Liu, Luju [1 ]
Wang, Yan [2 ]
机构：
[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China
[2] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China
来源：
COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE | 2014年 / 2014卷
关键词：
TUBERCULOSIS MODEL; STRATEGY;
D O I：
10.1155/2014/932186
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
引用
收藏
页数：15
相关论文
共 50 条
  • [1] Analysis of a TB model with treatment interruptions
    Liu, Luju
    Wang, Yan
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (04): : 1549 - 1563
  • [2] Optimal Treatment Interruptions Control of TB Transmission Model
    Nainggolan, Jonner
    Suparwati, Titik
    Kawuwung, Westy B.
    [J]. SYMPOSIUM ON BIOMATHEMATICS (SYMOMATH) 2017, 2018, 1937
  • [3] A TB Model with Infectivity in Latent Period and Imperfect Treatment
    Wang, Juan
    Gao, Sha-Sha
    Li, Xue-Zhi
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
  • [4] Hopf bifurcation of a delayed worm model with two latent periods
    Juan Liu
    Zizhen Zhang
    [J]. Advances in Difference Equations, 2019
  • [5] GLOBAL STABILITY IN A TUBERCULOSIS MODEL INCORPORATING TWO LATENT PERIODS
    Liu, Luju
    [J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2009, 2 (03) : 357 - 362
  • [6] Hopf bifurcation of a delayed worm model with two latent periods
    Liu, Juan
    Zhang, Zizhen
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [7] A TWO-STRAIN TB MODEL WITH MULTIPLE LATENT STAGES
    Jabbari, Azizeh
    Castillo-Chavez, Carlos
    Nazari, Fereshteh
    Song, Baojun
    Kheiri, Hossein
    [J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2016, 13 (04) : 741 - 785
  • [8] On the role of variable latent periods in mathematical models for tuberculosis
    Feng Z.
    Huang W.
    Castillo-Chavez C.
    [J]. Journal of Dynamics and Differential Equations, 2001, 13 (2) : 425 - 452
  • [9] Addressing bedaquiline treatment interruptions in the treatment of drug-resistant TB
    Kambili, C.
    Rossenu, S.
    Hoetelmans, R. M. W.
    Birmingham, E.
    Bakare, N.
    [J]. INTERNATIONAL JOURNAL OF TUBERCULOSIS AND LUNG DISEASE, 2022, 26 (07) : 671 - 677
  • [10] A model for tuberculosis with various latent periods
    Jia, Zhong-wei
    Li, Xiao-wen
    Jin, Zhen
    Feng, Dan
    Cao, Wu-chun
    [J]. SNPD 2007: EIGHTH ACIS INTERNATIONAL CONFERENCE ON SOFTWARE ENGINEERING, ARTIFICIAL INTELLIGENCE, NETWORKING, AND PARALLEL/DISTRIBUTED COMPUTING, VOL 1, PROCEEDINGS, 2007, : 422 - +
12345