The Analysis of Stability and Bifurcations for a Tuberculosis Model

被引：0
|
作者：
Yi, Na [1 ]
Liu, Peng [2 ]
机构：
[1] Liaoning Shihua Univ, Sch Sci, Fushun 113001, Peoples R China
[2] Shenyang Univ Technol, Sch Management, Shenyang 110870, Liaoning, Peoples R China
来源：
2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6 | 2011年
基金：
中国国家自然科学基金;
关键词：
Epidemic model; Tuberculosis; Stability; Bifurcations;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper deals with the dynamic behaviors of a tuberculosis (TB) model with disease-related death rate. The stability of the system is discussed by stability theory. The conditions of existence for transcritical bifurcation and Saddle-Node bifurcation are derived by using bifurcation theory. Finally, the numerical verifications of analytic results are done.
引用
收藏
页码：2104 / +
页数：2
相关论文
共 50 条
  • [21] Analysis of stability and bifurcations of fixed points and periodic solutions of a lumped model of neocortex with two delays
    Visser, Sid
    Meijer, Hil G. E.
    van Putten, Michel Jam
    van Gils, Stephan A.
    JOURNAL OF MATHEMATICAL NEUROSCIENCE, 2012, 2 (01): : 1 - 24
  • [22] A Study on Hopf Bifurcations for Power System Stability Analysis
    Jazaeri, M.
    Khatibi, M.
    2008 IEEE ELECTRICAL POWER AND ENERGY CONFERENCE, 2008, : 189 - +
  • [23] ANALYSIS OF BIFURCATIONS AND STABILITY PROPERTIES OF MOLECULAR-SYSTEMS
    TANERI, U
    HUSEYIN, K
    YU, P
    DYNAMICS AND STABILITY OF SYSTEMS, 1995, 10 (02): : 149 - 162
  • [24] Stability and bifurcations analysis of submarine during emergency ascent
    Dai, Yu-Liang
    Yu, Ke-Yun
    Shanghai Jiaotong Daxue Xuebao/Journal of Shanghai Jiaotong University, 2010, 44 (10): : 1400 - 1404
  • [25] Stability and bifurcations analysis of rotating shafts with base excitations
    Asgarisabet, Mahsa
    Ghazavi, Mohammad Reza
    Shahgholi, Majid
    NONLINEAR DYNAMICS, 2014, 78 (04) : 2847 - 2859
  • [26] Stability and bifurcations analysis of rotating shafts with base excitations
    Mahsa Asgarisabet
    Mohammad Reza Ghazavi
    Majid Shahgholi
    Nonlinear Dynamics, 2014, 78 : 2847 - 2859
  • [27] Stability and bifurcations in an epidemic model with nonlinear transmission and removal rates
    Efrem, Raluca
    Sterpu, Mihaela
    Constantinescu, Dana
    CARPATHIAN JOURNAL OF MATHEMATICS, 2025, 41 (02) : 329 - 349
  • [28] Stability and Hopf Bifurcations of nonlinear delay malaria epidemic model
    Saker, S. H.
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (02) : 784 - 799
  • [29] Stability and bifurcations of equilibria in a delayed Kirschner-Panetta model
    Banerjee, Sandip
    Tsygvintsev, Alexei
    APPLIED MATHEMATICS LETTERS, 2015, 40 : 65 - 71
  • [30] Bifurcations, stability, and monotonicity properties of a delayed neural network model
    Olien, L
    Belair, J
    PHYSICA D, 1997, 102 (3-4): : 349 - 363
12345