Progression age enhanced backward bifurcation in an epidemic model with super-infection

被引：137
作者：
Martcheva, M
Thieme, HR
机构：
[1] Polytech Univ, Dept Math, Brooklyn, NY 11201 USA
[2] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA
来源：
JOURNAL OF MATHEMATICAL BIOLOGY | 2003年 / 46卷 / 05期
关键词：
backward bifurcation; multiple endemic equilibria; alternating stability; break-point density; super-infection; dose-dependent latent period; progressive and quiescent latent stages; progression age structure; threshold type disease activation; operator semigroups; Hille-Yosida operators; dynamical systems; persistence; global compact attractor;
D O I：
10.1007/s00285-002-0181-7
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We consider a model for a disease with a progressing and a quiescent exposed class and variable susceptibility to super-infection. The model exhibits backward bifurcations under certain conditions, which allow for both stable and unstable endemic states when the basic reproduction number is smaller than one.
引用
收藏
页码：385 / 424
页数：40
相关论文
共 45 条
  • [31] Mathematical model and backward bifurcation analysis of pneumonia infection with intervention measures
    Teklu, Shewafera Wondimagegnhu
    Kotola, Belela Samuel
    [J]. RESEARCH IN MATHEMATICS, 2024, 11 (01):
  • [32] Backward bifurcation, equilibrium and stability phenomena in a three-stage extended BRSV epidemic model
    David Greenhalgh
    Martin Griffiths
    [J]. Journal of Mathematical Biology, 2009, 59 : 1 - 36
  • [33] Backward bifurcation, equilibrium and stability phenomena in a three-stage extended BRSV epidemic model
    Greenhalgh, David
    Griffiths, Martin
    [J]. JOURNAL OF MATHEMATICAL BIOLOGY, 2009, 59 (01) : 1 - 36
  • [34] Backward bifurcation in a fractional-order and two-patch model of tuberculosis epidemic with incomplete treatment
    Jafari, Mohsen
    Kheiri, Hossein
    Jabbari, Azizeh
    [J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021, 14 (02)
  • [35] Backward bifurcation and stability analysis of a network-based SIS epidemic model with saturated treatment function
    Huang, Yi-Jie
    Li, Chun-Hsien
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 527
  • [36] The backward bifurcation of an age-structured cholera transmission model with saturation incidence br
    Liu, Zhiping
    Jin, Zhen
    Yang, Junyuan
    Zhang, Juan
    [J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2022, 19 (12) : 12427 - 12447
  • [37] HOPF BIFURCATION OF AN AGE-STRUCTURED VIRUS INFECTION MODEL
    Mohebbi, Hossein
    Aminataei, Azim
    Browne, Cameron J.
    Razvan, Mohammad Reza
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2018, 23 (02): : 861 - 885
  • [38] Backward bifurcation and optimal control in a co-infection model for SARS-CoV-2 and ZIKV
    Omame, Andrew
    Abbas, Mujahid
    Onyenegecha, Chibueze P.
    [J]. RESULTS IN PHYSICS, 2022, 37
  • [39] Bifurcation analysis of a two infection SIR-SIR epidemic model with temporary immunity and disease enhancement
    Aguiar, M.
    Steindorf, V.
    Srivastav, A. K.
    Stollenwerk, N.
    Kooi, B. W.
    [J]. NONLINEAR DYNAMICS, 2024, 112 (15) : 13621 - 13639
  • [40] GLOBAL STABILITY AND BACKWARD BIFURCATION OF A GENERAL VIRAL INFECTION MODEL WITH VIRUS-DRIVEN PROLIFERATION OF TARGET CELLS
    Shu, Hongying
    Wang, Lin
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2014, 19 (06): : 1749 - 1768
12345