An SIS epidemic model with stage structure and a delay

被引：16
|
作者：
Xiao Y.-N. [1 ]
Chen L.-S. [1 ]
机构：
[1] Academy of Mathematics and System Sciences, Chinese Academy of Sciences
来源：
Acta Mathematicae Applicatae Sinica | 2002年 / 18卷 / 4期
基金：
中国博士后科学基金;
关键词：
Globally asymptotically stable; Hopf bifurcation; SIS epidemic model; Stage structure; Threshold;
D O I：
10.1007/s102550200063
中图分类号：
学科分类号：
摘要：
A disease transmission model of SIS type with stage structure and a delay is formulated. Stability of the disease free equilibrium, and existence, uniqueness, and stability of an endemic equilibrium, are investigated for the model. The stability results are stated in terms of a key threshold parameter. The effects of stage structure and time delay on dynamical behavior of the infectious disease are analyzed. It is shown that stage structure has no effect on the epidemic model and Hopf bifurcation can occur as the time delay increases. © Springer-Verlag 2002.
引用
收藏
页码：607 / 618
页数：11
相关论文
共 50 条
  • [41] Global behavior of a multi-group SIS epidemic model with age structure
    Feng, ZL
    Huang, WZ
    Castillo-Chavez, C
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2005, 218 (02) : 292 - 324
  • [42] Parameter estimation for the stochastic SIS epidemic model
    Pan J.
    Gray A.
    Greenhalgh D.
    Mao X.
    Statistical Inference for Stochastic Processes, 2014, 17 (1) : 75 - 98
  • [43] Probability analysis of a stochastic SIS epidemic model
    Ge, Qing
    Li, Zhiming
    Teng, Zhidong
    STOCHASTICS AND DYNAMICS, 2017, 17 (06)
  • [44] Certain aspects of the SIS stochastic epidemic model
    Cabral-Garcia, Gabriela de Jesus
    Villa-Morales, Jose
    APPLIED MATHEMATICAL MODELLING, 2024, 128 : 272 - 286
  • [45] Stability and bifurcation of an SIS epidemic model with treatment
    Li, Xue-Zhi
    Li, Wen-Sheng
    Ghosh, Mini
    CHAOS SOLITONS & FRACTALS, 2009, 42 (05) : 2822 - 2832
  • [46] Outbreak analysis of an SIS epidemic model with rewiring
    David Juher
    Jordi Ripoll
    Joan Saldaña
    Journal of Mathematical Biology, 2013, 67 : 411 - 432
  • [47] SIS epidemic model-based optimization
    Huang, Guang-qiu
    JOURNAL OF COMPUTATIONAL SCIENCE, 2014, 5 (01) : 32 - 50
  • [48] A stochastic SIS epidemic model with heterogeneous contacts
    Economoua, A.
    Gomez-Corral, A.
    Lopez-Garcia, M.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 421 : 78 - 97
  • [49] The effect of time scales on SIS epidemic model
    Sae-Jie, Wichuta
    Bunwong, Kornkanok
    Moore, Elvin J.
    WSEAS Transactions on Mathematics, 2010, 9 (10) : 757 - 767
  • [50] On the solution of fractional order SIS epidemic model
    Hassouna, M.
    Ouhadan, A.
    El Kinani, E. H.
    CHAOS SOLITONS & FRACTALS, 2018, 117 : 168 - 174
12345