• DocumentCode
    3151604
  • Title

    Stability analysis for a differential infectivity epidemic model

  • Author

    Zhi, Song ; Gui-hong, Tao ; Shu-rong, Hui

  • Author_Institution
    Coll. of Sci., Shenyang Agric. Univ., Shenyang, China
  • fYear
    2011
  • fDate
    16-18 April 2011
  • Firstpage
    5255
  • Lastpage
    5258
  • Abstract
    A SInRS epidemic model is formulated by means of dividing classical infected population into n subgroups according to viral levels vary widely between infected individuals, we study the impact of variations in infectiousness, applying ordinary equation theory and nonlinear dynamics methods, we derive the reproductive number, the threshold condition of global stability of the infection-free equilibrium, discuss the main factors affecting the spread of disease and carry out numerical simulations.
  • Keywords
    differential equations; epidemics; nonlinear dynamical systems; numerical analysis; stability; SInRS epidemic model; differential infectivity epidemic model; nonlinear dynamics; numerical simulations; ordinary equation theory; stability analysis; Analytical models; Diseases; Immune system; Mathematical model; Numerical models; Numerical stability; Stability analysis; Global Stability; Reproductive number; SIn RS epidemic model; Threshold;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Consumer Electronics, Communications and Networks (CECNet), 2011 International Conference on
  • Conference_Location
    XianNing
  • Print_ISBN
    978-1-61284-458-9
  • Type

    conf

  • DOI
    10.1109/CECNET.2011.5768400
  • Filename
    5768400
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3151604