宋礼鹏
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Pattern Dynamics of an SIS Epidemic Model with Nonlocal Delay
  • Title of Paper:
    Pattern Dynamics of an SIS Epidemic Model with Nonlocal Delay
  • Journal:
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
  • Key Words:
    Disease transmission; nonlocal delay; bifurcation analysis; spatiotemporal patterns; Turing instability
  • Summary:
    In this paper, we study an SIS epidemic model with nonlocal delay based on reaction-diffusion equation. The spatiotemporal distribution of the model solution is studied in detail, and sufficient conditions for the occurrence of the Turing pattern were obtained using the analysis of Turing instability. It was found that the delay not only prohibited the spread of infectious disease, but also had great effects on the spatial steady-state patterns. More specifically, the spatial average density of the infected populations will decrease, as well the width of the stripe pattern will increase as delay increases. When the delay increases to a certain value, the stripe pattern changes to the mixed pattern. The results in this work provide new theoretical guidance for the prevention and treatment of infectious diseases.
  • First Author:
    Guo Zun-Guang
  • Correspondence Author:
    Song Li-Peng
  • All the Authors:
    Sun Gui-Quan, Li Can
  • Document Code:
    1950027
  • Volume:
    29
  • Issue:
    2
  • ISSN:
    0218-1274
  • Translation or Not:
    No
  • Date of Publication:
    2019-02
  • Release Time:
    2020-08-10
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