数学物理学报(英文版) ›› 2003, Vol. 23 ›› Issue (4): 440-.

• 论文 • 上一篇    下一篇

ANALYSIS OF AN SI EPIDEMIC MODEL WITH NONLINEAR TRANSMISSION AND STAGE STRUCTURE 1

 陈忠华, 张淑京, 陈兰荪   

  1. Supercomputing Center of Computer Network Information Center, Chinese Academy of Sciences,
    Beijing 100080, China, E-mail:zhlu@jupiter.cnc.ac.cn
    Department of Mathematics, Guangzhou University,
    Guangzhou 510405, China, E-mail:gaosjmath@163.net
    Institute of Mathematics, Academy of Mathematics &|System Sciences,
    Academia Sinica, Beijing 100080, China, E-mail:lschen@math08.math.ac.cn
  • 出版日期:2003-10-06 发布日期:2003-10-06
  • 基金资助:

    This work is supported by National Natural Science Foundation of China (10171106)
    and the Special Fund for Major State Basic Research Projects (G1999032805)

ANALYSIS OF AN SI EPIDEMIC MODEL WITH NONLINEAR TRANSMISSION AND STAGE STRUCTURE 1

 CHEN Zhong-Hua, ZHANG Chu-Jing, CHEN Lan-Sun   

  1. Supercomputing Center of Computer Network Information Center, Chinese Academy of Sciences,
    Beijing 100080, China, E-mail:zhlu@jupiter.cnc.ac.cn
    Department of Mathematics, Guangzhou University,
    Guangzhou 510405, China, E-mail:gaosjmath@163.net
    Institute of Mathematics, Academy of Mathematics &|System Sciences,
    Academia Sinica, Beijing 100080, China, E-mail:lschen@math08.math.ac.cn
  • Online:2003-10-06 Published:2003-10-06
  • Supported by:

    This work is supported by National Natural Science Foundation of China (10171106)
    and the Special Fund for Major State Basic Research Projects (G1999032805)

PDF (PC)

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摘要：

A disease transmission model of SI type with stage structure is formulated.
The stability of disease free equilibrium, the existence and uniqueness of an endemic equilibrium,
the existence of a global attractor are investigated.

关键词: SI epidemic model, threshold, disease free equilibrium, endemic equilibrium,
global attractor

Abstract:

A disease transmission model of SI type with stage structure is formulated.
The stability of disease free equilibrium, the existence and uniqueness of an endemic equilibrium,
the existence of a global attractor are investigated.

Key words: SI epidemic model, threshold, disease free equilibrium, endemic equilibrium,
global attractor

中图分类号: 

  • 92D05
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