Acta mathematica scientia,Series B ›› 2003, Vol. 23 ›› Issue (4): 440-.

• Articles • Previous Articles     Next Articles

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)

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

CLC Number: 

  • 92D05
Trendmd