Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Chinese Journal of Engineering Mathematics》 2004-05
Add to Favorite Get Latest Update

The Study on Dynamic Behavior of SIR Epidemiological Model with Nonlinear Saturated Contact Rate Under Vaccination

XU Wen-xiong, ZHANG Zhong-hua (School of Science, Xi’an Jiaotong University, Xi’an 710049)  
The dynamic behavior of a kind of SIR epidemiological model with general nonlinear saturated contact rate is considered under vaccination. The basic reproductive number is found which determines the existence of the infection. When it is equal to or smaller than 1, there only exists disease free equilibrium, otherwise, two equilibria,the endemic equilibrium and the disease free equilibrium exist. By Hurwitz criterion and Liapunov-Lasalleinvariant theorem, the locally asymptotical stability of disease free equilibrium and the endemic equilibrium is proved and the condition under which the disease free equilibrium is globally asymptotically stable is found. Specially, if the infective rate is bilinear,both of the equilibria are globally asymptotically stable.
【CateGory Index】: R181.3
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved