|Table of Contents|

Qualitative Analysis of SEI Model With the Impact of Media(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2011年03期
Page:
32-35
Research Field:
数学
Publishing date:

Info

Title:
Qualitative Analysis of SEI Model With the Impact of Media
Author(s):
Tian Lu
Zijin College,Nanjing University of Science and Technology,Nanjing 210046,China
Keywords:
global stability; Liapunov function; SEI model; impact of media
PACS:
O175.13
DOI:
-
Abstract:
We consider global properties for a SEI model with impact of media， assuming that the rate of transmission is controlled by an unspecified function ( μ1 － μ2 f( I) ) SI． We develop Liapunov functions which enable us to obtain sufficient conditions of a globally asymptotically stable equilibrium state．

References:

［1］ Cui J A，Sun Y H，Zhu H P． The impact of media on the control of infections diseases［J］． Journal of Dynamics and Differential Equations，2007，20( 1) : 31-53．
［2］ Liu Y P，Cui J A． The impact of media coverage on the dynamics of infectious disease［J］． International Journal of Biomathematics， 2008，1( 1) : 65-74．
［3］ P van den Driessche，James Watmough． Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission［J］． Mathematical Biosciences，2002，180( 1 /2) : 29-48．
［4］ 马知恩，周义仓． 常微分方程定性与稳定性方法［M］． 北京: 科学出版社，2001．

Memo

Memo:
-
Last Update: 2011-09-15