[1]田露.媒体报导影响下的SEI模型的定性分析[J].南京师范大学学报(自然科学版),2011,34(03):32-35.
 Tian Lu.Qualitative Analysis of SEI Model With the Impact of Media[J].Journal of Nanjing Normal University(Natural Science Edition),2011,34(03):32-35.
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媒体报导影响下的SEI模型的定性分析()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第34卷
期数:
2011年03期
页码:
32-35
栏目:
数学
出版日期:
2011-09-20

文章信息/Info

Title:
Qualitative Analysis of SEI Model With the Impact of Media
作者:
田露
南京理工大学紫金学院,江苏南京210046
Author(s):
Tian Lu
Zijin College,Nanjing University of Science and Technology,Nanjing 210046,China
关键词:
全局稳定Liapunov 函数SEI 模型媒体报导
Keywords:
global stabilityLiapunov functionSEI modelimpact of media
分类号:
O175.13
摘要:
考虑了媒体报导影响下的SEI模型,并且假设传染率为(μ1-μ2f(I))SI.通过构造Liapunov函数得到了平衡点全局渐近稳定的充分条件.
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.

参考文献/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.

备注/Memo

备注/Memo:
基金项目:国家自然科学基金( 10771104) .通讯联系人:田露,助教,研究方向: 生物数学. E-mail: tianlu0905@163. Com
更新日期/Last Update: 2011-09-15