研究生: |
劉英傑 Ing-Jay Liu |
---|---|
論文名稱: |
The Effect of Disease Age in an Asymptomatic Epidemics Model 一個無症狀的流染數學模型 |
指導教授: | 許世壁 |
口試委員: | |
學位類別: |
碩士 Master |
系所名稱: |
理學院 - 數學系 Department of Mathematics |
論文出版年: | 2008 |
畢業學年度: | 96 |
語文別: | 英文 |
論文頁數: | 22 |
中文關鍵詞: | 流行傳染病 |
相關次數: | 點閱:1 下載:0 |
分享至: |
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
This paper concerns a disease transmission model with incubation and
infection age.Analytical results are obtained using a Lyapunov
function of the respective ratios of susceptible,expose,and
asymptomatic classes to the clinical symptomatic infective class.
Conditions are given for stability of equilibria to classify when
the disease spread to the whole population or a lesser outbreak
where some member of the population remain uninfected.
[1] ARINO,J.,BRAUER,F.,VAN DE DRIESSCHE,P.,WATMOUGH,J.,WU,J.,2006,
Simple models for containment of a pandemic., J.R.Soc.Interface 3,453-457.
[2] BELL D.M., World Health Organization Writing Group,2006., Nonpharmaceutical
intervention for pandemic influenza,international
measures.Emerg.Infect,Dis.12(1),81-87.
[3] CHAN,P.K.,2002., Outbreak of avian influenza A(H5N1) virus infection in
Hong Kong in 1997., Clin.infect.Dis.34(Suppl2),S58-64.
[4] COPPELL,W.A.1965, Stability and Asymptotic Behavior of Solutions of Differential
Equations., NHeath,Boston.
[5] GRAAT,J.M.,SCHOUTEN,E.G.,HEIJNEN,M.L.,KOK,F.J.,PALLAST,E.G.,DE
GREEFF,S.C.,DORIGO-ZETSMA,J.W.,2003., Aprospective,comunity-based
study on virologic assessment among elderly people with and without symptoms
of acute respiratory infection., J.Clin.Epidemiol.56(12),1218-1223.
[6] HSU,S.B.,HSIEH,Y.H.,2006., On the Role of Asymptomatic Infection in
Transmission Dynamiccs of Infectious Diseases
[7] STILIANAKIS,N.I.,PERELSON,A.S.,HAYDEN,F.G.,1998, Emergence of drug
resistance during an influenza epidemic:insights from a mathematical model.,
J.Infect.Dis.177(4),863-873