簡易檢索 / 詳目顯示

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. Abstract 2. Introduction 3. The Model 4. Some Analysis of Model 5. Discussions

    [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

    無法下載圖示 全文公開日期 本全文未授權公開 (校內網路)
    全文公開日期 本全文未授權公開 (校外網路)

    QR CODE