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Title page for etd-0122114-140905


URN etd-0122114-140905 Statistics This thesis had been viewed 1304 times. Download 483 times.
Author Ming-Yi Chen
Author's Email Address felicity639@gmail.com
Department Math
Year 2013 Semester 1
Degree Master Type of Document Master's Thesis
Language zh-TW.Big5 Chinese Page Count 36
Title MATHEMATICAL MODELS FOR RABIES
Keyword
  • rabies
  • RABIES
  • RABIES
  • rabies
  • Abstract According to the epidemic diseases history, rabies often causes a terrible threat to human being’s health. Up to the present, this disease has broken out at over 150 countries and areas, and consequently kills over fifty thousand persons each year.
       In order to study the spread and development of rabies in mathematical approach, we construct three mathematical models, named SEID, under the consideration of the capacity of a logistic environment, by referring to the pathogenic factors and the pathological rabies and imitating two famous mathematical models, SI and SID, for epidemic diseases which were derived by mathematicians Kermack and Mckendrick.
       Due to the lack of the analytic solutions of those nonlinear SEID models , we can discover their behavior only by finding equilibrium states, and then applying Routh table to determine the stability. Some equilibrium states are so complicated that it is hard to complete their Routh table, therefore we should apply numerical experiments to present their stabilities. Finally, we hope, in the future, those SEID models can be modified to become control models that can be used in controlling rabies.
    Advisor Committee
  • Lu-Han Chuang - advisor
  • none - co-chair
  • none - co-chair
  • Files indicate access worldwide
    Date of Defense 2014-01-17 Date of Submission 2014-01-22


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