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URN etd-0122114-140905 Statistics This thesis had been viewed 1282 times. Download 483 times. Author Ming-Yi Chen Author's Email Address email@example.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 Date of Defense 2014-01-17 Date of Submission 2014-01-22