A mathematical model for infectious diseases -- an extended SIR model

碩士 === 國立高雄大學 === 應用數學系碩士班 === 96 === The model studies the outbreak of an infectious disease which is not transmissible between humans until the virus has mutated. An extended SIR model is derived in which both the susceptibles and the infectives are divided into two classes. The analysis points ou...

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Main Authors: Tai-wei Huang, 黃泰瑋
Other Authors: Ching-yu Chen
Format: Others
Language:en_US
Published: 2008
Online Access:http://ndltd.ncl.edu.tw/handle/48121779840428569974
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spelling ndltd-TW-096NUK055070052016-06-18T04:09:20Z http://ndltd.ncl.edu.tw/handle/48121779840428569974 A mathematical model for infectious diseases -- an extended SIR model 傳染病的數學模型—延伸的SIR模型 Tai-wei Huang 黃泰瑋 碩士 國立高雄大學 應用數學系碩士班 96 The model studies the outbreak of an infectious disease which is not transmissible between humans until the virus has mutated. An extended SIR model is derived in which both the susceptibles and the infectives are divided into two classes. The analysis points out a time delay before the disease taking off. Epidemic size and the maximum level of the infectives are also estimated. The model is further extended to investigate the efficiency of quarantine and vaccination schemes for controlling the effect of the disease. Ching-yu Chen 陳晴玉 2008 學位論文 ; thesis 28 en_US
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description 碩士 === 國立高雄大學 === 應用數學系碩士班 === 96 === The model studies the outbreak of an infectious disease which is not transmissible between humans until the virus has mutated. An extended SIR model is derived in which both the susceptibles and the infectives are divided into two classes. The analysis points out a time delay before the disease taking off. Epidemic size and the maximum level of the infectives are also estimated. The model is further extended to investigate the efficiency of quarantine and vaccination schemes for controlling the effect of the disease.
author2 Ching-yu Chen
author_facet Ching-yu Chen
Tai-wei Huang
黃泰瑋
author Tai-wei Huang
黃泰瑋
spellingShingle Tai-wei Huang
黃泰瑋
A mathematical model for infectious diseases -- an extended SIR model
author_sort Tai-wei Huang
title A mathematical model for infectious diseases -- an extended SIR model
title_short A mathematical model for infectious diseases -- an extended SIR model
title_full A mathematical model for infectious diseases -- an extended SIR model
title_fullStr A mathematical model for infectious diseases -- an extended SIR model
title_full_unstemmed A mathematical model for infectious diseases -- an extended SIR model
title_sort mathematical model for infectious diseases -- an extended sir model
publishDate 2008
url http://ndltd.ncl.edu.tw/handle/48121779840428569974
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