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...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2008
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| Online Access: | http://ndltd.ncl.edu.tw/handle/48121779840428569974 |
| Summary: | 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.
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