The Stability of an SEI Epidemic System with Two Different Vertical Transmissions
碩士 === 東海大學 === 應用數學系 === 102 === In this thesis, we construct the autonomous SEI epidemic system with vertical transmission. We first analyze the local stability of the equilibriums. Secondly, we use the technique of Lyapunov function, LaSalle's Invariance Principle, and Ponicar$\grave{e}$-Ben...
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2014
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| Online Access: | http://ndltd.ncl.edu.tw/handle/65349087772574075247 |
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ndltd-TW-102THU005070012016-06-08T04:14:20Z http://ndltd.ncl.edu.tw/handle/65349087772574075247 The Stability of an SEI Epidemic System with Two Different Vertical Transmissions 具不同形式垂直傳染的SEI傳染病系統之穩定性分析 Cheng-Yi Yu 游政易 碩士 東海大學 應用數學系 102 In this thesis, we construct the autonomous SEI epidemic system with vertical transmission. We first analyze the local stability of the equilibriums. Secondly, we use the technique of Lyapunov function, LaSalle's Invariance Principle, and Ponicar$\grave{e}$-Bendixson Theorem to establish the global stability of the equilibriums. Furthermore, we obtain the basic reproductive number $\rho$ which determines whether the disease is extinct or not. Finally, we give some examples to illustrate our results. Chao-Pao Ho 何肇寶 2014 學位論文 ; thesis 41 en_US |
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NDLTD |
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en_US |
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Others
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碩士 === 東海大學 === 應用數學系 === 102 === In this thesis, we construct the autonomous SEI epidemic system with vertical transmission. We first analyze the local stability of the equilibriums. Secondly, we use the technique of Lyapunov function, LaSalle's Invariance Principle, and Ponicar$\grave{e}$-Bendixson Theorem to establish the global stability of the equilibriums. Furthermore, we obtain the basic reproductive number $\rho$ which determines whether the disease is extinct or not. Finally, we give some examples to illustrate our results.
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| author2 |
Chao-Pao Ho |
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Chao-Pao Ho Cheng-Yi Yu 游政易 |
| author |
Cheng-Yi Yu 游政易 |
| spellingShingle |
Cheng-Yi Yu 游政易 The Stability of an SEI Epidemic System with Two Different Vertical Transmissions |
| author_sort |
Cheng-Yi Yu |
| title |
The Stability of an SEI Epidemic System with Two Different Vertical Transmissions |
| title_short |
The Stability of an SEI Epidemic System with Two Different Vertical Transmissions |
| title_full |
The Stability of an SEI Epidemic System with Two Different Vertical Transmissions |
| title_fullStr |
The Stability of an SEI Epidemic System with Two Different Vertical Transmissions |
| title_full_unstemmed |
The Stability of an SEI Epidemic System with Two Different Vertical Transmissions |
| title_sort |
stability of an sei epidemic system with two different vertical transmissions |
| publishDate |
2014 |
| url |
http://ndltd.ncl.edu.tw/handle/65349087772574075247 |
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