2014 Fiscal Year Final Research Report
Theory of global asymptotic stability on the basic reproduction number of epidemic mathematical models
| Project/Area Number |
24540219
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Waseda University |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Keywords | 関数方程式の大域理論 / 数理モデル / 感染症モデル / 大域漸近安定性 / Lyapunov 関数法 |
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| Outline of Final Research Achievements |
We have established much contribution to the theory of global asymptotic stability on multi-group SIRS epidemic models, SIS epidemic models with patch structure, HIV virus disease models and related Lotka-Volterra systems, which are contained new analytical techniques on permanence and the existence of the endemic equilibrium of model by applying the recent results on the global stability by the basic reproduction number of epidemic model.
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| Free Research Field |
数理生物学
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