2012 Fiscal Year Final Research Report
Researches on mathematical structured population dynamics and its applications to mathematical models for infectious diseases
| Project/Area Number |
22540114
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | The University of Tokyo |
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Principal Investigator |
INABA Hisashi 東京大学, 大学院・数理科学研究科, 准教授 (80282531)
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| Project Period (FY) |
2010 – 2012
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| Keywords | 構造化個体群ダイナミクス / 感染症数理モデル / 基本再生産数 / タイプ別再生産数 |
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| Research Abstract |
We formulate structured population models of biological populations by taking into account individual traits and using differential and integral equations, then we mathematically analyzed qualitative behavior and developed applications to mathematical epidemiology. In particular, we have shown a new definition for the basic reproduction number and the type-reproduction number in time-heterogeneous environments, by which we have given a unified perspective in the theory of basic reproduction number.
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