| Project/Area Number |
21540229
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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 |
Global analysis
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| Research Institution | Waseda University |
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Principal Investigator |
YAMADA Yoshio 早稲田大学, 理工学術院, 教授 (20111825)
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| Co-Investigator(Renkei-kenkyūsha) |
OTANI Mitsuharu 早稲田大学, 理工学術院, 教授 (30119656)
TANAKA Kazunaga 早稲田大学, 理工学術院, 教授 (20188288)
HIROSE Munemitsu 明治大学, 理工学部, 准教授 (50287984)
NAKASHIMA Kimie 東京海洋大学, 海洋科学部, 准教授 (10318800)
TAKEUCHI Shingo 芝浦工業大学, システム理工学部, 准教授 (00333021)
KUTO Kousuke 電気通信大学, 情報理工学研究科, 准教授 (40386602)
WAKASA Tohru 九州工業大学, 工学研究院, 准教授 (20454069)
OHYA Hirokazu 佐世保工業高等専門学校, 一般科目, 講師 (70409647)
OEDA Kazuhiro 早稲田大学, 理工学術院, 助手 (70580364)
SATO Norihiro 早稲田大学, 理工学術院, 助手 (80454023)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 非線形現象 / 反応拡散方程式 / 非線形拡散 / 自由境界問題 / 数理生態学 / 正値定常解 / 人口モデル / 侵入モデル / 大域解 |
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| Research Abstract |
This research project is concerned with the mathematical formulation of non-uniformity of species in mathematical ecology such as the segregation of two competing species and the spreading of invasive species. These phenomena are described by reaction-diffusion equations with population densities as unknown functions. We have obtained satisfactory results on the structure of positive steady-states for two-species models with nonlinear diffusion and the mechanism of spreading and vanishing for free boundary problems in invasion models.
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