| Project/Area Number |
20540109
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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 | Kanazawa University (2011)
The University of Electro-Communications (2008-2010) |
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Principal Investigator |
NAKAMURA Ken-ichi (NAKAMURA Ken-Ichi) 金沢大学, 数物科学系, 准教授 (40293120)
|
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| Co-Investigator(Renkei-kenkyūsha) |
MATANO Hiroshi 東京大学, 大学院・数理科学研究科, 教授 (40126165)
NAKAMURA Toshiko (OGIWARA Toshiko) 城西大学, 理学部, 准教授 (70316678)
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| Project Period (FY) |
2008 – 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: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 反応拡散系 / 進行波解 / 均質化極限 / 界面方程式 / 数理生態学 / 進行波 / 2種競争系 |
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| Research Abstract |
In this research project, for the mathematical study of competition between biological species in heterogeneous environment, we investigated the effect of spatial inhomogeneity on the propagating speed of traveling waves of 2-species Lotka-Volterra competition-diffusion systems and their singular limit equations. Among other things, we obtained sharp estimates of the average propagation speed of traveling waves in spatially periodic environment, showed the existence and the asymptotic stability of recurrent traveling waves and established conditions for the well-definedness of the average speed of the recurrent traveling wave. We also considered the homogenization problem and determined the homogenization limit of the average speed and the limit profile of the traveling waves
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