Study on spatial pattern solutions for the Lotka-Volterra system with advection
| Project/Area Number |
21740129
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | The University of Electro-Communications (2010-2011)
Fukuoka Institute of Technology (2009) |
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Principal Investigator |
KUTO Kousuke 電気通信大学, 情報理工学研究科, 准教授 (40386602)
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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 |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | 非線形数理 / 反応拡散移流系 / 定常解 / 分岐 / 数理生物モデル / 極限系 / 移流 / 反応拡散 / 楕円型偏微分方程式 / 境界条件 / 現象の数理 / ロトカ・ボルテラ系 / 反応拡散系 / 定常パターン / 数理モデル / 相互拡散 / アプリオリ評価 / 漸近解析 / 写像度 |
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| Research Abstract |
We derive some mathematical information on the global bifurcation structure of stationary solutions to the Lotka-Volterra system with nonlinear diffusion. First we study the Lotka-Volterra competition system with cross-diffusion under the Dirichlet boundary conditions to obtain the global bifurcation branch of a subset of stationary solutions to the limiting system as a cross-diffusion term tends to infinity. We also study a reaction-diffusion-advection system related to the Lotka-Volterra system and obtain the global bifurcation structure of stationary solutions to the limiting system as the diffusion and advection terms tend to infinity.
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Report
(4 results)
Research Products
(24 results)
