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Mathematical Analysis for competition between species in heterogeneous environment

Mathematical Analysis for competition between species in heterogeneous environment
异质环境中物种间竞争的数学分析
批准号：
20540109
负责人：
NAKAMURA Ken-ichi
金额：
$2.83万
依托单位：
Kanazawa University (2011)The University of Electro-Communications (2008-2010)
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2008
资助国家：
日本
项目状态：
已结题
起止时间：
2008 至 2011
来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20540109/
关键词：
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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中文摘要
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英文摘要
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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Front propagation for Lotka-Volterra competitiondiffusion systems in a cylinder with spatially undulating boundary
具有空间起伏边界的圆柱体中 Lotka-Volterra 竞争扩散系统的前向传播
DOI： --
发表时间： 2008
期刊：
影响因子： --
作者： [Y.Mochimaru, M-W.Bae, Ken-Ichi Nakamura, Yoshihiro Mochimaru, Y. Mochimaru & M-w. Bae, 原田昌晃, Ken-Ichi Nakamura, Ken-Ichi Nakamura, Yoshihiro Mochimaru, 小松彦三郎, Ken-Ichi Nakamura, Yoshihiro Mochimaru, Hikosaburo Komatsu, Ken-Ichi Nakamura, Hikosaburo Komatsu, Ken-Ichi Nakamura, Hikosaburo Komatsu, 小松彦三郎, 中村健一, 小松彦三郎,田中由真著, 中村健一, 小松彦三郎, 中 村 健 一, 小松彦三郎, Ken-Ichi Nakamura]
通讯作者： Ken-Ichi Nakamura
Asymptotic stability of traveling waves in heterogeneous media
异质介质中行波的渐近稳定性
DOI： --
发表时间： 2008
期刊：
影响因子： --
作者： [Y.Mochimaru, M-W.Bae, Ken-Ichi Nakamura, Yoshihiro Mochimaru, Y. Mochimaru & M-w. Bae, 原田昌晃, Ken-Ichi Nakamura, Ken-Ichi Nakamura, Yoshihiro Mochimaru, 小松彦三郎, Ken-Ichi Nakamura, Yoshihiro Mochimaru, Hikosaburo Komatsu, Ken-Ichi Nakamura, Hikosaburo Komatsu, Ken-Ichi Nakamura]
通讯作者： Ken-Ichi Nakamura
Existence of recurrent traveling waves in a two-dimensional cylinder with undulating boundary-the virtual pinning case
边界起伏的二维圆柱体中循环行波的存在性——虚拟钉扎情况
DOI： --
发表时间： 2011
期刊：
影响因子： --
作者： [Y.Mochimaru, M-W.Bae, Ken-Ichi Nakamura]
通讯作者： Ken-Ichi Nakamura
Homogenization limit of recurrent traveling waves in a two-dimensional cylinder with undulating boundary
边界起伏的二维圆柱体中循环行波的均匀化极限
DOI： --
发表时间： 2010
期刊：
影响因子： --
作者： [Y.Mochimaru, M-W.Bae, Ken-Ichi Nakamura, Yoshihiro Mochimaru, Y. Mochimaru & M-w. Bae, 原田昌晃, Ken-Ichi Nakamura, Ken-Ichi Nakamura]
通讯作者： Ken-Ichi Nakamura
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    • 财政年份：
      2006
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    • 项目类别：
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    • 资助金额：
      $2.24万
    • 财政年份：
      2000
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    • 批准号：
      09680193
    • 项目类别：
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      $2.05万
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