| 捕食者-食饵-互惠交错扩散模型解的整体存在性 |
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| 引用本文： | 张丽娜,伏升茂.捕食者-食饵-互惠交错扩散模型解的整体存在性[J].应用数学学报,2011,34(1). |
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| 作者姓名： | 张丽娜 伏升茂 |
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| 作者单位： | 西北师范大学数学与信息科学学院,兰州,730070 |
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| 基金项目： | 国家自然科学基金，甘肃省自然科学基金，西北师范大学创新工程 |
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| 摘 要： | 本文应用Sobolev嵌入定理,能量估计和bootstrap技巧证明一类捕食者-食饵-互惠交错扩散模型在空间维数小于10时古典解的整体存在性.
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| 关 键 词： | 捕食者-食饵-互惠模型 交错扩散 整体解 |
Global Existence of Solutions for a Predator-prey-mutualist Model with Cross-diffusion |
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| ZHANG LINA,FU SHENGMAO.Global Existence of Solutions for a Predator-prey-mutualist Model with Cross-diffusion[J].Acta Mathematicae Applicatae Sinica,2011,34(1). |
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| Authors: | ZHANG LINA FU SHENGMAO |
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| Institution: | ZHANG LINA FU SHENGMAO (College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070) |
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| Abstract: | Using the energy estimate method,Sobolev embedding theorems and the bootstrap arguments,the global existence of classical solutions for a predator-prey-mutualist model with cross-diffusion is proved when the space dimension is less than 10. |
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| Keywords: | predator-prey-mutualist model cross-diffusion global solution |
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