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带Beddington-DeAngelis功能反应项的捕食者-食饵交错扩散模型整体解的存在性
引用本文:许生虎,吕卫东,李相锋.带Beddington-DeAngelis功能反应项的捕食者-食饵交错扩散模型整体解的存在性[J].应用数学,2009,22(4).
作者姓名:许生虎  吕卫东  李相锋
作者单位:陇东学院数学系,甘肃,庆阳,745000
摘    要:本文采用能量方法和Bootstrap技巧证明了当空间维数n<10时一类带Beddington-DeAngelis功能反应项的捕食者-食饵交错扩散模型整体解的存在性.

关 键 词:交错扩散  古典解  Beddington-DeAngelis功能反应函数

Existence of Global Solutions for a Prey-predator Model with Beddington-DeAngelis Functional Response and Cross-diffusion
XU Sheng-hu,L Wei-dong,LI Xiang-feng.Existence of Global Solutions for a Prey-predator Model with Beddington-DeAngelis Functional Response and Cross-diffusion[J].Mathematica Applicata,2009,22(4).
Authors:XU Sheng-hu  L Wei-dong  LI Xiang-feng
Institution:XU Sheng-hu,L(u) Wei-dong,LI Xiang-feng
Abstract:Using the energy estimates and the bootstrap arguments,the global existence of classical solutions for a prey-predator model with Beddington-DeAngelis functional response and cross-diffusion is proved when the space dimension n<10.
Keywords:Cross-diffusion  Classical solutions  Beddington-DeAngelis functional response
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