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(英文)  

Existence of Global Solutions for a Prey-predator Model with Beddington-DeAngelis Functional Response and Cross-diffusion

作　　者：许生虎[1] 吕卫东[1] 李相锋[1] 

机构地区：[1]陇东学院数学系,甘肃庆阳745000

出　　处：《应用数学》2009年第4期821-827,共7页Mathematica Applicata

基　　金：Supported by the Longdong University Grant (XYZK-0804);University Graduate Rearch Adviser of the Funds Gansu Province Grant (0810-03)

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Bedding-ton-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.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.

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

分 类 号：O175.26[理学—数学]