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具有两食饵趋向的食物链模型古典解的全局存在性

李成林

应用数学2011,Vol.24Issue(4):770-777,8.
应用数学2011,Vol.24Issue(4):770-777,8.

具有两食饵趋向的食物链模型古典解的全局存在性

Global Existence of Classical Solutions to the Food Chain Model with Two-preys-taxis

李成林1

作者信息

  • 1. 西南大学数学与统计学院,重庆400715;保山学院数学学院,云南保山678000
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摘要

Abstract

This paper deals with the food chain model in three spices including two-preys-taxis and Holling type- Ⅱ functional response under no flux boundary condition.The central point of this system is that the spatial-temporal variations of the predators' velocity are directed by the preys' gradient.By applying the contraction mapping principle,the parabolic Schauder estimates and parabolic Lp estimates,we prove that there exists a unique global classical solution of this system.

关键词

食物链/古典解/不动点/Schauder估计/Lp估计

Key words

Food chain/Classical solutions/A fixed point theorv: Schauder estimates/Lp estimates

分类

数理科学

引用本文复制引用

李成林..具有两食饵趋向的食物链模型古典解的全局存在性[J].应用数学,2011,24(4):770-777,8.

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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