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.