具有两食饵趋向的食物链模型古典解的全局存在性(英文)  

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

作　　者：李成林[1,2] 

机构地区：[1]西南大学数学与统计学院,重庆400715 [2]保山学院数学学院,云南保山678000

出　　处：《应用数学》2011年第4期770-777,共8页Mathematica Applicata

摘　　要：本文探讨在留曼边界条件下带有两食饵趋向和功能Ⅱ反应函数的三物种食物链模型,此模型的主要特征是捕食者捕食速度空间上的临时变化是由食饵的梯度决定的.应用压缩原理,抛物方程的Schauder估计和Lp估计,证明了此模型古典解的全局存在性.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 

分 类 号：O175.1[理学—数学]