带有两食饵趋向的捕食模型古典解的全局存在性  

Global existence of classical solutions to the three species system with two-prey-taxes

作　　者：李成林[1] 

机构地区：[1]保山学院数学学院,云南保山678000

出　　处：《保山学院学报》2011年第5期64-67,共4页JOURNAL OF BAOSHAN UNIVERSITY

基　　金：云南省教育厅科学研究基金(项目编号:2011Y072)

摘　　要：考察了在留曼边界条件下带有两捕食趋向和Holing-II型反应函数的三种群模型。应用抛物方程Shauder估计及Lp估计,证明了此模型存在唯一全局古典解。This paper deals with the three species including two-prey-taxes 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：古典解 Shauder估计 Lp估计 

分 类 号：O13[理学—数学]