交叉扩散捕食模型古典解的全局存在性  

Global Existence of Classical Solutions to the Predator-prey Model with Cross-Diffusion

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：《烟台大学学报（自然科学与工程版）》2012年第4期239-242,共4页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(XDJK2009C152);云南省教育科研基金资助项目(2011Y072)

摘　　要：考察了一类带有交叉扩散和功能IV反应函数且满足留曼边界条件捕食-食饵反应扩散系统.利用Hǒlder连续,抛物方程Schauder估计和最大值原理,先对此系统的解进行先验估计,通过解的延拓,最后证明了此系统全局古典解的存在唯一性.A cross-diffusion predator-prey model is investigated incorporating Holling type IV functional response under homogeneous Neumann boundary condition. By applying the Holder continuity, the parabolic Schauder estimates and Maximum principle, a prior estimates of solutions are given for this system. The solution of this system is extended, and finally it is proved that there exists a unique global classical solution of this system.

关 键 词：古典解 Hǒlder连续 Shauder估计 

分 类 号：O175.1[理学—数学]