一阶捕食-被捕食系统的单调方法(英文)  

A MONOTONE APPROXIMATION FOR A PREY-PREDATOR SYSTEM OF FIRST ORDER

作　　者：赵景服[1] 刘伟安[1] 肖利芳[1] 

机构地区：[1]武汉大学数学与统计学院,湖北武汉430072

出　　处：《数学杂志》2007年第2期119-126,共8页Journal of Mathematics

基　　金：Supported by National Science Foundation of China(10471108)

摘　　要：本文利用单调逼近方法,研究带大小结构的捕食-被捕食系统的初边值问题,得到了系统解的存在唯一性,并且证明了序列是线性收敛的.In this paper, a monotone approximation is developed for solving the initialboundary value problem of prey-predator system with size-structure. Such an approximation results in the existence and uniqueness of the solution for the system. Furthermore, a first order convergence is established.

关 键 词：单调逼近方法 比较原理 一阶捕食-被捕食系统 线性收敛 

分 类 号：O175.1[理学—数学]