| 一阶捕食-被捕食系统的单调方法 |
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| 引用本文： | 赵景服,刘伟安,肖利芳.一阶捕食-被捕食系统的单调方法[J].数学杂志,2007,27(2):119-126. |
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| 作者姓名： | 赵景服 刘伟安 肖利芳 |
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| 作者单位： | 武汉大学数学与统计学院,湖北武汉,430072 |
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| 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.
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| 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 |
| 文章编号： | 0255-7797（2007）02-0119-08 |
| 修稿时间： | 2005-01-102005-12-11 |
A MONOTONE APPROXIMATION FOR A PREY-PREDATOR SYSTEM OF FIRST ORDER |
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| ZHAO Jing-fu,LIU Wei-an,XIAO Li-fang.A MONOTONE APPROXIMATION FOR A PREY-PREDATOR SYSTEM OF FIRST ORDER[J].Journal of Mathematics,2007,27(2):119-126. |
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| Authors: | ZHAO Jing-fu LIU Wei-an XIAO Li-fang |
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| Institution: | School of Math. and Statistics, Wuhan University, Wuhan 430072, China |
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| Abstract: | In this paper, a monotone approximation is developed for solving the initial-boundary 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. |
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| Keywords: | monotone approximation comparison principle prey-predator system of first order linear convergence |
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