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一类H1N1的动力学模型及其稳定性分析

发表时间:2010-07-15  浏览量:1693  下载量:758
全部作者: 刘乐乐,张娟,杨晓忠
作者单位: 华北电力大学数理学院
摘 要: 建立具有隔离项的HIN1传染病模型,分析模型的渐近性态,得到了决定疾病灭绝与否的阈值,即模型的基本再生数R0� 当R0<1时,系统仅存在一个无病平衡点,且是全局渐近稳定的,疾病将灭绝;当R0>1时,除无病平衡点外,系统还存在唯一稳定的地方病平衡点,疾病将不会灭绝而形成地方病。所得结果显示:隔离措施是控制H1N1疾病流行的最有效手段。
关 键 词: 生物数学;H1N1传染病模型;平衡点;稳定性
Title: A class of H1N1 dynamic model and its stability analysis
Author: LIU Lele, ZHANG Juan, YANG Xiaozhong
Organization: Department of Mathematics and Physics, North China Electric Power University
Abstract: In this paper, the dynamic model of the spread of H1N1 influence is proposed and analyzed. The basic reproduction number R0 is obtained, which determines whether the disease dies out or remains endemic. If R0 is less than 1, there only exists one disease free equilibrium point, which glueally is asymptotically stable, the H1N1 influence will die out; and if R0 is greater than 1, there exists one stable endemic equilibrium point except for the disease free equilibrium point, the disease will not become die out but remain endemic. The results show that quarantine measures are effective for the control of the H1N1 spread.
Key words: biomathematics; H1N1 epidemic model; equilibrium; stability
发表期数: 2010年7月第13期
引用格式: 刘乐乐,张娟,杨晓忠. 一类H1N1的动力学模型及其稳定性分析[J]. 中国科技论文在线精品论文,2010,3(13):1377-1383.
 
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