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手足口病传播的数学模型与数值模拟 被引量:3

Mathematical model and numerical simulation of hand foot and mouth disease spread
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摘要 根据手足口病的传播特征,建立了该疾病传播的连续数学模型,并对其进行了稳定性分析,得到了疾病消亡或持续的条件.根据所获得的数据,对模型进行了数值模拟,证明了该模型的正确性. According to the propagation characteristics of hand foot and mouth disease, a continuous mathe- matical model of the spread of the disease was established. Its stability was also analyzed, and the control or continuous condition of the disease were obtained. Based on the obtained data, the numerical simulation was carried out according to the model. It illustrated the correctness of propagation model of the disease.
作者 李春
出处 《郑州轻工业学院学报(自然科学版)》 CAS 2013年第6期105-108,共4页 Journal of Zhengzhou University of Light Industry:Natural Science
基金 河南省科技计划项目(112300410156) 郑州轻工业学院校内基金项目(2011XJJ014)
关键词 手足口病传播模型 平衡点 阈值 数值模拟 hand foot and mouth disease spread model equilibrium point threshold numerical simulation
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参考文献7

  • 1Nong Guang-Min. Autopsy findings in children with hand,foot and mouth disease[J].New England Journal of Medi-cine,2012.91.
  • 2Li M Y,Wang L C. Global Stability in Some SEIR Epi-demic Models[M].Berlin:Springer-Verlag Press,2002.295-311.
  • 3Zhang J,Ma Zhien. Global dynamic behavior of the SEIR epidemic model with the saturating contact rate[J].Math-ematical Biosciences,2003,(01):15.
  • 4李春,李继光.一类仅在年龄低于M的人群中传播的SEIR传染病模型[J].郑州轻工业学院学报(自然科学版),2010,25(1):120-124. 被引量:3
  • 5安徽省卫生厅.疾病报告统计.
  • 6Freedman H I,Tang MX,Ruan S G. Uniform persistence and flows near a closed positively invariant set[J].J Dy-nam Diff Equat,1994,(06):583.
  • 7安徽省统计局.安徽省 2002-2008 年国民经济和社会发展统计公报.

二级参考文献5

  • 1Li Michael,Wang liangcheng.Global stability in some SEIR epidemic models[C]//IMA Volumes in Mathe and its Appli 126,Berlin:Germany Springer-Verlag,2002:295-311.
  • 2Zhang Juan,Ma Zhien.Global dynamic behavior of the SEIR epidemic model with the saturating contact rate[J].Mathe Biosci,2003,185(1):15.
  • 3LaSalle J P.动力系统的稳定性[M].陆征一,译.成都:四川科学技术出版社,2002.
  • 4Freedman H I,Tang M X,Ruan S G.Uniform persistence and flows near a closed positively invariant set[J].J Dy-nam Diff Equat,1994,6:583.
  • 5Fiedler M.Additive compound matrices and inequality for eigenvalues of stochastic matrices[J].Czech Math J,1974,99:392.

共引文献2

同被引文献63

  • 1崔景安,叶萌,宋国华,张艳.北京市手足口病的流行趋势预测[J].生物数学学报,2014,29(1):131-135. 被引量:5
  • 2董选军,余运贤,叶晓军,朱列波.义乌市2009-2011年手足口病时空扫描统计分析[J].中国公共卫生管理,2013,29(3):357-358. 被引量:4
  • 3孙振球,徐勇勇.医学统计学[M].北京:人民卫生出版社,2013:20-25.
  • 4国家卫生计生委疾病预防控制局.全国法定传染病疫情情况[EB/OL]http://www,nhfpc,gov.cn/jkj/pgzdt/list-2,shtml.
  • 5Angulo J,Yu HL,Langousis A,et al.Spatiotemporal infectious disease modeling: A BME-SIR approach[J].Plos one,2013,8(9): e72168.
  • 6Chuo F,Tiing FCS,Labadin J,et al.A simple deterministic model for the spread of hand,foot and mouth disease (HFMD) in Sarawak[J].IEEE,2008:947- 952.
  • 7Sham NM,Krishnarajah I,Shitan M,et al.Time series modelon hand,foot and mouth disease in Sarawak,Malaysia.Asian Pacific Journal of Tropical Disease.2014(4): 469-472.
  • 8Samphutthanon R,Tripathi NK,Ninsawat S,et al.Spatio-temporal distribution and hotspots of hand,foot and mouth disease(HFMD) in Northern Thailand[J].International journal of environmental research and public health,2013,11(1): 312-336.
  • 9Liu Y,Wang X,Liu Y,et al.Detecting Spatial-Temporal Clusters of HFMD from 2007 to 2011 in Shandong Province,China.e63447.PLoS ONE.2013;8.
  • 10Bo Y,Song C,Wang J,et al.Using an autologistic regression model to identify spatial risk factors and spatial risk patterns of hand,foot and mouth disease (HFMD) in China's Mainland.BMC public health.2014(14): 358-358.

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