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手足口病型传染病的数学模型 被引量:4

The Mathematical Model of Infectious Disease of HFMD Type
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摘要 将传染病流行区内的人群分成5类,根据人群之间的变化机制,应用动力学方法建立了含有潜伏期且在潜伏期、发病期和病愈期内均具有传染性的手足口病型传染病的数学模型.并在建立模型的基础上,讨论了手足口病模型的平衡点和稳定性,同时得出了阈值定理. In this paper, we divide the crowd in the infected area into five kinds and apply dynamics method to build a model of infectious disease of "hand, foot and mouth disease (HFMD)" type containing incubation period and having contagion equally within incubation period, morbidity scheduled time and the scheduled time recovering. On the basis of the model, we also discuss the equilibrium point, the stability of this model and give a threshold theorem .
作者 黄娜 陈学华
出处 《淮阴师范学院学报(自然科学版)》 CAS 2008年第4期267-269,共3页 Journal of Huaiyin Teachers College;Natural Science Edition
关键词 传染病 潜伏期 手足口病 平衡点 稳定性 epidemic incubation period hand, foot and mouth disease equilibrium point
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  • 1黄玉梅,李树勇,潘杰.具有阶段结构的SIRS传染病模型[J].四川师范大学学报(自然科学版),2005,28(1):31-33. 被引量:10
  • 2胡宝安,陈博文,原存德.具有阶段结构的SIS传染病模型[J].生物数学学报,2005,20(1):58-64. 被引量:20
  • 3李大潜.传染病动力学的一个偏微分方程模型[J].高校应用数学学报,1986,1(9):17-26.
  • 4李大潜.非终身免疫型传染病动力学的偏微模型[J].生物数学学报,1986,(1):29-36.
  • 5Anderson R M.The persistence of direct life cycle infectious diseases within populations of hosts[J].Lectures on mathematices in the life Sciences,American Mathematical Society,1979,12(1):1-67.
  • 6Anderson R M,May R M.Population biology of infectious diseases[J].Nature,1979,280(5721):361-367.
  • 7Walter G Alello.Freedman H I A time-delay model of single species growth with stage structure[J].Math.Biosci.1990,101:139-153.
  • 8WangWendi,ChenLansun,A Predator-prey with stage-structure for predator[J].Computers Math Applic;1997,8:83-91.
  • 9原存德,胡宝安.具有阶段结构的SI传染病模型[J].应用数学学报,2002,25(2):193-203. 被引量:51

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  • 1涂明华,涂琤.肠道病毒感染[J].九江医学,2008,23(2):83-84. 被引量:3
  • 2邱玮炜,安宁,戚烜.流行病传播的数学模型研究[J].消费导刊,2010(7):203-203. 被引量:1
  • 3董晓楠,应剑,陈应华.1970~2004年全球肠道病毒71型分离株的分子流行病学分析[J].科学通报,2007,52(9):1021-1027. 被引量:108
  • 4中华人民共和国卫生部.手足口病预防控制指南(2010版).
  • 5Schmidt NJ, Lennette EH, Ho HH. An apparently new enterovirus isolated from patients with disease of the central nervous system. J In- fect Dis, 1974, 129(3):304-309.
  • 6陈伟.EV71地方株的分离鉴定及其VP1基因真核表达载体构建与免疫活性初步研究.安徽医科大学:2009.
  • 7Li L, He Y, Yang H, et al. Genetic characteristics of human en- terovirus 71 and coxsackievirus A16 circulating from 1999 to 2004 in Shenzhen, People's Republic of China. J Clin Microbiol, 2005, 43 (8) : 3835-3839.
  • 8Chan LG, Parashar UD, Lye MS, et al. Death of children during an outbreak of hand, foot, and mouth disease in sarawak, Malaysia: clinical and pathological characteristics of the disease. For the Out- break Study Group. Clin Infect Dis, 2000, 31(3):678-683.
  • 9Ho M, Chen ER, Hsu KH, et al. An epidemic of enterovirus 71 in- fection in Taiwan. Taiwan Enterovirus Epidemic Working Group. N Engl J Med, 1999, 341(13):929-935.
  • 10Chen SC, Chang HL, Yan TR, et al. An eight-year study of epidemio- logic features of enterovirus 71 infection in Taiwan. Am J Trop Med Hyg, 2007, 77(1):188-191.

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