| 手足口病型传染病的数学模型 |
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| 引用本文： | 黄娜,陈学华.手足口病型传染病的数学模型[J].淮阴师范学院学报(自然科学版),2008,7(4). |
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| 作者姓名： | 黄娜 陈学华 |
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| 作者单位： | 淮阴师范学院,数学系,江苏,淮安,223300 |
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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.
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| 关 键 词： | 传染病 潜伏期 手足口病 平衡点 稳定性 |
The Mathematical Model of Infectious Disease of HFMD Type |
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| HUANG Na,CHEN Xue-hua.The Mathematical Model of Infectious Disease of HFMD Type[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2008,7(4). |
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| Authors: | HUANG Na CHEN Xue-hua |
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| Abstract: | 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. |
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| Keywords: | epidemic incubation period hand foot and mouth disease equilibrium point |
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