| 传染病的数学模型及其动力学特征研究 |
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| 引用本文： | 陈大学.传染病的数学模型及其动力学特征研究[J].现代医药卫生,2011,27(24):3687-3689. |
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| 作者姓名： | 陈大学 |
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| 作者单位： | 湖南工程学院理学院,湖南湘潭,411104 |
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| 摘 要： | 目的:探讨几类传染病的传播与流行规律.方法:利用微分方程理论建立传染病的数学模型并对模型进行动力学分析.结果:建立了传染病的几个数学模型,并获得了模型的一些动力学特征.结论:某些传染病存在区分传染病是否会流行的阈值.当有关参数值不超过该阈值时,传染病不会流行.当有关参数值大于该阈值时,传染病会流行.
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| 关 键 词： | 传染病 数学模型 动力学特征 |
Research on mathematical models of infectious diseases and their dynamic characters |
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| CHEN Da-xue.Research on mathematical models of infectious diseases and their dynamic characters[J].Modern Medicine Health,2011,27(24):3687-3689. |
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| Authors: | CHEN Da-xue |
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| Institution: | CHEN Da-xue(College of Science,Hunan Institute of Engineering,Xiangtan,Hunan 411101,China) |
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| Abstract: | Objective:To investigate the spread regularities of several types of infectious diseases.Methods:The mathematical models of infectious diseases were established and performed the analysis on the dynamic characters of the models by means of the theory of differential equations.Results:Several mathematical models of infectious diseases were established and some dynamic characters of the models were obtained.Conclusion:For certain infectious diseases,there exists a threshold level which distinguishes whether t... |
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| Keywords: | Infectious disease Mathematical model Dynamic character |
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