| 传染病动力学常微分方程模型解的大时间性质 |
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| 引用本文： | 陈守信,黄德成,严正香.传染病动力学常微分方程模型解的大时间性质[J].河南大学学报(自然科学版),2009,39(6). |
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| 作者姓名： | 陈守信 黄德成 严正香 |
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| 作者单位： | 1. 河南大学,数学与信息科学学院,河南,开封,475001
2. 信阳职业技术学院,数学与计算机科学系,河南,信阳,464000 |
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| 基金项目： | 河南省教育厅自然科学基金项目 |
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| 摘 要： | 研究了传染病常微模型三次系统解的非负性、整体解的存在唯一性,并利用Liapunov函数法和霍维茨准则等研究了非负平衡解的稳定性及渐近稳定性.
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| 关 键 词： | 传染病的常微模型 整体解存在唯一性 平衡解的稳定性和渐近稳定性 |
The Long-Time Behavior of Solutions to Infectious Disease Dynamics of the Ordinary Differential Equation Model |
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| CHEN Shou-xin,HUANG De-cheng,YAN Zheng-xiang.The Long-Time Behavior of Solutions to Infectious Disease Dynamics of the Ordinary Differential Equation Model[J].Journal of Henan University(Natural Science),2009,39(6). |
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| Authors: | CHEN Shou-xin HUANG De-cheng YAN Zheng-xiang |
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| Abstract: | This paper mainly discussed the non-negativity and the global existence of solution to infectious disease model. Moreover, it applied Liapunov function and the Routh-Hurwitz criterion to the study of the stability and asymptotic stability of the non-negative equilibrium solutions to the ODE systems. The conclusions can guide research in the prediction and control of infectious disease. |
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| Keywords: | infectious disease ODE model stability and asymptotic stability of non-negative equilibrium solutions existence and uniqueness of global solution |
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