| 传染病动力学常微分方程模型解的大时间性质 |
| |
| 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) |
| |
| 作者姓名： | 陈守信 黄德成 严正香 |
| |
| 作者单位： | 河南大学,数学与信息科学学院,河南,开封,475001;信阳职业技术学院,数学与计算机科学系,河南,信阳,464000 |
| |
| 基金项目： | 河南省教育厅自然科学基金项目 |
| |
| 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.
|
| 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 |
| |
| 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) |
| |
| Authors: | CHEN Shou-xin HUANG De-cheng YAN Zheng-xiang |
| |
| 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. |
| |
| Keywords: | infectious disease ODE model stability and asymptotic stability of non-negative equilibrium solutions existence and uniqueness of global solution |
| 本文献已被 万方数据 等数据库收录！ |
