一类SARS传染病自治动力系统的稳定性分析

基金项目: 武警部队科研基金资助项目(WKH2004-7)

Analysis on the Stability of an Autonomous Dynamics System for SARS Epidemic

Basic Department, Medical College of Chinese People's Armed Police, Tianjin 300162, P. R. China

摘要: 在K-M传染病模型的基础上,进一步考虑易感人群的密度制约以及患病者类的死亡与治愈率等因素,建立了描述SARS传染病的一个新的动力学模型,分析了该模型平衡点的稳定性态．证明了疾病消除平衡点在一定条件下是全局渐进稳定的,而地方病平衡点不是渐近稳定的．得到了该传染病系统在适当条件下为永久持续生存的结果．
- 传染病模型 /
- SARS传染病 /
- 平衡点 /
- 渐近稳定性
Abstract: An extended dynamic model for SARS epidemic was deduced on the basis of the K-M infection model with taking the density constraint of susceptible population and the cure and death rate of patients into consideration. It is shown that the infection-free equilibrium is global asymptotic stability for under given conditions, and endemic equilibrium is not asymptotic stability. It comes to the conclusion that the epidemic system is permanent persistence existence under appropriate conditions.
- infection model /
- SARS epidemic /
- equilibrium point /
- asymptotic stability

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