一类带有饱和感染率的时滞SIR传染病模型研究(英文)

基金项目:

The National Natural Science Foundation of China(10771179)

the Scientific and Technological Project of Henan Province(092102210070)

the Youth Science Foundations of Xinyang Normal University(20100070)

Studies on a Delayed SIR Epidemic Model with Saturated Rate

College of Mathematics and Information Science,Xinyang Normal University,Xinyang 464000,China

摘要: 介绍一类带有饱和感染率的时滞SIR传染病模型,通过构造Lyapunov函数,研究了该模型平衡点的局部稳定性以及时滞对基本再生数的影响.
- SIR传染病模型 /
- 时滞 /
- 平衡点 /
- 稳定性 /
- Lyapunov函数
Abstract: A delayed SIR epidemic model with saturated rate is introduced.The local stabilities of its equilibria as well as the effects of delay on the reproduction number of the model are studied by constructing Lyapunov function.
- SIR epidemic model /
- delay /
- equilibrium /
- stability /
- Lyapunov function.

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