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王霞, 郭红涛. 一类带有饱和感染率的时滞SIR传染病模型研究(英文)[J]. 信阳师范学院学报(自然科学版), 2011, 24(4): 421-424.
引用本文: 王霞, 郭红涛. 一类带有饱和感染率的时滞SIR传染病模型研究(英文)[J]. 信阳师范学院学报(自然科学版), 2011, 24(4): 421-424.
shu
WANG Xia, GUO Hong-tao. Studies on a Delayed SIR Epidemic Model with Saturated Rate[J]. Journal of Xinyang Normal University (Natural Science Edition), 2011, 24(4): 421-424.
Citation: WANG Xia, GUO Hong-tao. Studies on a Delayed SIR Epidemic Model with Saturated Rate[J]. Journal of Xinyang Normal University (Natural Science Edition), 2011, 24(4): 421-424.
shu

一类带有饱和感染率的时滞SIR传染病模型研究(英文)

Studies on a Delayed SIR Epidemic Model with Saturated Rate

    摘要
  • 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.

     

    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.

     

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