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一类带有确定隔离期的传染病模型的稳定性分析 被引量:14

An Epidemic Model with Certain Period of Quarantine
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摘要 讨论了一类带有确定隔离期的SIQS传染病模型,确定了各类平衡点存在的阈值条件,通过线性化和构造Liapunov泛函,得到了各类平衡点局部稳定和全局稳定的条件。 An SIQS epidemic model with certain period of quarantine is discussed in this paper, the conditions and threshold to the existence of various equilibriums are established. By means of linearization and constructing Liapunov functional, the conditions about the locally asymptotic stability and the globally asymptotic stability are obtained.
出处 《空军工程大学学报(自然科学版)》 CSCD 2003年第3期83-86,共4页 Journal of Air Force Engineering University(Natural Science Edition)
基金 国家自然科学基金资助项目(19971066)
关键词 传染病模型 阈值 平衡点 稳定性 epidemic model threshold equilibriums stability
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参考文献6

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