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一类有被动免疫的流行病模型研究 被引量:13

Stability of Some Epidemic Models with Passive Immunity
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摘要 对一类具有被动免疫的流行病模型进行了定性分析和讨论 .得到了这些模型的基本再生数 R0 ,对有些模型得到了地方病平衡点的全局稳定性 .并且在 MSIR模型中还考虑了接种 . Some epidemic models with passive immunity for the spread of infection diseases in populations have been analyzed mathematically and discussed. The basic repouduction number R\-0 is obtained for these models, global asymptotical stability have been got for some models. Vaccinations are considered on the MSIR model.
作者 娄洁 马知恩
出处 《数学物理学报(A辑)》 CSCD 北大核心 2003年第3期357-368,共12页 Acta Mathematica Scientia
基金 国家自然科学基金资助项目 (1 9971 0 66)
关键词 基本再生数 传染病 稳定性 接种 扰动理论 模型 被动免疫 Basic reproduction number Infections disease Stability Vaccinate Perturbation theory.
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参考文献10

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