| 连续接种的具有饱和传染率和垂直传染的SIRS传染病模型 |
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| 引用本文： | 徐金瑞,王美娟,张拥军.连续接种的具有饱和传染率和垂直传染的SIRS传染病模型[J].上海理工大学学报,2010,32(4). |
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| 作者姓名： | 徐金瑞 王美娟 张拥军 |
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| 作者单位： | 上海理工大学,理学院,上海,200093 |
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| 摘 要： | 研究了一类具有饱和传染率和垂直传染的SIRS传染病模型,并在此模型中假设对易感者和恢复者的新生儿,以及母体染病但尚未感染的新生儿进行预防接种,得到了模型的无病平衡点和地方性平衡点全局渐近稳定性的充分条件,通过数值模拟验证了结论的正确性.
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| 关 键 词： | SIRS模型 垂直传染 预防接种 饱和传染率 稳定性 |
SIRS epidemical model of continuous vaccination with saturating infect rate and vertical infection |
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| XU Jin-rui,WANG Mei-juan,ZHANG Yong-jun.SIRS epidemical model of continuous vaccination with saturating infect rate and vertical infection[J].Journal of University of Shanghai For Science and Technology,2010,32(4). |
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| Authors: | XU Jin-rui WANG Mei-juan ZHANG Yong-jun |
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| Institution: | XU Jin-rui,WANG Mei-juan,ZHANG Yong-jun (College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China) |
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| Abstract: | An SIRS(susceptible infectives removed susceptible) epidemic model with saturating infect rate and vertical infection was studied.In the model it is assumed that the susceptibles,the recovered and the non-infected newborn,whose mother has been infected,are vaccinated.The sufficient conditions of local and global asymptotic stabilities of the equilibrium were obtained.The conclusion was verified by numerical imitation. |
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| Keywords: | SIRS model vertical infection continuous vaccination saturating infect rate stability |
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