杨金根, 王铁英, 张萍. 潜伏期和染病期均传染且具脉冲接种的传染病模型[J]. 信阳师范学院学报(自然科学版), 2017, 30(3): 345-348. DOI: 10.3969/j.issn.1003-0972.2017.03.001
引用本文: 杨金根, 王铁英, 张萍. 潜伏期和染病期均传染且具脉冲接种的传染病模型[J]. 信阳师范学院学报(自然科学版), 2017, 30(3): 345-348. DOI: 10.3969/j.issn.1003-0972.2017.03.001
YANG Jingen, WANG Tieying, ZHANG Ping. A Kind of Epidemic Model with Infections in Latent Period and Infective Period and Impulsive Vaccination[J]. Journal of Xinyang Normal University (Natural Science Edition), 2017, 30(3): 345-348. DOI: 10.3969/j.issn.1003-0972.2017.03.001
Citation: YANG Jingen, WANG Tieying, ZHANG Ping. A Kind of Epidemic Model with Infections in Latent Period and Infective Period and Impulsive Vaccination[J]. Journal of Xinyang Normal University (Natural Science Edition), 2017, 30(3): 345-348. DOI: 10.3969/j.issn.1003-0972.2017.03.001

潜伏期和染病期均传染且具脉冲接种的传染病模型

A Kind of Epidemic Model with Infections in Latent Period and Infective Period and Impulsive Vaccination

  • 摘要: 研究了一类潜伏期和染病期均传染且具脉冲接种的SEIRS传染病模型,考虑了标准发生率和垂直传染,讨论了无病周期解的存在性和全局稳定性,揭示了潜伏期和染病期传染对流行病发展趋势的共同影响.

     

    Abstract: A kind of epidemic SEIRS model with infections in latent period and infective period and impulsive vaccination was studied, the standard incidence and the vertical transmission were considered in the model. The existence and the global stability of the disease-free equilibriums were discussed, the influence of the latent period and infected period on the epidemic was exposed.

     

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