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潜伏期和染病期均传染且具脉冲接种的传染病模型
作者单位:;1.信阳师范学院数学与统计学院;2.中国人民公安大学信息技术与网络安全学院
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.

关 键 词:潜伏期  脉冲接种  垂直传染  稳定性

A Kind of Epidemic Model with Infections in Latent Period and Infective Period and Impulsive Vaccination
Affiliation:,College of Mathematics and Statistics,Xinyang Normal University,School of Information Technology and Cyber Security,People's Public Security University of China
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.
Keywords:latent period  pulse vaccination  vertical transmission  stability
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