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一类受媒体报道影响的SEIS传染病模型的定性分析 被引量:8

An epidemic model with saturated media/psychological impact
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摘要 媒体报道对传染病的感染率有着重要的影响,为探究这种影响建立了一类受媒体报道影响的SEIS模型。定义了模型的基本再生数R_0。当R_0> 1时,得到了地方疾病平衡点是全局渐近稳定的条件。最后得出结论:媒体报道对传染病的影响决定于报道信息的有效传播率。 Media has an important influence on the incidence rate of infectious disease.A SEIS epidemic model is formulated and analyzed to describe the saturated media/psychology impact.And the basic reproductive number is defined in the paper.Conditions of global asymptotic stability of the positive equilibrium are obtained when R 0>1.In the end,the conclusion that media/psychological impact depends on information′s effective transmission rates is drawn.
作者 邢伟 高晋芳 颜七笙 周其华 杨志辉 XING Wei;GAO Jinfang;YAN Qisheng;ZHOU Qihua;YANG Zhihui(College of Science,East China University of Technology,Nanchang 330013,China;Institute of Technology,East China Jiaotong University,Nanchang 330013,China)
出处 《西北大学学报(自然科学版)》 CAS CSCD 北大核心 2018年第5期639-643,共5页 Journal of Northwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(11661005 71762001) 江西省教育厅科学技术研究基金资助项目(GJJ170474)
关键词 非线性传染率 SEIS模型 基本再生数 全局渐近稳定 media SEIS model basic reproduction number global asymptotic stability
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