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讨论一个受接种疫苗和媒体报道影响的SEIR模型,得到决定疾病是否爆发的阈值R0和RC,并应用RouthHurwitz准则分析相应的特征方程,讨论了当R0<1时无病平衡点是局部稳定的,当1
Infectious disease prevention and control is still the focus of today′s society, a SEIR epidemic model with saturated media and vaccination was investigated. The thresholds data R0 and RCwere obtained, which decide the existence of an infectious disease. By using the Routh-Hurwitz criterion to analyze the corresponding characteristic equation, when R0< 1 disease free equilibrium is locally asymptotically stability, when 1 < R0≤ em Ic+βIc/ρ1+ μ, the endemic equilibrium P1 is locally asymptotically stability, when RC> 1, the endemic equilibrium P2 is locally asymptotically stability, and it is global asymptotically stability after the application of Lyapunov function. The result of maple numerical simulation validated the result, which improve and extend the corresponding results in the literature.
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基本信息:
DOI：
中图分类号:O175
引用信息:
[1]曹磊,周文,张道祥.一类受接种疫苗和媒体报道影响的传染病模型[J],2014,13(04):77-81.
基金信息:
国家自然科学基金项目(11302002);; 安徽省高校优秀青年重点项目(2011SQRLO222D)