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Global stability of an SEIR epidemic model with vaccination 被引量：2

Global stability of an SEIR epidemic model with vaccination
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作者 Lili Wang Rui Xu
机构地区 Institute of Applied MathematicsShijiazhuang Mechanical Engineering College
出处 《International Journal of Biomathematics》 2016年第6期35-57,共23页 生物数学学报（英文版）
基金 This work was supported by the National Natural Science Foundation of China （11371368）, the Nature Science Foundation for Young Scientists of Hebei Province, China （A2013506012） and Basic Courses Department of Mechanical Engineering College Foundation （JCKY1507）.
关键词 全局稳定性 疫苗接种 流行病模型 无病平衡点 全局渐近稳定 传染病模型 数学分析 复合矩阵 Global stability SEIR epidemic model vaccination compound matrices.
分类号 O175.1 [理学—基础数学] Q141 [生物学—生态学]
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参考文献18

  • 1M. Y. Li, J. R. Graef, L. C. Wang and J. Karsai, Global dynamics of a SEIR model with a varying total population size, Math. Biosci. Engrg. 160 (1999) 191-213.
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  • 5R. H. Martin Jr., Logarithmic norms and projections applied to linear differential systems, J. Math. Anal. Appl. 45 (1974) 432-454.
  • 6A. B. McLean and S. M. Blower, Imperfect vaccines and herd immunity to HIV, Proc. Roy. Soc. B 253 (1993) 9-13.
  • 7P. van den Driessche and J. Watmough, A simple SIS epidemic model with a backward bifurcation, J. Math. Biol. 40 (2000) 525-540.
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  • 9R. Xu and Y. K. Du, A delayed SIR epidemic model with saturation incidence and a constant infectious period, J. Appl. Math. Comput. 35 (2011) 229-250.
  • 10Y. P. Yang, Y. N. Xiao and J. H. Wu, Pulse HIV vaccination: Feasibility for virus eradication and optimal vaccination schedule, Bull. Math. Biol. 75 (2013) 725-751.

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International Journal of Biomathematics
2016年 第6期

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