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Dynamic analysis of an SEIRS model with nonlinear infectivity on complex networks

Dynamic analysis of an SEIRS model with nonlinear infectivity on complex networks
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出处 《International Journal of Biomathematics》 2016年第1期165-189,共25页 生物数学学报(英文版)
关键词 非线性 复杂网络 S模型 传染性 无病平衡点 全局渐近稳定 地方病平衡点 流行病模型 Epidemic dynamics complex network nonlinear infectivity immunization.
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参考文献21

  • 1L. M. Cai and X. Z. Li, Analysis of a SEIV epidemic model with a nonlinear incidence rate, Appl. Math. Model. 33 (2009) 2919-2926.
  • 2X. Chu et al., Epidemic spreading with nonlinear infectivity in weighted scale-free networks, Physica A 390 (2011) 471-481.
  • 3X. Fu et al., Epidemic dynamics on scale-free networks with piecewise linear infec?tivity and immunization, Phys. Rev. E 77 (2008) 036113.
  • 4H. W. Hethcote, The mathematics of infectious diseases, SIAM Rev. 42 (2000) 599- 653.
  • 5W. O. Kermack and A. G. McKendrick, Contributions to the mathematical theory of epidemics. II. The problem of endemicity, Proc. Roy. Soc. London Ser. A 138 (1932) 55-83.
  • 6J. P. LaSalle, The Stability of Dynamical Systems, Regional Conference Series in Applied Mathematics (SIAM, Philadelphia, 1976).
  • 7G. Li and Z. Jin, Global stability of a SEIR epidemic model with infectious force in latent, infected and immune period, Chaos, Solitons Fractals 25 (2005) 1177-1184.
  • 8J. Liu and T. Zhang, Epidemic spreading of an SEIRS model in scale-free networks, Commun. Nonlinear Sci. Numer. Simulat. 16 (2011) 3375-3384.
  • 9R. Olinky and L. Stone, Unexpected epidemic thresholds in heterogeneous networks: The role of disease transmission, Phys. Rev. E 70 (2004) 030902.
  • 10R. Pastor-Satorras and A. Vespignani, Epidemic dynamics and endemic states in complex networks, Phys. Rev. E 63 (2001) 066117.

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