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The domain of attraction for the endemic equilibrium of an SIRS epidemic model

Author

Listed:
  • Zhang, Zhonghua
  • Wu, Jianhua
  • Suo, Yaohong
  • Song, Xinyu

Abstract

In this paper, a new method is adopted to construct a Lyapunov function for the endemic equilibrium of the J. Mena-Lorca and H.W. Hothcote’s SIRS epidemic model with bilinear incidence and constant recruitment. On the basis of the Lyapunov function, the domain of the attraction of the endemic equilibrium is estimated by solving an LMI optimization problem with multivariate polynomial objective function and constraints.

Suggested Citation

  • Zhang, Zhonghua & Wu, Jianhua & Suo, Yaohong & Song, Xinyu, 2011. "The domain of attraction for the endemic equilibrium of an SIRS epidemic model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(9), pages 1697-1706.
    • Handle: RePEc:eee:matcom:v:81:y:2011:i:9:p:1697-1706
    DOI: 10.1016/j.matcom.2010.08.012
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    References listed on IDEAS

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    1. Aiello, O.E. & da Silva, M.A.A., 2003. "New approach to dynamical Monte Carlo methods: application to an epidemic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(3), pages 525-534.
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    Cited by:

    1. Junhai Ma & Lijian Sun & Xueli Zhan, 2017. "Study on Triopoly Dynamic Game Model Based on Different Demand Forecast Methods in the Market," Complexity, Hindawi, vol. 2017, pages 1-12, July.
    2. Shamsi G., N. & Ali Torabi, S. & Shakouri G., H., 2018. "An option contract for vaccine procurement using the SIR epidemic model," European Journal of Operational Research, Elsevier, vol. 267(3), pages 1122-1140.

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