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The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media Impact

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  • Zhi-Long He
  • Lin-Fei Nie

Abstract

We propose a novel SIR epidemic dynamical control model with media impact, where the state dependent pulse vaccination and medication treatment control strategies are being introduced to prevent the spread of disease at different control threshold values. By using the geometry theory of differential equation and method of successor function, the existence of positive order-1 periodic solution is studied. Further, some sufficient conditions of the orbitally asymptotical stability for positive order-1 periodic solution are given by the analog Poincaré criterion. Furthermore, numerical simulations are carried to illustrate the feasibility of our main results presented here.

Suggested Citation

  • Zhi-Long He & Lin-Fei Nie, 2015. "The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media Impact," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-12, June.
    • Handle: RePEc:hin:jnddns:532494
    DOI: 10.1155/2015/532494
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    Cited by:

    1. De la Sen, M. & Alonso-Quesada, S. & Ibeas, A. & Nistal, R., 2019. "On an SEIADR epidemic model with vaccination, treatment and dead-infectious corpses removal controls," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 163(C), pages 47-79.

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