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On the modeling of epidemics under the influence of risk perception

Author

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  • S. De Lillo

    (Department of Mathematics and Computer Science, University of Perugia, via Vanvitelli 1, 06123 Perugia, Italy2Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, Italy)

  • G. Fioriti

    (Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, Italy3Department of Mathematics and Computer Science Ulisse Dini, University of Florence, viale Morgagni 67/A, 50134 Florence, Italy)

  • M. L. Prioriello

    (Department of Mathematics and Computer Science, Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, The Netherlands5Department of Mathematics, Physics and Computer Science, University of Modena and Reggio Emilia, via G. Campi 213/b, 41125 Modena, Italy)

Abstract

An epidemic spreading model is presented in the framework of the kinetic theory of active particles. The model is characterized by the influence of risk perception which can reduce the diffusion of infection. The evolution of the system is modeled through nonlinear interactions, whose output is described by stochastic games. The results of numerical simulations are discussed for different initial conditions.

Suggested Citation

  • S. De Lillo & G. Fioriti & M. L. Prioriello, 2017. "On the modeling of epidemics under the influence of risk perception," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(04), pages 1-16, April.
  • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:04:n:s0129183117500516
    DOI: 10.1142/S0129183117500516
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    Cited by:

    1. De Lillo, Silvana & Dolfin, Marina & Fioriti, Gioia, 2018. "“Follow the leader” learning dynamics on networks," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 316-328.

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