• DocumentCode
    3613149
  • Title

    Numerical Approaching of SIR Epidemic Model for Propagation of Computer Worms

  • Author

    Valdez, J.S. ; Guevara, P. ; Audelo, J. ; Delgado, G.

  • Author_Institution
    Univ. Tecnol. “Emiliano Zapata”, Emiliano Zapata, Mexico
  • Volume
    13
  • Issue
    10
  • fYear
    2015
  • Firstpage
    3452
  • Lastpage
    3460
  • Abstract
    In this paper we analyzed the model susceptible-infected-recovered (SIR); this model is based on differential equations, in this sense it cannot be implemented directly on a computer, in this context as motivation of the study presented, we propose an approximate model based on finite difference equations to achieve a simulation of the epidemic, using for this set theory and cardinality obtaining an iterative numerical method which consists on basics arithmetic operations, in addition, to be an approximate model, it will present an error due to truncation or rounding. At the end of this paper it is presented a case of study developed in SIMULINK of MATLAB software, and the results of the model based on difference equations.
  • Keywords
    approximation theory; differential equations; invasive software; numerical analysis; MATLAB software; SIMULINK software; SIR epidemic model; approximate model; arithmetic operations; computer worm propagation; differential equations; finite difference equations; iterative numerical method; numerical approaching; susceptible infected recovered; Analytical models; Biological system modeling; Computational modeling; Context modeling; Erbium; Mathematical model; Numerical models; Algorithm; Approaching; Computer worm; Epidemic; Simulation;
  • fLanguage
    English
  • Journal_Title
    Latin America Transactions, IEEE (Revista IEEE America Latina)
  • Publisher
    ieee
  • ISSN
    1548-0992
  • Type

    jour

  • DOI
    10.1109/TLA.2015.7387254
  • Filename
    7387254