GRAPHICAL USER INTERFACE WITH APPLICATIONS IN SUSCEPTIBLE-INFECTIOUS-SUSCEPTIBLE MODELS

Authors

  • M. ILEA University of Medicine and Pharmacy “Grigore T. Popa” - Iaşi
  • M. TURNEA University of Medicine and Pharmacy “Grigore T. Popa” - Iaşi
  • D. AROTARITEI University of Medicine and Pharmacy “Grigore T. Popa” - Iaşi
  • Marilena POPESCU Secondary School of Balţati, Iaşi

Abstract

Practical significance of understanding the dynamics and evolution of infectious diseases increases continuously in contemporary world. The mathematical study of the dynamics of infectious diseases has a long history. Aim: By incorporating statistical methods and computer-based simulations in dynamic epidemiological models, it could be possible for modeling methods and theoretical analyses to be more realistic and reliable, allowing a more detailed understanding of the rules governing epidemic spreading. Material and methods: To provide the basis for a disease transmission, the population of a region is often divided into various compartments, and the model governing their relation is called the compartmental model. To present all of the information available, a graphical user interface provides icons and visual indicators. The graphical interface shown in this paper is performed using the MATLAB software ver.7.6.0. MATLAB software offers a wide range of techniques by which data can be displayed graphically. The process of data viewing involves a series of operations. To achieve it, I had to make three separate files, one for defining the mathematical model and two for the interface itself. Results: Considering a fixed population, it is observed that the number of susceptible individuals diminishes along with an increase in the number of infectious individuals so that in about ten days the number of individuals infected and susceptible, respectively, has the same value. If the epidemic is not controlled, it will continue for an indefinite period of time. By changing the global parameters specific of the SIS model, a more rapid increase of infectious individuals is noted. Conclusions: Using the graphical user interface shown in this paper helps achieving a much easier interaction with the computer, simplifying the structure of complex instructions by using icons and menus, and, in particular, programs and files are much easier to organize. Some numerical simulations have been presented to illustrate theoretical analysis.

Author Biographies

  • M. ILEA, University of Medicine and Pharmacy “Grigore T. Popa” - Iaşi

    Faculty of Medical Bioengineering
    Department of Biomedical Science

  • M. TURNEA, University of Medicine and Pharmacy “Grigore T. Popa” - Iaşi

    Faculty of Medical Bioengineering
    Department of Biomedical Science

  • D. AROTARITEI, University of Medicine and Pharmacy “Grigore T. Popa” - Iaşi

    Faculty of Medical Bioengineering
    Department of Biomedical Science

References

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2. Anderson R. M, May R. M. Infectious Diseases of Humans: Dynamics and Control , Oxford University Press, Oxford, England, 1991.
3. Ilea M., Turnea M., Arotariţei D., Toma C. M, Modelarea matematică a fenomenului de drogodependenţă , Rev Med Chir Soc Med Nat 2011; 115(2): 493-499.
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5. Hethcote H. W. The mathematics of infectious diseases, SIAM Review 2000; 42: 599–653.
6. De Vries A, Course in Mathematical Biology: Quantitative Modeling with Mathematical and Computational Methods, Society for Industrial Mathematics, SIAM, 2006.

Additional Files

Published

2015-06-30

Issue

Vol. 119 No. 2 (2015): The Medical-Surgical Journal

Section

MEDICAL BIOENGINEERING

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