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A Model Based on Cellular Automata to Simulate Epidemic Diseases

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Cellular Automata (ACRI 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4173))

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Abstract

The main goal of this work is to introduce a mathematical model, based on two-dimensional cellular automata, to simulate epidemic diseases. Specifically, each cell stands for a square portion of the ground where the epidemic is spreading, and its state is given by the fractions of susceptible, infected and recovered individuals.

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References

  1. Ahmed, E., Agiza, H.N.: On modeling epidemics. Including latency, incubation and variable susceptibility, Physica A 253, 247–352 (1998)

    Google Scholar 

  2. Beauchemin, C., Samuel, J., Tuszynski, J.: A simple cellular automaton model for influenza A viral infections. J. Theor. Biol 232, 223–234 (2005)

    Article  MathSciNet  Google Scholar 

  3. Boccara, N., Cheong, K.: Critical behaviour of a probabilistic automata network SIS model for the spread of an infectious disease in a population of moving individuals. J. Phys A-Math. Gen. 26, 3707–3717 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  4. Boccara, N., Cheong, K., Oram, M.: A probabilistic automata network epidemic model with births and deaths exhibiting cyclic behaviour. J. Phys A-Math. Gen. 27, 1585–1597 (1994)

    Article  MATH  Google Scholar 

  5. Fuks, H., Lawniczak, A.T.: Individual-based lattice model for spatial spread of epidemics. Discrete Dyn. Nat. Soc. 6, 191–200 (2001)

    Article  MATH  Google Scholar 

  6. Fuentes, M.A., Kuperman, M.N.: Cellular automata and epidemiological models with spatial dependence. Physica A 267, 471–486 (1999)

    Article  Google Scholar 

  7. Kermack, W.O., McKendrick, A.G.: Contributions to the mathematical theory of epidemics, part I. Proc. Roy. Soc. Edin. A 115, 700–721 (1927)

    Article  Google Scholar 

  8. Quan-Xing, L., Zhen, J.: Cellular automata modelling of SEIRS. Chinese Phys 14, 1370–1377 (2005)

    Article  Google Scholar 

  9. Ramani, A., Carstea, A.S., Willox, R., Grammaticos, G.: Oscillating epidemics: a discrete-time model. Physica A 333, 278–292 (2004)

    Article  MathSciNet  Google Scholar 

  10. Rousseau, G., Giorgini, G., Livi, R., Chaté, H.: Dynamical phases in a cellular automaton model for epidemic propagation. Physica D 103, 554–563 (1997)

    Article  MATH  Google Scholar 

  11. Satsuma, J., Willox, R., Ramani, A., Grammaticos, B., Carstea, A.S.: Extending the SIR epidemic model. Physica A 336, 369–375 (2004)

    Article  Google Scholar 

  12. Sirakoulis, G.C., Karafyllidis, I., Thanailakis, A.: A cellular automaton model for the effects of population movement and vaccination on epidemic propagation. Ecol. Model. 133, 209–223 (2000)

    Article  Google Scholar 

  13. Willox, R., Grammaticos, B., Carstea, A.S., Ramani, A.: Epidemic dynamics: discrete-time and cellular automaton models. Physica A 328, 13–22 (2003)

    Article  MATH  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, E.P.S. de Ávila, Universidad de Salamanca, C/Hornos Caleros 50, 05003, Ávila, España

    A. Martín del Rey

  2. Department of Applied Mathematics, Universidad de Salamanca,  

    S. Hoya White

  3. Department of Applied Mathematics, E.P.S. de Zamora, Universidad de Salamanca, Avda. Requejo 33, 49022, Zamora, España

    G. Rodríguez Sánchez

Authors
  1. A. Martín del Rey
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  2. S. Hoya White
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  3. G. Rodríguez Sánchez
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Editor information

Editors and Affiliations

  1. Laboratory of Mathematics, Physics and Systems, University of Perpignan, 52, Paul Alduy Avenue, 66860, Perpignan, Cedex, France

    Samira El Yacoubi

  2. Computer Science Department, University of Geneva, Switzerland

    Bastien Chopard

  3. Research Center on Complex Systems and Artificial Intelligence (CSAI) Department of Computer Science, Systems and Communication (DISCo), University of Milan, Bicocca viale Sarca, 336, 20126, Milan, (Italy)

    Stefania Bandini

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© 2006 Springer-Verlag Berlin Heidelberg

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del Rey, A.M., White, S.H., Sánchez, G.R. (2006). A Model Based on Cellular Automata to Simulate Epidemic Diseases. In: El Yacoubi, S., Chopard, B., Bandini, S. (eds) Cellular Automata. ACRI 2006. Lecture Notes in Computer Science, vol 4173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11861201_36

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  • DOI: https://doi.org/10.1007/11861201_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40929-8

  • Online ISBN: 978-3-540-40932-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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