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A Full Cellular Automaton to Simulate Predator-Prey Systems

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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

A Cellular Automaton (CA) describing a predator–prey dynamics is proposed. This model is fully local, i.e., without any “spurious” Monte Carlo step during the movement phase. A particular attention has been addressed to the comparison of the obtained simulations with the discrete version of the Lotka–Volterra equations.

This work has been supported by the MIUR PRIN project “Formal Languages and Automata: Mathematical and Applicative Aspects”.

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References

  1. Antal, T., Droz, M.: Phase transitions and oscillations in a lattice prey-predator model. Physical Review E 63(11), 056119 (2001)

    Article  Google Scholar 

  2. Boccara, N., Roblin, O., Roger, M.: Automata network predator-prey model with pursuit and evasion. Physical Review E 50, 4531–4541 (1994)

    Article  Google Scholar 

  3. Chopard, B., Droz, M.: Cellular automata modelling of physical systems. Cambridge University Press, Cambridge (1998)

    Book  Google Scholar 

  4. Droz, M., Pekalski, A.: Coexistence in a prey-predator system. Physical Review E 63(5), 051909 (2001)

    Article  Google Scholar 

  5. Hirsch, M.W., Smale, S.: Differential equations, dynamical systems, and linear algebra. Academic Press, NY (1974)

    MATH  Google Scholar 

  6. Kovalik, M., Lipowski, A., Ferreira, A.L.: Oscillations and dynamics in a two-dimensional prey-predator system. Physical Review E 66(5), 066107 (2002)

    Article  Google Scholar 

  7. Lipowski, A.: Oscillatory behaviour in a lattice prey-predator system. Physical Review E 60, 5179–5184 (1999)

    Article  Google Scholar 

  8. Murray, J.D.: Mathematical biology. Springer, Berlin (1993)

    Book  MATH  Google Scholar 

  9. Satulovsky, J.E., Tomè, T.: Stochastic lattice gas model for a predator-prey system. Physical Review E 49, 5073–5079 (1994)

    Article  Google Scholar 

  10. Szabò, G., Sznaider, G.A.: Phase transition and selection in a four-species cyclic predator-prey model. Physical Review E 69(5), 031911 (2004)

    Article  Google Scholar 

  11. Antal, T., Droz, M., Lipowski, A., Òdor, G.: Critical behaviour of a lattice prey-predator model. Physical Review E 64(6), 036118 (2001)

    Article  Google Scholar 

  12. Wolfram, S.: A new kind of science. Wolfram Media (2002)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Informatica, Sistemistica e Comunicazione, Università degli Studi di Milano–Bicocca, Via Bicocca degli Arcimboldi 8, 20126, Milano, Italy

    Gianpiero Cattaneo, Alberto Dennunzio & Fabio Farina

Authors
  1. Gianpiero Cattaneo
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  2. Alberto Dennunzio
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  3. Fabio Farina
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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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Cattaneo, G., Dennunzio, A., Farina, F. (2006). A Full Cellular Automaton to Simulate Predator-Prey Systems. 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_52

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  • DOI: https://doi.org/10.1007/11861201_52

  • 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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