Article

A full cellular automaton to simulate predator-prey systems

Authors:

Gianpiero Cattaneo,

Alberto Dennunzio,

Fabio FarinaAuthors Info & Claims

ACRI'06: Proceedings of the 7th international conference on Cellular Automata for Research and Industry

Pages 446 - 451

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

Published: 20 September 2006 Publication History

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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.

References

[1]

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

Crossref

Google Scholar

[2]

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

Crossref

Google Scholar

[3]

B Chopard and M Droz, Cellular automata modelling of physical systems, Cambridge University Press, Cambridge, 1998.

Crossref

Google Scholar

[4]

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

Crossref

Google Scholar

[5]

M W Hirsch and S Smale, Differential equations, dynamical systems, and linear algebra, Accademic Press, NY, 1974.

Google Scholar

[6]

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

Google Scholar

[7]

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

Crossref

Google Scholar

[8]

J.D Murray, Mathematical biology, Springer Verlag, Berlin, 1993.

Google Scholar

[9]

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

Crossref

Google Scholar

[10]

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

Crossref

Google Scholar

[11]

T Antal, M Droz, A Lipowski and G Òdor, Critical behaviour of a lattice preypredator model, Physical Review E 64 (2001), 036118(6).

Crossref

Google Scholar

[12]

S Wolfram, A new kind of science, Wolfram Media, 2002.

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Dennunzio AFormenti EManzoni LPorreca A(2019)Complexity of the dynamics of reaction systemsInformation and Computation10.1016/j.ic.2019.03.006267:C(96-109)Online publication date: 1-Aug-2019
https://dl.acm.org/doi/10.1016/j.ic.2019.03.006
Dennunzio AFormenti EWeiss M(2014)Multidimensional cellular automataTheoretical Computer Science10.1016/j.tcs.2013.11.005516(40-59)Online publication date: 1-Jan-2014
https://dl.acm.org/doi/10.1016/j.tcs.2013.11.005
Dennunzio AFormenti EManzoni L(2012)Computing Issues of Asynchronous CAFundamenta Informaticae10.5555/2594813.2594816120:2(165-180)Online publication date: 1-Apr-2012
https://dl.acm.org/doi/10.5555/2594813.2594816
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Published In

ACRI'06: Proceedings of the 7th international conference on Cellular Automata for Research and Industry

September 2006

731 pages

ISBN:3540409297

Editors:
Samira Yacoubi
Laboratory of Mathematics, Physics and Systems, University of Perpignan, 52, Paul Alduy Avenue, Perpignan, Cedex, France
,
Bastien Chopard
Computer Science Department, University of Geneva, 52, Paul Alduy Avenue, Perpignan, Cedex, Switzerland
,
Stefania Bandini
Research Center on Complex Systems and Artificial Intelligence (CSAI) Department of Computer Science, Systems and Communication (DISCo), University of Milan, Bicocca viale Sarca, 336, Milan, (Italy)

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 20 September 2006

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Dennunzio AFormenti EManzoni LPorreca A(2019)Complexity of the dynamics of reaction systemsInformation and Computation10.1016/j.ic.2019.03.006267:C(96-109)Online publication date: 1-Aug-2019
https://dl.acm.org/doi/10.1016/j.ic.2019.03.006
Dennunzio AFormenti EWeiss M(2014)Multidimensional cellular automataTheoretical Computer Science10.1016/j.tcs.2013.11.005516(40-59)Online publication date: 1-Jan-2014
https://dl.acm.org/doi/10.1016/j.tcs.2013.11.005
Dennunzio AFormenti EManzoni L(2012)Computing Issues of Asynchronous CAFundamenta Informaticae10.5555/2594813.2594816120:2(165-180)Online publication date: 1-Apr-2012
https://dl.acm.org/doi/10.5555/2594813.2594816
Bandman O(2010)Parallel composition of asynchronous cellular automata simulating reaction diffusion processesProceedings of the 9th international conference on Cellular automata for research and industry10.5555/1927432.1927480(395-398)Online publication date: 21-Sep-2010
https://dl.acm.org/doi/10.5555/1927432.1927480

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Persistence in nonautonomous predator-prey systems with infinite delays

One-Dimensional Cellular Automaton Transducers

Permanence and extinction of periodic predator-prey systems in a patchy environment with delay

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