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Subcritical behavior in the alternating supercritical Domany-Kinzel dynamics

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  • N. Masuda
  • N. Konno

Abstract

Cellular automata are widely used to model real-world dynamics. We show using the Domany-Kinzel probabilistic cellular automata that alternating two supercritical dynamics can result in subcritical dynamics in which the population dies out. The analysis of the original and reduced models reveals generality of this paradoxical behavior, which suggests that autonomous or man-made periodic or random environmental changes can cause extinction in otherwise safe population dynamics. Our model also realizes another scenario for the Parrondo’s paradox to occur, namely, spatial extensions. Copyright Springer-Verlag Berlin/Heidelberg 2004

Suggested Citation

  • N. Masuda & N. Konno, 2004. "Subcritical behavior in the alternating supercritical Domany-Kinzel dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 40(3), pages 313-319, August.
    • Handle: RePEc:spr:eurphb:v:40:y:2004:i:3:p:313-319
    DOI: 10.1140/epjb/e2004-00279-5
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    Cited by:

    1. Wang, Lu & Zhu, Yong-fei & Ye, Ye & Meng, Rui & Xie, Neng-gang, 2012. "The coupling effect of the process sequence and the parity of the initial capital on Parrondo’s games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5197-5207.
    2. Cheong, Kang Hao & Soo, Wayne Wah Ming, 2013. "Construction of novel stochastic matrices for analysis of Parrondo’s paradox," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4727-4738.
    3. Soo, Wayne Wah Ming & Cheong, Kang Hao, 2013. "Parrondo’s paradox and complementary Parrondo processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(1), pages 17-26.
    4. Ye, Ye & Hang, Xiao Rong & Koh, Jin Ming & Miszczak, Jarosław Adam & Cheong, Kang Hao & Xie, Neng-gang, 2020. "Passive network evolution promotes group welfare in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    5. Xie, Neng-gang & Chen, Yun & Ye, Ye & Xu, Gang & Wang, Lin-gang & Wang, Chao, 2011. "Theoretical analysis and numerical simulation of Parrondo’s paradox game in space," Chaos, Solitons & Fractals, Elsevier, vol. 44(6), pages 401-414.
    6. Zhu, Yong-fei & Xie, Neng-gang & Ye, Ye & Peng, Fa-rui, 2011. "Quantum game interpretation for a special case of Parrondo’s paradox," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 579-586.
    7. Ejlali, Nasim & Pezeshk, Hamid & Chaubey, Yogendra P. & Sadeghi, Mehdi & Ebrahimi, Ali & Nowzari-Dalini, Abbas, 2020. "Parrondo’s paradox for games with three players and its potential application in combination therapy for type II diabetes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    8. Wang, Lu & Xie, Neng-gang & Zhu, Yong-fei & Ye, Ye & Meng, Rui, 2011. "Parity effect of the initial capital based on Parrondo’s games and the quantum interpretation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4535-4542.

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