Subcritical behavior in the alternating supercritical Domany-Kinzel dynamics
arXiv:cond-mat/0407745 · doi:10.1140/epjb/e2004-00279-5
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.
8 figures
References in corpus (7)
- New paradoxical games based on Brownian ratchets
- Nature of phase transitions in a probabilistic cellular automaton with two absorbing states
- Discrete--time ratchets, the Fokker--Planck equation and Parrondo's paradox
- Series expansions of the percolation probability for directed square and honeycomb lattices
- Phase diagram of a probabilistic cellular automaton with three-site interactions
- Quasi-stationary distributions for the Domany-Kinzel stochastic cellular automaton
- Survival Probabilities for Discrete Time Models in One Dimension