Subcritical behavior in the alternating supercritical Domany-Kinzel dynamics
نویسندگان
چکیده
Cellular automata are widely used to model real-world dynamics. We show using the DomanyKinzel 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. PACS. 02.50.Ga Markov processes – 05.50.+q Lattice theory and statistics (Ising, Potts, etc.) – 87.23.Cc Population dynamics and ecological pattern formation
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