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• W2766705414 abstract "We investigate the critical behaviour of a one-parameter probabilistic mixture of one-dimensional elementary cellular automata under the guise of a model for the dynamics of a single-species unstructured population with nonoverlapping generations in which individuals have smaller probability of reproducing and surviving in a crowded neighborhood but also suffer from isolation and dispersal. Remarkably, the first-order mean field approximation to the dynamics of the model yields a cubic map containing terms representing both logistic and weak Allee effects. The model has a single absorbing state devoid of individuals, but depending on the reproduction and survival probabilities can achieve a stable population. We determine the critical probability separating these two phases and characterise the phase transition between them by finite-size scaling analysis of Monte Carlo data. The phase transition belongs to the directed percolation universality class of critical behaviour." @default.
• W2766705414 created "2017-11-10" @default.
• W2766705414 creator A5024887808 @default.
• W2766705414 date "2017-10-31" @default.
• W2766705414 modified "2023-09-27" @default.
• W2766705414 title "Critical behaviour of a probabilistic cellular automaton model for the dynamics of a population driven by logistic growth and weak Allee effect" @default.
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• W2766705414 hasPublicationYear "2017" @default.
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