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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

A probabilistic cellular automata model for the dynamics of a population driven by logistic growth and weak Allee effect

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Autor(es):
Mendonca, J. R. G.
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: Journal of Physics A-Mathematical and Theoretical; v. 51, n. 14 APR 6 2018.
Citações Web of Science: 2
Resumo

We propose and investigate 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 neighbourhood 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 find that the phase transition between them is in the directed percolation universality class of critical behaviour. (AU)

Processo FAPESP: 15/21580-0 - Análise e simulação de passeios aleatórios e processos de exclusão sobre grafos
Beneficiário:José Ricardo Gonçalves de Mendonça
Linha de fomento: Auxílio à Pesquisa - Regular