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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.)

Approximate probabilistic cellular automata for the dynamics of single-species populations under discrete logisticlike growth with and without weak Allee effects

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Autor(es):
Mendonca, J. Ricardo G. ; Gevorgyan, Yeva
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Physical Review E; v. 95, n. 5 MAY 18 2017.
Citações Web of Science: 1
Resumo

We investigate one-dimensional elementary probabilistic cellular automata (PCA) whose dynamics in first-order mean-field approximation yields discrete logisticlike growth models for a single-species unstructured population with nonoverlapping generations. Beginning with a general six-parameter model, we find constraints on the transition probabilities of the PCA that guarantee that the ensuing approximations make sense in terms of population dynamics and classify the valid combinations thereof. Several possible models display a negative cubic term that can be interpreted as a weak Allee factor. We also investigate the conditions under which a one-parameter PCA derived from the more general six-parameter model can generate valid population growth dynamics. Numerical simulations illustrate the behavior of some of the PCA found. (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