Stochastic dynamics for two biological species and ecological niches

Autor(es)

Ruziska, Flavia M. ^[1] ; Arashiro, Everaldo ^[2] ; Tome, Tania ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis, Rua Matao 1371, BR-05508090 Sao Paulo, SP - Brazil

^[2] Univ Fed Rio Grande, Inst Matemat Estat & Fis, Av Italia Km 8, BR-96203900 Rio Grande, RS - Brazil

• Tipo de documento: Artigo Científico
• Fonte: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 489, p. 56-64, JAN 1 2018.
• Citações Web of Science: 0

Resumo

We consider an ecological system in which two species interact with two niches. To this end we introduce a stochastic model with four states. Our analysis is founded in three approaches: Monte Carlo simulations of the model on a square lattice, mean-field approximation, and birth and death master equation. From this last approach we obtain a description in terms of Langevin equations which show in an explicit way the role of noise in population biology. We focus mainly on the description of time oscillations of the species population and the alternating dominance between them. The model treated here may provide insights on these properties. (C) 2017 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 12/22929-9 - Dinâmica estocástica de populações biológicas
• Beneficiário: Flávia Mayumi Ruziska Hirata
• Modalidade de apoio: Bolsas no Brasil - Doutorado Direto