Stochastic dynamics for two biological species and ecological niches
| Autor: | Tânia Tomé, Flávia M. Ruziska, Everaldo Arashiro |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
education.field_of_study Stochastic modelling Monte Carlo method Population Population biology Condensed Matter Physics 01 natural sciences Square lattice Birth–death process 010305 fluids & plasmas 0103 physical sciences Master equation Quantitative Biology::Populations and Evolution Dominance (ecology) Statistical physics 010306 general physics education Mathematics |
| Zdroj: | Physica A: Statistical Mechanics and its Applications. 489:56-64 |
| ISSN: | 0378-4371 |
| DOI: | 10.1016/j.physa.2017.07.016 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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