Article ID Journal Published Year Pages File Type
5102657 Physica A: Statistical Mechanics and its Applications 2018 17 Pages PDF
Abstract
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.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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