Time correlation function in systems with two coexisting biological species
Authored by E Arashiro, A L Rodrigues, Oliveira M J de, T Tome
Date Published: 2008
DOI: 10.1103/physreve.77.061909
Sponsors:
Brazilian National Council for Scientific and Technological Development (CNPq)
São Paulo Research Foundation (FAPESP)
Platforms:
No platforms listed
Model Documentation:
ODD
Mathematical description
Model Code URLs:
Model code not found
Abstract
We study a stochastic lattice model describing the dynamics of
coexistence of two interacting biological species. The model comprehends
the local processes of birth, death, and diffusion of individuals of
each species and is grounded on interaction of the predator-prey type.
The species coexistence can be of two types: With self-sustained coupled
time oscillations of population densities and without oscillations. We
perform numerical simulations of the model on a square lattice and
analyze the temporal behavior of each species by computing the time
correlation functions as well as the spectral densities. This analysis
provides an appropriate characterization of the different types of
coexistence. It is also used to examine linked population cycles in
nature and in experiment.
Tags
Simulation
individual-based models
Dynamics
population
oscillations
Pattern-formation
Lotka-volterra model
Prey cellular-automaton
Spatial instabilities
Lattice