title: Time correlation function in systems with two coexisting biological species.
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.
authors.affiliation: Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, São Paulo, São Paulo, Brazil.
authors.forename: E
authors.initials: E
authors.lastname: Arashiro
authors.forename: A L
authors.initials: AL
authors.lastname: Rodrigues
authors.forename: M J
authors.initials: MJ
authors.lastname: de Oliveira
authors.forename: T
authors.initials: T
authors.lastname: Tomé
mesh_terms: D000465:Algorithms; D000818:Animals; D001703:Biophysics / Q000379:methods*; D003198:Computer Simulation; D004058:Diffusion; D020387:Food Chain; D008954:Models, Biological; D015233:Models, Statistical; D008962:Models, Theoretical; D009991:Oscillometry; D011157:Population Dynamics; D011235:Predatory Behavior; D011336:Probability; D013269:Stochastic Processes; D013997:Time Factors