title: Oscillations and patterns in interacting populations of two species.
abstract: Interacting populations often create complicated spatiotemporal behavior, and understanding it is a basic problem in the dynamics of spatial systems. We study the two-species case by simulations of a host-parasitoid model. In the case of coexistence, there are spatial patterns leading to noise-sustained oscillations. We introduce a measure for the patterns, and explain the oscillations as a consequence of a time-scale separation and noise. They are linked together with the patterns by letting the spreading rates depend on instantaneous population densities. Applications are discussed.
authors.affiliation: Department of Applied Physics, Helsinki University of Technology, P.O. Box 1100, 02015 Helsinki Institute of Technology, Espoo, Finland.
authors.forename: Matti
authors.initials: M
authors.lastname: Peltomäki
authors.forename: Martin
authors.initials: M
authors.lastname: Rost
authors.forename: Mikko
authors.initials: M
authors.lastname: Alava
mesh_terms: D000818:Animals; D003411:Arvicolinae / Q000502:physiology*; D001522:Behavior, Animal / Q000502:physiology*; D005246:Feedback; D009991:Oscillometry; D010363:Pattern Recognition, Automated; D011156:Population Density; D011235:Predatory Behavior; D013028:Space Perception; D013998:Time Perception