Oscillations and patterns in interacting populations of two species

Details Oscillations and patterns in interacting populations of two species Oscillations and patterns in interacting populations of two species

2008-10-27

arxiv.org/abs/0810.4839v1

Physical Review E 78, 050903(R) (2008)

Biology

Quantitative Biology

Populations and Evolution

4 pages, 4 figures, accepted for publication in Phys. Rev. E as a Rapid Communication

Scientific paper

10.1103/PhysRevE.78.050903

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 co-existence, there are spatial patterns leading to noise-sustained oscillations. We introduce a new measure for the patterns, and explain the oscillations as a consequence of a timescale separation and noise. They are linked together with the patterns by letting the spreading rates depend on instantaneous population densities. Applications are discussed.

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