Nonmonotonic Behavior of Spatiotemporal Pattern Formation in a Noisy Lotka-Volterra System
Abstract
The noise-induced pattern formation in a population dynamical model of three interacting species in the coexistence regime is investigated. A coupled map lattice of Lotka-Volterra equations in the presence of multiplicative noise is used to analyze the spatiotemporal evolution. The spatial correlation of the species concentration as a function of time and of the noise intensity is investigated. A nonmonotonic behavior of the area of the patterns as a function of both noise intensity and evolution time is found.
- Publication:
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Acta Physica Polonica B
- Pub Date:
- April 2004
- DOI:
- 10.48550/arXiv.cond-mat/0403104
- arXiv:
- arXiv:cond-mat/0403104
- Bibcode:
- 2004AcPPB..35.1491F
- Keywords:
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- Condensed Matter - Statistical Mechanics
- E-Print:
- 10 pages. In press in Acta Physica Polonica B