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Phys. Rev. E 64, 021915 (2001) [7 pages]

Patchy environment as a factor of complex plankton dynamics

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Alexander B. Medvinsky*, Irene A. Tikhonova, and Rubin R. Aliev
Institute for Theoretical & Experimental Biophysics, Pushchino, Moscow Region, 142290 Russia

Bai-Lian Li
Department of Biology, University of New Mexico, Albuquerque, New Mexico 87131-1091

Zhen-Shan Lin
Department of Geography, Nanjing Normal University, Nanjing 210093, People’s Republic of China

Horst Malchow
Institut für Umweltsystemforschung, Artilleriestraße 34, 49069 Osnabrück, Germany

Received 1 March 2001; published 26 July 2001

We study the role of the diffusive interaction in plankton dynamics in a patchy environment. We use a minimal reaction-diffusion model of the nutrient—plankton—fish food chain to simulate the diffusive interaction between fish-populated and fish-free habitats. We show that such interaction can give rise to spatiotemporal plankton patterns. The plankton dynamics depend on the fish predation rate and can exhibit both regular and chaotic behavior. We show that limit cycle and chaotic attractor coexist in the system. The entire basin of attraction of the limit cycles is found to be riddled with “holes” leading to the competitive chaotic attractors. The chaotic dynamics is typical of a wide range of the fish predation rates.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.021915
DOI:
10.1103/PhysRevE.64.021915
PACS:
87.23.Cc, 05.45.Pq, 92.20.Rb

*Email address: medvinsky@venus.iteb.serpuknov.su