Patchy environment as a factor of complex plankton dynamics

Alexander B. Medvinsky, Irene A. Tikhonova, Rubin R. Aliev, Bai-Lian Li, Zhen-Shan Lin, and Horst Malchow
Phys. Rev. E 64, 021915 – Published 26 July 2001
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Abstract

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.

  • Received 1 March 2001

DOI:https://doi.org/10.1103/PhysRevE.64.021915

©2001 American Physical Society

Authors & Affiliations

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

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

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Vol. 64, Iss. 2 — August 2001

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