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Patchy environment as a factor of complex plankton dynamics

Patchy environment as a factor of complex plankton dynamics
Patchy environment as a factor of complex plankton dynamics

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.

1063-651X
219151-219157
Medvinsky, Alexander B.
9dcd266c-5d35-4c74-84f9-d2212a96b4f4
Tikhonova, Irene A.
577ccbcc-6643-4190-bb6d-19e13b44bcd1
Aliev, Rubin R.
3595f9ba-483c-4149-8cd3-3a63e7d68cf1
Li, Bai Lian
6510a565-ed5e-49ab-9ba1-31965288f693
Lin, Zhen Shan
92782bc2-46cb-49ba-9c1d-049f22934310
Malchow, Horst
b9eb0321-0f39-4b03-beb5-b6329237877c
Medvinsky, Alexander B.
9dcd266c-5d35-4c74-84f9-d2212a96b4f4
Tikhonova, Irene A.
577ccbcc-6643-4190-bb6d-19e13b44bcd1
Aliev, Rubin R.
3595f9ba-483c-4149-8cd3-3a63e7d68cf1
Li, Bai Lian
6510a565-ed5e-49ab-9ba1-31965288f693
Lin, Zhen Shan
92782bc2-46cb-49ba-9c1d-049f22934310
Malchow, Horst
b9eb0321-0f39-4b03-beb5-b6329237877c

Medvinsky, Alexander B., Tikhonova, Irene A., Aliev, Rubin R., Li, Bai Lian, Lin, Zhen Shan and Malchow, Horst (2001) Patchy environment as a factor of complex plankton dynamics. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 64 (2), 219151-219157, [021915]. (doi:10.1103/PhysRevE.64.021915).

Record type: Article

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.

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e-pub ahead of print date: 26 July 2001
Published date: August 2001

Identifiers

Local EPrints ID: 437646
URI: http://eprints.soton.ac.uk/id/eprint/437646
ISSN: 1063-651X
PURE UUID: 02f2d9ee-cd4b-464b-af92-95db1c282aeb
ORCID for Irene A. Tikhonova: ORCID iD orcid.org/0000-0003-2723-0802

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Date deposited: 07 Feb 2020 17:33
Last modified: 16 Mar 2024 06:26

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Contributors

Author: Alexander B. Medvinsky
Author: Irene A. Tikhonova ORCID iD
Author: Rubin R. Aliev
Author: Bai Lian Li
Author: Zhen Shan Lin
Author: Horst Malchow

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