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Spatio-temporal pattern formation, fractals, and chaos in conceptual ecological models as applied to coupled plankton - fish dynamics

Spatio-temporal pattern formation, fractals, and chaos in conceptual ecological models as applied to coupled plankton - fish dynamics
Spatio-temporal pattern formation, fractals, and chaos in conceptual ecological models as applied to coupled plankton - fish dynamics

The current turn-of-the-century period witnesses the intensive use of the bioproducts of the World Ocean while at the same time calling for precautions to preserve its ecological stability. This requires that biophysical processes in aquatic systems be comprehensively explored and new methods for monitoring their dynamics be developed. While aquatic and terrestrial ecosystems have much in common in terms of their mathematical description, there are essential differences between them. For example, the mobility of oceanic plankton is mainly controlled by diffusion processes, whereas terrestrial organisms naturally enough obey totally different laws. This paper is focused on the processes underlying the dynamics of spatially inhomogeneous plankton communities. We demonstrate that conceptual reaction-diffusion mathematical models are an appropriate tool for investigating both complex spatio-temporal plankton dynamics and the fractal properties of planktivorous fish school walks.

0042-1294
63-66
Medvinskiǐ, A.B.
9dcd266c-5d35-4c74-84f9-d2212a96b4f4
Tikhonova, I.A.
577ccbcc-6643-4190-bb6d-19e13b44bcd1
Tikhonov, D.A.
2722ad2a-8141-4db2-a4d5-931e52cbabea
Ivanitskiǐ, G.R.
54346da0-c61b-4fb7-97ea-a97206cfc5af
Petrovskiǐ, S.V.
50ce389b-a14b-478b-a186-945744ebebd1
Li, B.L.
ff6006d5-9415-4ddd-b641-005ab8fc18d9
Venturino, E.
c6c4cbc7-1f89-4766-b1bd-0f1d429bc906
Malchow, H.
b9eb0321-0f39-4b03-beb5-b6329237877c
Medvinskiǐ, A.B.
9dcd266c-5d35-4c74-84f9-d2212a96b4f4
Tikhonova, I.A.
577ccbcc-6643-4190-bb6d-19e13b44bcd1
Tikhonov, D.A.
2722ad2a-8141-4db2-a4d5-931e52cbabea
Ivanitskiǐ, G.R.
54346da0-c61b-4fb7-97ea-a97206cfc5af
Petrovskiǐ, S.V.
50ce389b-a14b-478b-a186-945744ebebd1
Li, B.L.
ff6006d5-9415-4ddd-b641-005ab8fc18d9
Venturino, E.
c6c4cbc7-1f89-4766-b1bd-0f1d429bc906
Malchow, H.
b9eb0321-0f39-4b03-beb5-b6329237877c

Medvinskiǐ, A.B., Tikhonova, I.A., Tikhonov, D.A., Ivanitskiǐ, G.R., Petrovskiǐ, S.V., Li, B.L., Venturino, E. and Malchow, H. (2002) Spatio-temporal pattern formation, fractals, and chaos in conceptual ecological models as applied to coupled plankton - fish dynamics. Uspekhi Fizicheskikh Nauk, 172 (1), 63-66. (doi:10.3367/UFNr.0172.200201b.0031).

Record type: Article

Abstract

The current turn-of-the-century period witnesses the intensive use of the bioproducts of the World Ocean while at the same time calling for precautions to preserve its ecological stability. This requires that biophysical processes in aquatic systems be comprehensively explored and new methods for monitoring their dynamics be developed. While aquatic and terrestrial ecosystems have much in common in terms of their mathematical description, there are essential differences between them. For example, the mobility of oceanic plankton is mainly controlled by diffusion processes, whereas terrestrial organisms naturally enough obey totally different laws. This paper is focused on the processes underlying the dynamics of spatially inhomogeneous plankton communities. We demonstrate that conceptual reaction-diffusion mathematical models are an appropriate tool for investigating both complex spatio-temporal plankton dynamics and the fractal properties of planktivorous fish school walks.

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Published date: 1 December 2002

Identifiers

Local EPrints ID: 438224
URI: http://eprints.soton.ac.uk/id/eprint/438224
ISSN: 0042-1294
PURE UUID: 51596296-2141-47c4-a462-445c77edc8c2
ORCID for I.A. Tikhonova: ORCID iD orcid.org/0000-0003-2723-0802

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Date deposited: 04 Mar 2020 17:31
Last modified: 16 Mar 2024 06:25

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Contributors

Author: A.B. Medvinskiǐ
Author: I.A. Tikhonova ORCID iD
Author: D.A. Tikhonov
Author: G.R. Ivanitskiǐ
Author: S.V. Petrovskiǐ
Author: B.L. Li
Author: E. Venturino
Author: H. Malchow

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