Vzaimozavisimost' raspredeleniia planktona v prostranstve i izmenenii biomassy planktona vo vremeni: matematicheskoe modelirovanie

Medvedinskii, A.B., Tikhonova, I.A., Li, B.L. and Malchow, H. (2003) Vzaimozavisimost' raspredeleniia planktona v prostranstve i izmenenii biomassy planktona vo vremeni: matematicheskoe modelirovanie. Biofizika, 48 (1), 104-110.

Abstract

The dynamics of aquatic biological communities in a patchy environment is of great interest in respect to interrelations between phenomena at various spatial and time scales. To study the complex plankton dynamics in relation to variations of such a biologically essential parameter as the fish predation rate, we use a simple reaction-diffusion model of trophic interactions between phytoplankton, zooplankton, and fish. We suggest that plankton is distributed between two habitats one of which is fish-free due to hydrological inhomogeneity, while the other is fish-populated. We show that temporal variations in the fish predation rate do not violate the strong correspondence between the character of spatial distribution of plankton and changes of plankton biomass in time: regular temporal oscillations of plankton biomass correspond to large-scale plankton patches, while chaotic oscillations correspond to small-scale plankton patterns. As in the case of the constant fish predation rate, the chaotic plankton dynamics is characterized by coexistence of the chaotic attractor and limit cycle.

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Contributors

Author: I.A. Tikhonova

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