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Modelling and analysis of spatio-temporal dynamics of a marine ecosystem

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Abstract

This paper examines the spatio-temporal dynamics of a marine ecosystem. The system is described by two reaction–diffusion equations. We consider a phytoplankton–zooplankton system with Ivlev-type grazing function. The dynamics of the reaction–diffusion system of phytoplankton–zooplankton interaction has been studied with both constant and variable diffusion coefficients. Periodic oscillations of the phytoplankton and zooplankton populations are shown with constant and variable diffusion coefficients. In order to obtain spatio-temporal patterns, we perform numerical simulations of the coupled system describing phytoplankton–zooplankton dynamics in the presence of diffusive forces. We explain how the concentration of species changes due to local reactions and diffusion. Our results suggest that patchiness is one of the basic characteristics of the functioning of an ecological system. Two-dimensional spatial patterns of phytoplankton–zooplankton dynamics are self-organized and, therefore, can be considered to provide a theoretical framework to understand patchiness in marine environments.

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Acknowledgments

We are grateful to the anonymous reviewers for their careful reading, constructive comments and helpful suggestions, which have helped us to improve the presentation of this work significantly. First author gratefully acknowledges Director, INCOIS for his encouragement and unconditional help. This is INCOIS contribution number 219. The internship work would have been impossible without Joint Science Academies Summer Fellowship Programme 2013. Second author gladly acknowledges the Joint Science Academies for providing financial support.

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Authors and Affiliations

  1. Information Services and Ocean Sciences Group, Indian National Centre for Ocean Information Services, Hyderabad, Ocean Valley, Pragathinagar (BO), Nizampet (SO), Hyderabad, 500090, India

    Kunal Chakraborty

  2. School of Mathematics and Statistics, University of Hyderabad, Hyderabad, 500046, India

    Vamsi Manthena

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  1. Kunal Chakraborty
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  2. Vamsi Manthena
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Correspondence to Kunal Chakraborty.

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Chakraborty, K., Manthena, V. Modelling and analysis of spatio-temporal dynamics of a marine ecosystem. Nonlinear Dyn 81, 1895–1906 (2015). https://doi.org/10.1007/s11071-015-2114-1

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  • DOI: https://doi.org/10.1007/s11071-015-2114-1

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