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Mathematical Modelling of Spatiotemporal Dynamics of Oxygen in a Plankton System

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journal contribution
posted on 22.07.2015, 15:49 by Y. Sekerci, S. Petrovskii
Oxygen production due to phytoplankton photosynthesis is a crucial phenomenon underlying the dynamics of marine ecosystems. However, most of the existing literature focus on other aspects of the plankton community functioning, thus leaving the issue of the coupled oxygen-plankton dynamics understudied. In this paper, we consider a generic model of the oxygen-phytoplankton-zooplankton dynamics to make an insight into the basic properties of the plankton-oxygen interactions. The model is analyzed both analytically and numerically. We first consider the nonspatial model and show that it predicts possible oxygen depletion under certain environmental conditions. We then consider the spatially explicit model and show that it exhibits a rich variety of spatiotemporal patterns including travelling fronts of oxygen depletion, dynamical stabilization of unstable equilibrium and spatiotemporal chaos.

History

Citation

Mathematical Modelling of Natural Phenomena, 2015, 10 (2), pp. 96-114 (19)

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

VoR (Version of Record)

Published in

Mathematical Modelling of Natural Phenomena

Publisher

EDP Sciences, Cambridge University Press (CUP):

issn

0973-5348

eissn

1760-6101

Copyright date

2015

Available date

22/07/2015

Publisher version

http://www.mmnp-journal.org/articles/mmnp/abs/2015/02/mmnp201510p96/mmnp201510p96.html

Notes

Mathematics Subject Classification: 92D40 / 35B36 / 35Q92 / 37N25

Language

en