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Pattern formation in PMZC plankton model

Al-Karkhi, Tahani (2019) 'Pattern formation in PMZC plankton model.' International Journal of Basic and Applied Sciences, 19 (2). pp. 6-44. ISSN 2227-5053

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Abstract

In this paper, we focus on the phenomenon of pattern formation in a reaction diffusion model of plankton dynamics which includes support for infochemically mediated trophic interactions. We consider a four species model created on the basis of the two species models which have been studied previously. In our model, which is an extended version of these previous models, the grazing pressure of microzooplankton (M) on phytoplankton (P) is controlled through external infochemically (C) mediated predation by copepods (Z). We undertake a stability analysis of both the two species and the four species models and compare their system dynamics. We compared the mathematical roots related to these models using both numerical and analytical methods, and we found consistency between the two approaches using asymptotic expansion. We also explored spatial pattern formation in relation to both forms of model and considered under what conditions Turing patterns are exhibited and when spatiotemporal chaos can be observed. An attempt was made to study the non-Turing patterns which were discovered with a special emphasis on spatiotemporal chaos.

Item Type: Article
Uncontrolled Keywords: pattern formation; reaction diffusion model; plankton dynamics; Dynamical system; Infochemically mediated trophic interactions.; stability analysis; Bifurcation methods; Turing Instabiity
Divisions: Faculty of Social Sciences
Faculty of Social Sciences > Economics, Department of
SWORD Depositor: Elements
Depositing User: Elements
Date Deposited: 03 Sep 2021 13:50
Last Modified: 06 Jan 2022 14:26
URI: http://repository.essex.ac.uk/id/eprint/31041

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