Comparisons, by models, of some basic mechanisms acting on the dynamics of the zooplankton-toxic phytoplankton system

El Abdllaoui, A. ; Chattopadhyay, J. ; Arino, Ovide (2002) Comparisons, by models, of some basic mechanisms acting on the dynamics of the zooplankton-toxic phytoplankton system Mathematical Models and Methods in Applied Sciences, 12 (10). pp. 1421-1451. ISSN 0218-2025

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Official URL: http://www.worldscinet.com/m3as/12/1210/S021820250...

Related URL: http://dx.doi.org/10.1142/S0218202502002185

Abstract

In this paper, classes of mathematical models of phytoplankton-zooplankton systems with toxic phytoplankton are proposed and analysed. We investigate various situations, by changing the uptake function, the mortality of the zooplankton or the toxin liberation process, and we compare the corresponding dynamics. We show notably that a stable oscillatory regime (after a Hopf bifurcation) can only be observed if the uptake function is nonlinear.

Item Type:Article
Source:Copyright of this article belongs to World Scientific Publishing Co Pte Ltd.
Keywords:Zooplankton; Toxic-phytoplankton; Bloom; Infinite Delay; Chain Trick; Hopf-bifurcation; Poincare Map; Routh-hurwitz
ID Code:7492
Deposited On:25 Oct 2010 11:23
Last Modified:30 May 2011 06:28

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