Abstract
Simple models of the plankton ecosystem have been usefully analysed and understood using dynamical-systems techniques. These techniques have addressed important ecological questions and have provided insight into how models should be constructed. Edwards and Brindley [1996, Oscillatory behaviour in a three-component plankton population model. Dynamics and Stability of Systems, 11, 347–370] used such methods to investigate the dynamics of a model that represented the concentrations of nutrients, phytoplankton and zooplankton. Halanay [2003, On the stability of some equilibrium points in a plankton population model. Dynamical Systems, 18, 227–229] asserted that Edwards and Brindley incorrectly determined the stability of one of the model's steady states. However, Halanay's assertion requires the consideration of negative zooplankton concentrations, and so is not relevant to the biological meaning of the model.
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