DYNAMICAL ANALYSIS OF A ALLELOPATHIC PHYTOPLANKTON MODEL

In this paper we have considered a two-species competitive phytoplankton system with one toxin producing phytoplankton. Local asymptotic stability of various equilibrium points are considered to understand the effect of toxic substance on the dynamics of the model system. By using a suitable Lyapunov function we have observed that the toxic substance has some stabilizing effect on the dynamics of model system.

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