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Existence, uniqueness and stability analysis of allelopathic stimulatory phytoplankton model

Abbas, Syed ; Banerjee, Malay ; Hungerbühler, Norbert

In: Journal of Mathematical Analysis and Applications, 2010, p. -

In this paper we consider the two species competitive delay plankton allelopathy stimulatory model system. We show the existence and uniqueness of the solution of the deterministic model. Moreover, we study the persistence of the model and the stability properties of its equilibrium points. We illustrate the theoretical results by some numerical simulations.