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A delay differential equations model of plankton allelopathy
A Mukhopadhyay1, J Chattopadhyay, P K Tapaswi
1Embryology Research Unit, Indian Statistical Institute, Calcutta, India.
Mathematical Biosciences
|June 11, 1998
Abstract:
In this paper we have studied the dynamics of planktonic growth with special consideration on time dependent fluctuations in density of the species. We propose a modified delay differential equation model of the growth of two species of plankton having competitive and allelopathic effects on each other. The model system shows a stable limit cycle oscillation when the allelopathic effect is of a stimulatory nature.