A DELAY-DIFFERENTIAL EQUATIONS MODEL OF PLANKTON ALLELOPATHY

Authors
MUKHOPADHYAY A CHATTOPADHYAY J TAPASWI PK
Citation
A. Mukhopadhyay et al., A DELAY-DIFFERENTIAL EQUATIONS MODEL OF PLANKTON ALLELOPATHY, Mathematical biosciences, 149(2), 1998, pp. 167-189
Citations number
54
Categorie Soggetti
Mathematics, Miscellaneous","Mathematics, Miscellaneous","Biology Miscellaneous
Journal title
Mathematical biosciences → ACNP
ISSN journal
00255564
Volume
149
Issue
2
Year of publication
1998
Pages
167 - 189
Database
ISI
SICI code
0025-5564(1998)149:2<167:ADEMOP>2.0.ZU;2-Q
Abstract
In this paper we have studied the dynamics of planktonic growth with s pecial consideration on time dependent fluctuations in density of the species. We propose a modified delay differential equation model of th e growth of two species of plankton having competitive and allelopathi c effects on each other. The model system shows a stable limit cycle o scillation when the allelopathic effect is of a stimulatory nature. (C ) 1998 Elsevier Science Inc. All rights reserved.