title: A delay differential equations model of plankton allelopathy.
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.
authors.affiliation: Embryology Research Unit, Indian Statistical Institute, Calcutta, India.
authors.forename: A
authors.initials: A
authors.lastname: Mukhopadhyay
authors.forename: J
authors.initials: J
authors.lastname: Chattopadhyay
authors.forename: P K
authors.initials: PK
authors.lastname: Tapaswi
mesh_terms: D000818:Animals; D003163:Competitive Behavior; D008386:Marine Biology; D008954:Models, Biological; D010839:Phytoplankton / Q000254:growth & development* / Q000378:metabolism; D011156:Population Density; D013997:Time Factors; D014118:Toxins, Biological / Q000096:biosynthesis* / Q000378:metabolism
chemical_list: D014118:Toxins, Biological