title: Spatial dynamics of a nutrient-phytoplankton system with toxic effect on phytoplankton.
abstract: The production of toxins by some species of phytoplankton is known to have several economic, ecological, and human health impacts. However, the role of toxins on the spatial distribution of phytoplankton is not well understood. In the present study, the spatial dynamics of a nutrient-phytoplankton system with toxic effect on phytoplankton is investigated. We analyze the linear stability of the system and obtain the condition for Turing instability. In the presence of toxic effect, we find that the distribution of nutrient and phytoplankton becomes inhomogeneous in space and results in different patterns, like stripes, spots, and the mixture of them depending on the toxicity level. We also observe that the distribution of nutrient and phytoplankton shows spatiotemporal oscillation for certain toxicity level.
authors.affiliation: ICBM, University of Oldenburg, Carl von Ossietzky Str. 9-11, D-26129 Oldenburg, Germany. Electronic address: subhendu_math@yahoo.co.in.
authors.forename: Subhendu
authors.initials: S
authors.lastname: Chakraborty
authors.affiliation: Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi 221005, India.
authors.forename: P K
authors.initials: PK
authors.lastname: Tiwari
authors.affiliation: Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi 221005, India.
authors.forename: A K
authors.initials: AK
authors.lastname: Misra
authors.affiliation: AERU, Indian Statistical Institute, 203, B. T. Road, Kolkata 700108, India.
authors.forename: J
authors.initials: J
authors.lastname: Chattopadhyay
mesh_terms: D017753:Ecosystem; D008387:Marine Toxins; D008962:Models, Theoretical; D010839:Phytoplankton
chemical_list: D008387:Marine Toxins
keywords: Nutrient–phytoplankton model; Pattern formation; Reaction–diffusion; Toxin; Turing instability