Nutrient-limited toxin production and the dynamics of two phytoplankton in culture media: A mathematical model

No abstract is available for this paper.

• Publication year

  2008

• Venue

  Ecological Modelling

• Publication date

  2008-05-10

• Fields of study

  Biology, Mathematics, Environmental Science

• Identifiers
  DOI 10.1016/J.ECOLMODEL.2007.12.008
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• first-order kinetics

  2009cited by this paper
• TOXIN-ALLELOPATHY AMONG PHYTOPLANKTON SPECIES PREVENTS COMPETITIVE EXCLUSION

  2006cited by this paper
• Nutrient-phytoplankton-zooplankton models with a toxin

  2006cited by this paper
• Nutrient-plankton models with nutrient recycling

  2005cited by this paper
• Modelling allelopathy among marine algae

  2005cited by this paper
• Allelopathic effects of the Baltic cyanobacteria Nodularia spumigena, Aphanizomenon flos-aquae and Anabaena lemmermannii on algal monocultures

  2004cited by this paper
• Allelopathic interactions between phytoplankton species: The roles of heterotrophic bacteria and mixing intensity

  2004cited by this paper
• Sensitivity analysis of a nonlinear lumped parameter model of HIV infection dynamics

  2004cited by this paper
• The role of environmental stochasticity in a toxic phytoplankton–non‐toxic phytoplankton–zooplankton system

  2003cited by this paper
• Increase in the production of allelopathic substances by Prymnesium parvum cells grown under N- or P-deficient conditions

  2003cited by this paper
• Toxin-producing plankton may act as a biological control for planktonic blooms--field study and mathematical modelling.

  2002cited by this paper
• A delay differential equation model on harmful algal blooms in the presence of toxic substances.

  2002cited by this paper
• Oscillations in plankton models with nutrient recycling.

  2001cited by this paper
• Influence of different nutrient conditions on cell density, chemical composition and toxicity of Prymnesium parvum (Haptophyta) in semi-continuous cultures

  1999cited by this paper
• Parameter Sensitivity in Nonlinear Mechanics: Theory and Finite Element Computations

  1997cited by this paper
• Prymnesin-2: A Potent Ichthyotoxic and Hemolytic Glycoside Isolated from the Red Tide Alga Prymnesium parvum

  1996cited by this paper
• Toxin production by Dinophysis acuminata and D. acuta cells grown under nutrient sufficient and deficient conditions

  1996cited by this paper
• Repression of copepod feeding and fecundity by the toxic haptophyte Prymnesium patelliferum

  1996cited by this paper
• CHANGES IN DOMOIC ACID PRODUCTION AND CELLULAR CHEMICAL COMPOSITION OF THE TOXIGENIC DIATOM PSEUDO‐NITZSCHIA MULTISERIES UNDER PHOSPHATE LIMITATION 1

  1996cited by this paper
• The effects of the diarrhetic shellfish poisoning toxins, okadaic acid and dinophysistoxin-1, on the growth of microalgae

  1996cited by this paper
• Harmful and toxic algal blooms

  1996cited by this paper
• Growth and toxicity of Prorocentrum lima (Ehrenberg) Dodge in different culture media: Effect of humic acids and organic phosphorus

  1995cited by this paper
• Harmful Marine Algal Blooms

  1995cited by this paper
• Theory of Sensitivity in Dynamic Systems: An Introduction

  1994cited by this paper
• Effects of nitrogen concentration and cold temperature on DSP-toxin concentrations in the dinoflagellate Prorocentrum lima (Prorocentrales, Dinophyceae).

  1994cited by this paper
• Effects of Ammonium and Nitrate on Growth and Domoic Acid Production by Nitzschia pungens in Batch Culture

  1993cited by this paper
• Growth and toxicity in Prymnesium patelliferum (Prymnesiophyceae) isolated from Norwegian waters

  1993cited by this paper
• Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling

  1993cited by this paper
• Dynamics of Nutrient Cycling and Food Webs

  1992cited by this paper
• Bioactive microalgal metabolites: mediation of subtle ecological interactions in phytophagous suspension-feeding marine invertebrates

  1991cited by this paper
• Controls on Domoic Acid Production by the Diatom Nitzschia pungens f. multiseries in Culture: Nutrients and Irradïance

  1991cited by this paper
• The dynamics of a model of a plankton-nutrient interaction

  1990cited by this paper
• Dynamics and physiology of saxitoxin production by the dinoflagellatesAlexandrium spp.

  1990cited by this paper
• Response of Gymnodinium catenatum to increasing levels of nitrate: Growth patterns and toxicity

  1990cited by this paper
• Effects of nutrient limitation on toxin production and composition in the marine dinoflagellate Protogonyaulax tamarensis

  1987cited by this paper
• Toxic Marine Phytoplankton

  1987cited by this paper
• Chemically-mediated rejection of dinoflagellate prey by the copepods Calanus pacificus and Paracalanus parvus: mechanism, occurrence and significance

  1986cited by this paper
• Effects of toxicants on populations: A qualitative approach II. first order kinetics

  1983cited by this paper
• Mathematical Analysis of Some Resource-Prey-Predator Models: Application to a NPZ Microcosm Model

  1983cited by this paper
• Numerical behavior of a zooplankton, phytoplankton and phosphorus system

  1981cited by this paper
• On stability and periodicity in phosphorus nutrient dynamics

  1980cited by this paper
• Structural sensitivity of grazing formulations in nutrient controlled plankton models

  1978cited by this paper
• Aspects of a zooplankton, phytoplankton, phosphorus system

  1978cited by this paper
• Oceanic sound scattering prediction

  1977cited by this paper
• Influence of Light and Phosphate on Toxin Production and Growth of Prymnesium parvum

  1972cited by this paper
• Formation and mode of action of algal toxins.

  1967cited by this paper

• Spatiotemporal dynamics of a plankton ecosystem under the influence of toxin exposure and additional food

  2025cites this paper
• Delay-induced bubbling in a harvested plankton-fish model: A study on the role of two fish predators

  2025cites this paper
• Design of a fractional-order environmental toxin-plankton system in aquatic ecosystems: A novel machine predictive expedition with nonlinear autoregressive neuroarchitectures.

  2025cites this paper
• Fear-driven gregariousness and survival: Modeling bidirectional feedbacks and seasonality in a generalist predator–prey system

  2025cites this paper
• Dynamics of a phytoplankton-zooplankton model with three-dimensional patch under the impacts of hydrodynamic conditions

  2025cites this paper
• Exact solitary wave solutions and their comparisons under the effect of noise: an allelopathic phytoplankton competition model

  2024cites this paper
• Artificial intelligence to explain the variables that favor the cyanobacteria steady-state in tropical ecosystems: A Bayeasian network approach.

  2023cites this paper
• Bifurcation analysis of phytoplankton-fish model through parametric control by fish mortality rate and food transfer efficiency

  2023cites this paper
• Optimal control of a phytoplankton-zooplankton spatiotemporal discrete bioeconomic model

  2022cites this paper
• The Dynamics of the Aquatic Food Chain System in the Contaminated Environment

  2022cites this paper
• Qualitative analysis on a reaction-diffusion nutrient-phytoplankton model with toxic effect of Holling-type II functional

  2022cites this paper
• Effect of seasonality on a nutrient–plankton system with toxicity in the presence of refuge and additional food

  2022cites this paper
• A nonautonomous model for the effects of refuge and additional food on the dynamics of phytoplankton-zooplankton system

  2021cites this paper
• Stability and Bifurcation for a Delayed Diffusive Two-Zooplankton One-Phytoplankton Model with Two Different Functions

  2021cites this paper
• Modeling and Monitoring of Hydrodynamics and Surface Water Quality in the Sulejów Dam Reservoir, Poland

  2021cites this paper
• Dynamics of a nutrient-plankton model with delay and toxicity

  2021cites this paper
• Bifurcation control of a minimal model of marine plankton interaction with multiple delays

  2021cites this paper
• A nonautonomous model for the effect of environmental toxins on plankton dynamics

  2020cites this paper
• A nonautonomous model for the effect of environmental toxins on plankton dynamics

  2020cites this paper
• Bifurcation analysis of a Singular Nutrient-plankton-fish model with taxation, protected zone and multiple delays

  2020cites this paper
• Complex dynamics of delay-induced plankton–fish interaction exhibiting defense

  2020cites this paper
• Modelling Toxin-Producing Algae in the Coastal Waters of Nigeria

  2020cites this paper
• Modeling the effects of toxic wastes on population dynamics

  2020cites this paper
• Mathematical analysis of plankton population dynamics

  2020influential citation
• Complex dynamics of delay-induced plankton–fish interaction exhibiting defense

  2020cites this paper
• A Spatiotemporal Prey-Predator Discrete Model and Optimal Controls for Environmental Sustainability in the Multifishing Areas of Morocco

  2020cites this paper
• Stability and Hopf bifurcation analysis of a delayed phytoplankton-zooplankton model with Allee effect and linear harvesting.

  2019cites this paper
• The Effect of Toxin and Human Impact on Marine Ecosystem

  2019cites this paper
• Mathematical analysis of toxin-phytoplankton-fish model with self-diffusion and cross-diffusion

  2019cites this paper
• Global periodic solutions in a plankton-fish interaction model with toxication delay

  2018cites this paper
• Bifurcation and Control in a Singular Phytoplankton-Zooplankton-Fish Model with Nonlinear Fish Harvesting and Taxation

  2018cites this paper
• Dynamical Analysis of a Phytoplankton-Zooplankton System with Harvesting Term and Holling III Functional Response

  2018cites this paper
• Modeling the influence of initial density and copper exposure on the interspecific competition of two algal species

  2018cites this paper
• Effects of toxin delay on the dynamics of a phytoplankton–zooplankton model

  2018cites this paper
• Control effect of periodic variation on the growth of harmful algal bloom causative species

  2018cites this paper
• Dynamical Behaviour of a Nutrient-Plankton Model with Holling Type IV, Delay, and Harvesting

  2018cites this paper
• Chaotic behavior analysis and control of a toxin producing phytoplankton and zooplankton system based on linear feedback

  2018cites this paper
• Effects of fertilizers used in agricultural fields on algal blooms

  2017cites this paper
• Hopf bifurcation analysis of two zooplankton-phytoplankton model with two delays

  2017cites this paper
• Population persistence in flowing-water habitats: Conditions where flow-based management of harmful algal blooms works, and where it does not

  2017cites this paper
• Mathematical analysis of a nutrient–plankton system with delay

  2016cites this paper
• Complex dynamic of plankton–fish interaction with quadratic harvesting and time delay

  2016cites this paper
• Bifurcation behaviors analysis of a plankton model with multiple delays

  2016cites this paper
• Nonlinear Dynamics of a Toxin‐Phytoplankton‐Zooplankton System with Self‐ and Cross‐Diffusion

  2016cites this paper
• The dynamics of nutrient, toxic phytoplankton, nontoxic phytoplankton and zooplankton model

  2016influential citation
• Toxic phytoplankton as a keystone species in aquatic ecosystems: stable coexistence to biodiversity

  2016cites this paper
• Modeling the impact of awareness on the mitigation of algal bloom in a lake

  2016cites this paper
• Spatial dynamics of a nutrient-phytoplankton system with toxic effect on phytoplankton.

  2015cites this paper
• The role of space in marine plankton ecosystem in presence of toxin producing phytoplankton

  2015cites this paper
• Analysis of a toxin producing phytoplankton–zooplankton interaction with Holling IV type scheme and time delay

  2015cites this paper
• Analysis of a toxin producing phytoplankton–zooplankton interaction with Holling IV type scheme and time delay

  2015cites this paper
• Dynamics of harmful algae with seasonal temperature variations in the cove-main lake

  2015cites this paper
• Bifurcation Analysis of a Plankton Model with Discrete Delay

  2014cites this paper
• Competition and allelopathy with resource storage: two resources.

  2014cites this paper
• The dynamic of plankton-nutrient interaction with delay

  2014cites this paper
• Global dynamics of zooplankton and harmful algae in flowing habitats

  2013cites this paper
• Hopf-Pitchfork Bifurcation in a Phytoplankton-Zooplankton Model with Delays

  2013cites this paper
• Nutrient recycling and allelopathy in a gradostat

  2013cites this paper
• Modeling of plankton community dynamics characterized by algal toxicity and allelopathy: A focus on historical Prymnesium parvum blooms in a Texas reservoir

  2012cites this paper
• The effect of costs associated with toxin production in a competitive system

  2011cites this paper
• Spatial variation of harmful algae and their toxins in flowing-water habitats: a theoretical exploration

  2011cites this paper
• Chemical noise in the silent ocean

  2010cites this paper
• Lake Granbury and Lake Whitney Assessment Initiative

  2010cites this paper
• Dynamic analysis and control in a differential-algebraic harmful phytoplankton blooms model

  2010cites this paper
• Role of toxin producing phytoplankton on a plankton ecosystem

  2010cites this paper
• Harvesting of a phytoplankton–zooplankton model

  2010cites this paper
• DYNAMICAL BEHAVIOR IN A HARVESTED DIFFERENTIAL-ALGEBRAIC ALLELOPATHIC PHYTOPLANKTON MODEL

  2009cites this paper
• HORIZONS Chemical noise in the silent ocean

  2009cites this paper
• A chemostat model of resource competition and allelopathy

  2009cites this paper
• NUTRIENT-PHYTOPLANKTON-ZOOPLANKTON DYNAMICS IN THE PRESENCE OF ADDITIONAL FOOD SOURCE — A MATHEMATICAL STUDY

  2008cites this paper