Competition between a nonallelopathic phytoplankton and an allelopathic phytoplankton species under predation.

No abstract is available for this paper.

• Publication year

  2016

• Venue

  Mathematical biosciences and engineering : MBE

• Publication date

  2016-05-01

• Fields of study

  Biology, Medicine, Environmental Science

• Identifiers
  DOI 10.3934/mbe.2016018PMID 27775385
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Dynamics of two phytoplankton populations under predation.

  2014cited by this paper
• A simple model of carcinogenic mutations with time delay and diffusion.

  2013cited by this paper
• Long term dynamics in a mathematical model of HIV-1 infection with delay in different variants of the basic drug therapy model

  2013cited by this paper
• The coevolution of two phytoplankton species on a single resource: allelopathy as a pseudo-mixotrophy.

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

  2008cited by this paper
• The interaction between predation and competition

  2008cited by this paper
• Modelling the effect of autotoxicity on density-dependent phytotoxicity.

  2007cited by this paper
• Modelling phytoplankton allelopathy in a nutrient-plankton model with spatial heterogeneity

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

  2005cited by this paper
• Modelling allelopathy among marine algae

  2005cited by this paper
• Mathematical modelling of allelopathy: II. The dynamics of allelochemicals from living plants in the environment

  2003cited by this paper
• The interaction between predation and competition: a review and synthesis

  2002cited by this paper
• Adding Detritus to a Nutrient–Phytoplankton–Zooplankton Model:A Dynamical-Systems Approach

  2001cited by this paper
• Oscillations in plankton models with nutrient recycling.

  2001cited by this paper
• Competition by allelopathy proceeds in traveling waves: colicin-immune strain aids colicin-sensitive strain.

  2000cited by this paper
• Simple Food Chain in a Chemostat with Distinct Removal Rates

  2000cited by this paper
• Zooplankton mortality and the dynamical behaviour of plankton population models

  1999cited by this paper
• Disentangling Resource and Apparent Competition: Realistic Models for Plant-herbivore Communities

  1998cited by this paper
• The Theory of the Chemostat: Dynamics of Microbial Competition

  1995cited by this paper
• Simple Rules for Interspecific Dominance in Systems with Exploitative and Apparent Competition

  1994cited by this paper
• Exploitative competition in the chemostat for two perfectly substitutable resources.

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

  1993cited by this paper
• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations

  1992cited by this paper
• Global dynamics of a mathematical model of competition in the chemostat: general response functions and differential death rates

  1992cited by this paper
• On the Conditions for Permanence of Species in Ecological Communities

  1992cited by this paper
• Stability in chemostat equations with delayed nutrient recycling

  1990cited by this paper
• Exploitative competition in a chemostat for two complementary, and possibly inhibitory, resources

  1987cited by this paper
• Predator-mediated competition in the chemostat

  1986cited by this paper
• Single-nutrient microbial competition: qualitative agreement between experimental and theoretically forecast outcomes.

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

  1978cited by this paper
• Limiting Behavior for Competing Species

  1978cited by this paper
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms

  1977cited by this paper
• Dynamics of a chemostat in which two organisms compete for a common substrate

  1977cited by this paper
• Competition between two species for two complementary or substitutable resources.

  1975cited by this paper
• Dynamic and steady state studies of phenol biodegradation in pure and mixed cultures

  1975cited by this paper
• Models in ecology

  1974cited by this paper
• Interactions of Tetrahymena pyriformis, Escherichia coli, Azotobacter vinelandii, and Glucose in a Minimal Medium

  1973cited by this paper
• Interactions of Tetrahymena pyriformis, Escherichia coli, Azotobacter vinelandii, and Glucose in a Minimal Medium

  1973cited by this paper
• On a nonlinear Volterra equation

  1972cited by this paper
• An Optimization Model of Food Selection

  1971cited by this paper
• Allelochemics: chemical interactions between species.

  1971cited by this paper
• A MATHEMATICAL MODEL OF REGIONAL VARIATIONS IN PLANKTON

  1965cited by this paper
• Kinetics of nitrite oxidation by Nitrobacter winogradskyi.

  1962cited by this paper
• KINETICS OF THE NITRITE OXIDATION BY NITROBACTER WINOGRADSKYI

  1960cited by this paper
• The competitive exclusion principle.

  1960cited by this paper
• einfluss einer pflanze auf die andere, allelopathie

  1937cited by this paper

• Analysis of an intra- and interspecific interference model with allelopathic competition

  2024cites this paper
• Exact solitary wave solutions and their comparisons under the effect of noise: an allelopathic phytoplankton competition model

  2024cites this paper
• Distribution Patterns of Microbial Community Structure Along a 7000-Mile Latitudinal Transect from the Mediterranean Sea Across the Atlantic Ocean to the Brazilian Coastal Sea

  2018cites this paper