Effect of light on the growth of non-nitrogen-fixing and nitrogen-fixing phytoplankton in an aquatic system

DOI10.1007/S00285-015-0924-XzbMath1341.34055OpenAlexW1956025871WikidataQ46677760 ScholiaQ46677760MaRDI QIDQ284070

Gail S. K. Wolkowicz, Yuan Yuan

Publication date: 17 May 2016

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-015-0924-x

zbMATH Keywords

stabilitychaotic dynamicsoscillatory behaviourphytoplanktonsteady-statecompetitor-mediated coexistenceecho bloomsHopf and period doubling bifurcationslightnon-nitrogen/nitrogen fixationnutrienttrichodesmium

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (3)

Dynamics of the periodically forced light-limited droop model ⋮ Effects of depth and evolving rate on phytoplankton growth in a periodically evolving environment ⋮ CROWDING AND LIGHT LIMITATION AFFECT PHYTOPLANKTON COMPETITION FOR NITROGEN

Uses Software

• XPPAUT

Cites Work

• Dynamics of the `echo' effect in a phytoplankton system with nitrogen fixation
• Persistence in models of three interacting predator-prey populations
• Phytoplankton depth profiles and their transitions near the critical sinking velocity
• Permanence and the dynamics of biological systems
• Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling
• Oscillatory behaviour in a three-component plankton population model
• Simulating, Analyzing, and Animating Dynamical Systems
• A coupled plankton system with instantaneous and delayed predation
• Uniformly Persistent Systems
• Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling
• Dynamical systems in population biology

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