Bifurcation behaviors analysis of a plankton model with multiple delays

DOI10.1142/S1793524516500868zbMath1347.34120OpenAlexW2343870371MaRDI QIDQ2821161

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Publication date: 16 September 2016

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524516500868

zbMATH Keywords

Hopf bifurcationcenter manifold theoremmultiple delaysnormal form theorytoxinplankton

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Ecology (92D40) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19)

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Cites Work

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• Delay differential equations: with applications in population dynamics
• Time lags can control algal bloom in two harmful phytoplankton-zooplankton system
• Dynamical analysis of toxin producing Phytoplankton-Zooplankton interactions
• The dynamic of plankton-nutrient interaction with delay
• Critical role of nosocomial transmission in the Toronto SARS outbreak
• Excitability of an age-structured plankton ecosystem
• Dynamical analysis of a delay model of phytoplankton-zooplankton interaction
• Global dynamics of a nutrient-plankton system in the water ecosystem
• Effect of time delay on a detritus-based ecosystem
• Nutrient-plankton models with nutrient recycling

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