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Hopf Bifurcation Analysis of a Diffusive Nutrient-Phytoplankton Model with Time Delay

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In this paper, we studied a nutrient–phytoplankton model with time delay and diffusion term. We studied the Turing instability, local stability, and the existence of Hopf bifurcation. Some formulas are… Click to show full abstract

In this paper, we studied a nutrient–phytoplankton model with time delay and diffusion term. We studied the Turing instability, local stability, and the existence of Hopf bifurcation. Some formulas are obtained to determine the direction of the bifurcation and the stability of periodic solutions by the central manifold theory and normal form method. Finally, we verify the above conclusion through numerical simulation.

Keywords: bifurcation; time delay; model time; phytoplankton model; nutrient phytoplankton; hopf bifurcation

Journal Title: Axioms
Year Published: 2022

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