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- W2997339989 abstract "We proposed a nutrient‐phytoplankton interaction model with a discrete and distributed time delay to provide a better understanding of phytoplankton growth dynamics and nutrient‐phytoplankton oscillations induced by delay. Standard linear analysis indicated that delay can induce instability of a positive equilibrium via Hopf bifurcation. We derived the conditions guaranteeing the existence of Hopf bifurcation and tracked its direction and the stability of the bifurcating periodic solutions. We also obtained the sufficient conditions for the global asymptotic stability of the unique positive steady state. Numerical analysis in the fully nonlinear regime showed that the stability of the positive equilibrium is sensitive to changes in delay values under select conditions. Numerical results were consistent with results predicted by linear analysis." @default.
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- W2997339989 date "2019-12-26" @default.
- W2997339989 modified "2023-09-30" @default.
- W2997339989 title "Stability and bifurcation analysis of a nutrient‐phytoplankton model with time delay" @default.
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- W2997339989 doi "https://doi.org/10.1002/mma.6098" @default.
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