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• W2166943964 abstract "We consider a nutrient-phytoplankton model with a Holling type II functional response and a time delay. By selecting the time delay used as a bifurcation parameter, we prove that the system is stable if the delay value is lower than the critical value but unstable when it is above this value. First, we investigate the existence and stability of the equilibria, as well as the existence of Hopf bifurcations. Second, we consider the direction, stability, and period of the periodic solutions from the steady state based on the normal form and the center manifold theory, thereby deriving explicit formulas. Finally, some numerical simulations are given to illustrate the main theoretical results." @default.
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• W2166943964 date "2015-01-01" @default.
• W2166943964 modified "2023-10-16" @default.
• W2166943964 title "Nonlinear Dynamics of a Nutrient-Phytoplankton Model with Time Delay" @default.
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• W2166943964 doi "https://doi.org/10.1155/2015/939187" @default.
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