Guizhou Key Laboratory of Economics System Simulation
School of Mathematics and Statistics
Guizhou College of Finance and Economics
Guiyang 550004, China
email: xcj403@126.com
Changjin Xu
Abstract:
Applying a frequency domain approach, we investigate a
phytoplankton model with time delay. We use the delay as a
bifurcation parameter; as it passes through a sequence of
critical values, Hopf bifurcation occurs.
A family of periodic solutions bifurcate from
the equilibrium when the bifurcation parameter exceeds
a critical value. Some numerical simulations illustrate
our theoretical results.
Submitted April 13, 2011. Published November 3, 2011.
Math Subject Classifications: 34K20.
Key Words: Phytoplankton model; Hopf bifurcation; stability;
frequency domain; Nyquist criterion.
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Changjin Xu Guizhou Key Laboratory of Economics System Simulation School of Mathematics and Statistics Guizhou College of Finance and Economics Guiyang 550004, China email: xcj403@126.com |
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