Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 148, pp. 1-8.

Title: Bifurcations for a phytoplankton model with time delay

Author: Changjin Xu (Guizhou College of Finance, Guiyang, China)

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 03, 2011.
Math Subject Classifications: 34K20.
Key Words: Phytoplankton model; Hopf bifurcation; stability; 
           frequency domain; Nyquist criterion.