Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
759329 | Communications in Nonlinear Science and Numerical Simulation | 2009 | 12 Pages |
Abstract
In this paper, we investigate the stability and Hopf bifurcation of a new regulated logistic growth with discrete and distributed delays. By choosing the discrete delay ττ as a bifurcation parameter, we prove that the system is locally asymptotically stable in a range of the delay and Hopf bifurcation occurs as ττ crosses a critical value. Furthermore, explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions is derived by normal form theorem and center manifold argument. Finally, an illustrative example is also given to support the theoretical results.
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Authors
Shengle Fang, Minghui Jiang,