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Stability and Hopf bifurcation for a regulated logistic growth model with discrete and distributed delays

✍ Scribed by Shengle Fang; Minghui Jiang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
378 KB
Volume
14
Category
Article
ISSN
1007-5704

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✦ Synopsis

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 s as a bifurcation parameter, we prove that the system is locally asymptotically stable in a range of the delay and Hopf bifurcation occurs as s 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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