Stability and Bifurcation Analysis in a Food Chain Model with Delay

Abstract:

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In this paper, we investigate a delayed three-species food chain model. The existence and stability of equilibria are obtained. A explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by using the normal form and the center manifold theory.

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Periodical:

Edited by:

Wu Fan

Pages:

3382-3388

DOI:

10.4028/www.scientific.net/AMM.110-116.3382

Citation:

Z. Li "Stability and Bifurcation Analysis in a Food Chain Model with Delay", Applied Mechanics and Materials, Vols. 110-116, pp. 3382-3388, 2012

Online since:

October 2011

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$35.00

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