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Bifurcation Analysis for a Delayed Predator-Prey System with Stage Structure

Abstract

A delayed predator-prey system with stage structure is investigated. The existence and stability of equilibria are obtained. An explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions is derived by using the normal form and the center manifold theory. Finally, a numerical example supporting the theoretical analysis is given.

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Correspondence to Zhichao Jiang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Jiang, Z., Cheng, G. Bifurcation Analysis for a Delayed Predator-Prey System with Stage Structure. Fixed Point Theory Appl 2010, 527864 (2010). https://doi.org/10.1155/2010/527864

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  • DOI: https://doi.org/10.1155/2010/527864

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