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Bifurcation analysis in a time-delay model for prey–predator growth with stage-structure

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Abstract

A time-delay model for prey–predator growth with stage-structure is considered. At first, we investigate the stability and Hopf bifurcations by analyzing the distribution of the roots of associated characteristic equation. Then, an explicit formula for determining the stability and the direction of periodic solutions bifurcating from Hopf bifurcations is derived, using the normal form theory and center manifold argument. Finally, some numerical simulations are carried out for supporting the analytic results.

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Authors and Affiliations

  1. Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, P.R. China

    Ying Qu & Junjie Wei

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  1. Ying Qu
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  2. Junjie Wei
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Correspondence to Junjie Wei.

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Qu, Y., Wei, J. Bifurcation analysis in a time-delay model for prey–predator growth with stage-structure. Nonlinear Dyn 49, 285–294 (2007). https://doi.org/10.1007/s11071-006-9133-x

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  • DOI: https://doi.org/10.1007/s11071-006-9133-x

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