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

作者: Ying Qu , Junjie Wei

DOI: 10.1007/S11071-006-9133-X

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

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