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Normal Forms for an Age Structured Model

机译:年龄结构模型的范式

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摘要

In this paper, we apply the recently developed normal form theory for abstract Cauchy problems with non-dense domain in Liu et al. (J Diff Equ 257:921-1011, 2014) to study normal forms for an age structured model. We provide detailed computations for the Taylor's expansion of the reduced system on the center manifold, from which explicit formulae are given to determine the direction of the Hopf bifurcation and the stability and amplitude of the bifurcating periodic solutions.
机译:在本文中,我们将最新发展的范式理论应用于刘等人的具有稠密域的抽象柯西问题。 (J Diff Equ 257:921-1011,2014)研究年龄结构模型的正常形式。我们为中心流形上的简化系统的泰勒展开提供了详细的计算,从中给出了明确的公式来确定Hopf分支的方向以及分支周期解的稳定性和幅度。

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