Periodic and quasi-periodic behavior in resource-dependent age structured population models

  title={Periodic and quasi-periodic behavior in resource-dependent age structured population models},
  author={Rui Dil{\~a}o and Tiago Domingos},
  journal={Bulletin of Mathematical Biology},
To describe the dynamics of a resource-dependent age structured population, a general non-linear Leslie type model is derived. The dependence on the resources is introduced through the death rates of the reproductive age classes. The conditions assumed in the derivation of the model are regularity and plausible limiting behaviors of the functions in the model. It is shown that the model dynamics restricted to its ω-limit sets is a diffeomorphism of a compact set, and the period-1 fixed points… Expand
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