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

R. Dilão; T. Domingos

DOI:10.1006/BULM.2000.0213

Corpus ID: 697164

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

@article{Dilo2001PeriodicAQ,
  title={Periodic and quasi-periodic behavior in resource-dependent age structured population models},
  author={R. Dil{\~a}o and T. Domingos},
  journal={Bulletin of Mathematical Biology},
  year={2001},
  volume={63},
  pages={207-230}
}

R. Dilão, T. Domingos

Published 2001

Mathematics, Medicine

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… CONTINUE READING

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