Delays induced in population dynamics

Tom 63 / 2003

Ovide Arino, Eva Sánchez Banach Center Publications 63 (2003), 9-46 MSC: Primary 34K11; Secondary 34K60 DOI: 10.4064/bc63-0-1

Streszczenie

This paper provides an introduction to delay differential equations together with a short survey on state-dependent delay differential equations arising in population dynamics. Our main goal is to examine how the delays emerge from inner mechanisms in the model, how they induce oscillations and stability switches in the system and how the qualitative behaviour of a biological model depends on the form of the delay.

Autorzy

  • Ovide Arino
  • Eva SánchezDepartamento de Matemáticas
    E.T.S.I. Industriales
    c. José Gutiérrez Abascal, 2
    28006 Madrid, Spain
    e-mail

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