Delays induced in population dynamics

Eva Sánchez

Banach Center Publications (2003)

  • Volume: 63, Issue: 1, page 9-46
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Eva Sánchez. "Delays induced in population dynamics." Banach Center Publications 63.1 (2003): 9-46. <http://eudml.org/doc/281810>.

@article{EvaSánchez2003,
abstract = {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.},
author = {Eva Sánchez},
journal = {Banach Center Publications},
keywords = {state-dependent delay differential equations; oscillations; linearized stability; characteristic equations; stability switches},
language = {eng},
number = {1},
pages = {9-46},
title = {Delays induced in population dynamics},
url = {http://eudml.org/doc/281810},
volume = {63},
year = {2003},
}

TY - JOUR
AU - Eva Sánchez
TI - Delays induced in population dynamics
JO - Banach Center Publications
PY - 2003
VL - 63
IS - 1
SP - 9
EP - 46
AB - 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.
LA - eng
KW - state-dependent delay differential equations; oscillations; linearized stability; characteristic equations; stability switches
UR - http://eudml.org/doc/281810
ER -

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