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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc63-0-1,
author = {Eva S\'anchez},
title = {Delays induced in population dynamics},
journal = {Banach Center Publications},
volume = {60},
year = {2003},
pages = {9-46},
zbl = {1061.34060},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc63-0-1}
}
Eva Sánchez. Delays induced in population dynamics. Banach Center Publications, Tome 60 (2003) pp. 9-46. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc63-0-1/