We study stability switches for some class of delay differential equations with one discrete delay. We describe and use a simple method of checking the change of stability which originally comes from the paper of Cook and Driessche (1986). We explain this method on the examples of three types of prey-predator models with delay and compare the dynamics of these models under increasing delay.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am38-1-4,
author = {Joanna Skonieczna and Urszula Fory\'s},
title = {Stability switches for some class of delayed population models},
journal = {Applicationes Mathematicae},
volume = {38},
year = {2011},
pages = {51-66},
zbl = {1221.34226},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am38-1-4}
}
Joanna Skonieczna; Urszula Foryś. Stability switches for some class of delayed population models. Applicationes Mathematicae, Tome 38 (2011) pp. 51-66. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am38-1-4/