Stability switches for some class of delayed population models

Joanna Skonieczna, and Urszula Foryś. "Stability switches for some class of delayed population models." Applicationes Mathematicae 38.1 (2011): 51-66. <http://eudml.org/doc/280039>.

@article{JoannaSkonieczna2011,
abstract = {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.},
author = {Joanna Skonieczna, Urszula Foryś},
journal = {Applicationes Mathematicae},
keywords = {delay differential equations; stability switches; Hopf bifurcation; prey-predator model},
language = {eng},
number = {1},
pages = {51-66},
title = {Stability switches for some class of delayed population models},
url = {http://eudml.org/doc/280039},
volume = {38},
year = {2011},
}

TY - JOUR
AU - Joanna Skonieczna
AU - Urszula Foryś
TI - Stability switches for some class of delayed population models
JO - Applicationes Mathematicae
PY - 2011
VL - 38
IS - 1
SP - 51
EP - 66
AB - 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.
LA - eng
KW - delay differential equations; stability switches; Hopf bifurcation; prey-predator model
UR - http://eudml.org/doc/280039
ER -