top
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.
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 -