Stability switches for some class of delayed population models
Volume 38 / 2011
Applicationes Mathematicae 38 (2011), 51-66
MSC: Primary 34K13, 34K28, 34K60, 37N25.
DOI: 10.4064/am38-1-4
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.
