Chalmers Conferences, 9th European Conference on Mathematical and Theoretical Biology

A predator-prey model with time delay and the Mackey-Glass attractor
Gail Wolkowicz

Last modified: 2014-06-16


A delay is included in one of the simplest classical predator-prey models to model the time required for the predator to process the prey. We show that this introduces Hopf bifurcations, as well as sequences of period doubling bifurcations eventually leading to chaos, with a strange attractor that resembles the chaotic attractor of the Mackey-Glass equation.