Periodic dynamics in a model of immune system

Marek Bodnar, Urszula Foryś
2000 Applicationes Mathematicae  
The aim of this paper is to study periodic solutions of Marchuk's model, i.e. the system of ordinary differential equations with time delay describing the immune reactions. The Hopf bifurcation theorem is used to show the existence of a periodic solution for some values of the delay. Periodic dynamics caused by periodic immune reactivity or periodic initial data functions are compared. Autocorrelation functions are used to check the periodicity or quasiperiodicity of behaviour.
doi:10.4064/am-27-1-113-126 fatcat:b7uq5zcg5nexfcwl6l6zyw5eky