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Behaviour of Solutions to Marchuk's Model Depending on a Time Delay

Bodnar M., Foryś U.

International Journal of Applied Mathematics and Computer Science

2000

Vol. 10, no 1

97-112

Marchuk's model of an immune reaction is a system of differential equations with a time delay. The aim of this paper is to study the behaviour of solutions to Marchuk's model depending upon the delay of immune reaction and the history of an illness. We study Marchuk's model without delays, with aconstant delay and with an infinite delay. A continuous dependence on thedelay is considered. Bifurcation points are found using computer simulations.