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

• Autorzy: Bodnar M. , Foryś U.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

antigen; antibody; plasma cell; organ-target; delay differential equation; stationary state; stability; bifurcation point

PL

antygen; przeciwciało; opóźnienie różniczkowe

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2000
• Tom: Vol. 10, no 1
• Strony: 97--112
• Opis fizyczny: Bibliogr. 18 poz., wykr.

Twórcy

autor

Bodnar M.

autor

Foryś U.

• Department of Mathematics, Informatics andMechanics Institute of Applied Mathematics and Mechanics Warsaw University, Banacha 2, 02-097 Warsaw,Poland,