Creator:

Bodnar, Marek ; Foryś, Urszula

Contributor:

Arino, Ovide - ed.

Title:

Behaviour of solutions to Marchuk's model depending on a time delay

Subtitle:

Mathematical Aspects of Population Dynamics

Group publication title:

AMCS, volume 10 (2000)

Subject and Keywords:

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

Abstract:

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 a constant delay and with an infinite delay. A continuous dependence on the delay is considered. Bifurcation points are found using computer simulations.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2000

Resource Type:

artykuł

Pages:

97-112

Source:

AMCS, volume 10, number 1 (2000) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego