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

Creator:

Bodnar, Marek ; Foryś, Urszula

Date:

2000

Resource Type:

artykuł

Contributor:

Arino, Ovide - ed.

Subtitle:

Mathematical Aspects of Population Dynamics

Group publication title:

AMCS, volume 10 (2000)

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

Resource Identifier:

oai:zbc.uz.zgora.pl:58435

Pages:

97-112

Source:

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

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

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

Object collections:

Last modified:

Sep 3, 2021

In our library since:

Apr 19, 2021

Number of object content hits:

77

All available object's versions:

https://zbc.uz.zgora.pl/publication/65053

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Behaviour of solutions to Marchuk's model depending on a time delay Sep 3, 2021

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