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ArticleOriginal scientific text

Title

Periodic dynamics in a model of immune system

Authors , 1

Affiliations

  1. Institute of Applied Mathematics and Mechanics, Department of Mathematics, Computer Sciences and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Abstract

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.

Keywords

ENG
autocorrelation function, antibody, antigen, immune system organ-target, Hopf bifurcation, plasma cell, periodicity

Bibliography

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Applicationes Mathematicae
2000/27/1
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Pages:
113-126
Main language of publication
English
Received
1999-12-08
Published
2000
Exact and natural sciences