Geodesic
Periodic dynamics in a model of immune system
Applicationes Mathematicae, Tome 27 (2000) no. 1, pp. 113-126.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/am-27-1-113-126
Keywords: autocorrelation function, antibody, antigen, immune system organ-target, Hopf bifurcation, plasma cell, periodicity

Marek Bodnar 1 ; Urszula Foryś 1

1 
@article{10_4064_am_27_1_113_126,
     author = {Marek Bodnar and Urszula Fory\'s},
     title = {Periodic dynamics in a model of immune system},
     journal = {Applicationes Mathematicae},
     pages = {113--126},
     publisher = {mathdoc},
     volume = {27},
     number = {1},
     year = {2000},
     doi = {10.4064/am-27-1-113-126},
     zbl = {1007.34067},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am-27-1-113-126/}
}
TY  - JOUR
AU  - Marek Bodnar
AU  - Urszula Foryś
TI  - Periodic dynamics in a model of immune system
JO  - Applicationes Mathematicae
PY  - 2000
SP  - 113
EP  - 126
VL  - 27
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am-27-1-113-126/
DO  - 10.4064/am-27-1-113-126
LA  - en
ID  - 10_4064_am_27_1_113_126
ER  - 
%0 Journal Article
%A Marek Bodnar
%A Urszula Foryś
%T Periodic dynamics in a model of immune system
%J Applicationes Mathematicae
%D 2000
%P 113-126
%V 27
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am-27-1-113-126/
%R 10.4064/am-27-1-113-126
%G en
%F 10_4064_am_27_1_113_126
Marek Bodnar; Urszula Foryś. Periodic dynamics in a model of immune system. Applicationes Mathematicae, Tome 27 (2000) no. 1, pp. 113-126. doi : 10.4064/am-27-1-113-126. http://geodesic.mathdoc.fr/articles/10.4064/am-27-1-113-126/

Cité par Sources :