Geodesic
Behaviour of Solutions to Marchuk's Model Depending on a Time Delay
International Journal of Applied Mathematics and Computer Science, Tome 10 (2000) no. 1, pp. 97-112

Voir la notice de l'article provenant de la source Library of Science

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.
Keywords: antigen, antibody, plasma cell, organ-target, delay differential equation, stationary state, stability, bifurcation point
Mots-clés : antygen, przeciwciało, opóźnienie różniczkowe 
@article{IJAMCS_2000_10_1_a4,
     author = {Bodnar, M. and Fory\'s, U.},
     title = {Behaviour of {Solutions} to {Marchuk's} {Model} {Depending} on a {Time} {Delay}},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {97--112},
     publisher = {mathdoc},
     volume = {10},
     number = {1},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_1_a4/}
}
TY  - JOUR
AU  - Bodnar, M.
AU  - Foryś, U.
TI  - Behaviour of Solutions to Marchuk's Model Depending on a Time Delay
JO  - International Journal of Applied Mathematics and Computer Science
PY  - 2000
SP  - 97
EP  - 112
VL  - 10
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_1_a4/
LA  - en
ID  - IJAMCS_2000_10_1_a4
ER  - 
%0 Journal Article
%A Bodnar, M.
%A Foryś, U.
%T Behaviour of Solutions to Marchuk's Model Depending on a Time Delay
%J International Journal of Applied Mathematics and Computer Science
%D 2000
%P 97-112
%V 10
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_1_a4/
%G en
%F IJAMCS_2000_10_1_a4
Bodnar, M.; Foryś, U. Behaviour of Solutions to Marchuk's Model Depending on a Time Delay. International Journal of Applied Mathematics and Computer Science, Tome 10 (2000) no. 1, pp. 97-112. http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_1_a4/