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 Cet article a éte moissonné depuis la source Library of Science

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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 
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     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},
     year = {2000},
     volume = {10},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_1_a4/}
}
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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/