The model analyzed in this paper is based on the model set forth by V.A. Kuznetsov and M.A. Taylor, which describes a competition between the tumor and immune cells. Kuznetsov and Taylor assumed that tumor-immune interactions can be described by a Michaelis-Menten function. In the present paper a simplified version of the Kuznetsov-Taylor model (where immune reactions are described by a bilinear term) is studied. On the other hand, the effect of time delay is taken into account in order to achieve a better compatibility with reality.
@article{bwmeta1.element.bwnjournal-article-amcv13i3p395bwm,
author = {Galach, Magda},
title = {Dynamics of the tumor-immune system competition - the effect of time delay},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {13},
year = {2003},
pages = {395-406},
zbl = {1035.92019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv13i3p395bwm}
}
Galach, Magda. Dynamics of the tumor-immune system competition - the effect of time delay. International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) pp. 395-406. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv13i3p395bwm/
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