# DYNAMICS OF THE TUMOR—IMMUNE SYSTEM COMPETITION—THE EFFECT OF TIME DELAY

@article{Galach2003DYNAMICSOT, title={DYNAMICS OF THE TUMOR—IMMUNE SYSTEM COMPETITION—THE EFFECT OF TIME DELAY}, author={Magda Galach}, journal={International Journal of Applied Mathematics and Computer Science}, year={2003}, volume={13}, pages={395-406} }

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…

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Series Preface * Preface to the Third Edition * 1 Linear Systems * 2 Nonlinear Systems: Local Theory * 3 Nonlinear Systems: Global Theory * 4 Nonlinear Systems: Bifurcation Theory * References * Index