Abstract
Abstract: Mathematical models and simulation studies are powerful tools to investigate dynamic properties of complex systems. Complex models with constant parameters often approach a steady state. In this research, we present an overview of mathematical approaches applied to the description of control population tumor cells. We are researching the influence of D-factor on tumor cells population. We called it compensatory effect. There is Vaccination as biological analogue of the compensator effect. D-factor is presented as catastrophe theory’s fold form. Further, numeric results of model experiments are showing that this approach is positive efficient.