Stochastic phenomena in the dynamical tumor-immune system

Abstract

A nonlinear dynamical model describing the interaction of tumor and immune cells is considered. Regimes of "dormant tumor" and "tumor explosion" are studied by methods of the bifurcation theory and stochastic simulation. Noise-induced transitions from "dormant tumor" to "tumor explosion" and back are investigated parametrically in dependence of the noise intensity and parameter of the inactivation of immune cells by tumor ones. Three scenarios of the noise-induced transitions are discussed: (i) from "dormant tumor" to "tumor explosion", (ii) from "tumor explosion" to "dormant tumor", (iii) oscillations between these two regimes. © 2019 Author(s).