Stochastic resonance and stability for a time-delayed cancer growth system subjected to multiplicative and additive noises

Abstract

In the present paper, the steady-state properties of a time-delayed cancer growth system that is driven by a correlated multiplicative noise and an additive one are investigated. The numerical results show that the conventional stochastic resonance (SR) phenomenon occurs in the tumor cell growth model for different system parameter values. The results indicate that the additive noise strength always weakens the SR phenomenon, while the time delay mainly increases the SR phenomenon. On the other hand, it is shown that the effects of the strength of the multiplicative noise are different.