Eur. Phys. J. B (2012) 85: 74
https://doi.org/10.1140/epjb/e2012-20607-4

Regular Article

Fractional Gaussian noise-induced evolution and transitionin anti-tumor model

Laboratory of Quantum Information Technology, ICMP and SPTE, South China Normal University, 510006 Guangzhou, P.R. China

^a e-mail: scnuganguli@hotmail.com

Received: 24 July 2011
Received in final form: 1 November 2011
Published online: 22 February 2012

Abstract

Noise induced evolution and transition in an anti-tumor model under immune surveillance are investigated in the presence of additive fractional Gaussian noises. Unlike white Gaussian noise, the Hurst exponent of noise plays a constructive role in the evolution. The noise can also induce the transition. As the noise intensity increases, the noises induced the transition from two states to one state for antipersistent case, whereas the curve always presents a bimodal structure and only the heights of their peaks changed for the persistent case.