LAUSR

Abstract In this paper, we investigate the dynamical properties of active Brownian particles (ABPs) in the Schweitzer-Ebeling-Tilch (SET) model with time delay feedback which is driven by external and internal noises. The effects of time delay feedback, external and internal noises on the stationary probability distribution (SPD) and the mean first passage time (MFPT) of the ABPs are discussed, respectively. The results are shown as following: (i) the intensity of time delay feedback ( K ) can induce the transition between bimodal to unimodal states in the motion of a particle on the SPD, and the time delay can enhance the impacts of the intensity of time delay feedback K inducing transitions from the two stable states (ii) the MFPT as function of the noise strengths shows a maximum, which implies the signature of noise-enhanced stability (NES) phenomenon of the velocity v − in the ABPs for SET model. The positive or negative time delay feedback can enhance or weaken the stability of the motion of the ABPs.