The association between noise exposure and increased risk of cancer has received little
attention in the field of research. Therefore, the goal of this study was to conduct a systematic …

The fundamental importance of functional differential equations has been recognized in
many areas of mathematical physics, such as fluid dynamics (Hopf characteristic functional …

Noise-induced phenomena characterise the nonlinear relaxation of nonequilibrium physical
systems towards equilibrium states. Often, this relaxation process proceeds through …

We briefly review the statistical properties of the escape times, or hitting times, for stock price
returns by using different models which describe the stock market evolution. We compare …

We propose a noise-assisted tumor-immune system based on the Wiener process.
Stochastic sensitivity and chaos both are studied with the variations of noise strengths. The …

This work analyzes numerically the role played by the asymmetry of a piecewise linear
potential, in the presence of both a Gaussian white noise and a dichotomous noise, on the …

The mean first passage time of a Brownian particle from an initial unstable state in a
metastable system with dam** is investigated. The system is analyzed in the low to high …

We present a study of the escape time from a metastable state of an overdamped Brownian
particle in the presence of colored noise generated by Ornstein-Uhlenbeck process. We …

A dynamical model submerged in two colored multiplicative and additive noises by colored
cross-correlation is established to elaborate controllable asymmetric potential-well with …

We propose two different approaches generalizing the Karhunen–Loève series expansion
to model and simulate multi-correlated non-stationary stochastic processes. The first …