Mean first-passage time in a delayed tristable system driven by correlated multiplicative and additive white noises

P Xu, Y Jin - Chaos, Solitons & Fractals, 2018 - Elsevier
This paper investigates the mean first-passage times (MFPTs) of a delayed tristable system
driven by correlated multiplicative and additive noises. The results suggest that the …

Long-and short-time asymptotics of the first-passage time of the Ornstein–Uhlenbeck and other mean-reverting processes

RJ Martin, MJ Kearney, RV Craster - Journal of Physics A …, 2019 - iopscience.iop.org
The first-passage problem of the Ornstein–Uhlenbeck process to a boundary is a long-
standing problem with no known closed-form solution except in specific cases. Taking this …

Exact simulation of first exit times for one-dimensional diffusion processes

S Herrmann, C Zucca - ESAIM: Mathematical Modelling and …, 2020 - esaim-m2an.org
The simulation of exit times for diffusion processes is a challenging task since it concerns
many applications in different fields like mathematical finance, neuroscience, reliability …

First-passage times and related moments for continuous-time birth–death chains

V Giorno, AG Nobile - Ricerche di Matematica, 2019 - Springer
First-passage time problems for continuous-time birth–death chains are considered.
Recursive formulas for the moments of the first-exit time and of the first-passage time in …

Gaussian and Lévy noises excited delayed tumor growth model: first-passage behavior and stochastic resonance

Q Yu, Y Guo, H Chen - Physica Scripta, 2024 - iopscience.iop.org
In this paper, we analyze the dynamical behavior of a delayed tumor growth model under
the joint effect of Gaussian white noise and Lévy noise by studying the mean first passage …

Mean first-passage time for a stochastic tumor growth model with two different time delays

Q Yu, YF Guo, HY Chen - Indian Journal of Physics, 2024 - Springer
In this paper, the mean first-passage time (MFPT) of a stochastic tumor growth model driven
by correlated white noises with two different time delays is investigated. The small time delay …

On the first-passage times of certain Gaussian processes, and related asymptotics

M Abundo - Stochastic Analysis and Applications, 2021 - Taylor & Francis
The first-passage time τ S (x) of a one-dimensional continuous stochastic process X (t),
starting from x≤ S (0), through a smooth boundary S (t) is investigated; in particular …

First passage times for some classes of fractional time-changed diffusions

N Leonenko, E Pirozzi - Stochastic Analysis and Applications, 2022 - Taylor & Francis
We consider some time-changed diffusion processes obtained by applying the Doob
transformation rule to a time-changed Brownian motion. The time-change is obtained via the …

On the simulation of a special class of time-inhomogeneous diffusion processes

V Giorno, AG Nobile - Mathematics, 2021 - mdpi.com
General methods to simulate probability density functions and first passage time densities
are provided for time-inhomogeneous stochastic diffusion processes obtained via a …

A symmetry-based approach for first-passage-times of Gauss-Markov processes through Daniels-type boundaries

E Pirozzi - Symmetry, 2020 - mdpi.com
Symmetry properties of the Brownian motion and of some diffusion processes are useful to
specify the probability density functions and the first passage time density through specific …