A stochastic SICA model for HIV/AIDS transmission

Y Tan, Y Cai, X Sun, K Wang, R Yao, W Wang… - Chaos, Solitons & …, 2022 - Elsevier
In this paper, we present a stochastic HIV/AIDS model with standard incidence rate to
investigate the impact of random fluctuations on the HIV viral dynamics. Firstly, the sufficient …

The numerical approximation of nonlinear functionals and functional differential equations

D Venturi - Physics Reports, 2018 - Elsevier
The fundamental importance of functional differential equations has been recognized in
many areas of mathematical physics, such as fluid dynamics (Hopf characteristic functional …

Spatiotemporal diffusion as early warning signal for critical transitions in spatial tumor-immune system with stochasticity

Z Ma, Y Luo, C Zeng, B Zheng - Physical Review Research, 2022 - APS
Complex dynamical systems have tip** points and exhibit nonlinear dynamics. It is difficult
to predict and prevent the onset and progression of the tumors, mainly due to the complexity …

Stochastic resonance induced weak signal enhancement over controllable potential-well asymmetry

J Liu, Z Qiao, X Ding, B Hu, C Zang - Chaos, Solitons & Fractals, 2021 - Elsevier
A dynamical model submerged in two colored multiplicative and additive noises by colored
cross-correlation is established to elaborate controllable asymmetric potential-well with …

Karhunen–Loève expansion for multi-correlated stochastic processes

H Cho, D Venturi, GE Karniadakis - Probabilistic Engineering Mechanics, 2013 - Elsevier
We propose two different approaches generalizing the Karhunen–Loève series expansion
to model and simulate multi-correlated non-stationary stochastic processes. The first …

Noises-induced regime shifts and-enhanced stability under a model of lake approaching eutrophication

C Zeng, C Zhang, J Zeng, H Luo, D Tian, H Zhang… - Ecological …, 2015 - Elsevier
In this paper, we study the lake eutrophication by using a stochastic model that includes both
input noise and recycling noise. The effects of the input noise (α), the recycling noise (D) and …

Noise-induced dynamics in a single species model with Allee effect driven by correlated colored noises

X Yu, Y Ma - Journal of Theoretical Biology, 2023 - Elsevier
In this paper, a single species model with Allee effect driven by correlated colored noises is
proposed and investigated. The stationary probability density of the model is obtained using …

Study on stationary probability density of a stochastic tumor-immune model with simulation by ANN algorithm

W Li, Y Zhang, D Huang, V Rajic - Chaos, Solitons & Fractals, 2022 - Elsevier
In this paper, the theoretic analysis by stochastic dynamics and numerical simulation by
ANN algorithm for tumor-immune models driven by random noises are studied. Firstly, a …

A computable evolution equation for the joint response-excitation probability density function of stochastic dynamical systems

D Venturi, TP Sapsis, H Cho… - Proceedings of the …, 2012 - royalsocietypublishing.org
By using functional integral methods, we determine a computable evolution equation for the
joint response-excitation probability density function of a stochastic dynamical system driven …

Numerical methods for high-dimensional probability density function equations

H Cho, D Venturi, GE Karniadakis - Journal of Computational Physics, 2016 - Elsevier
In this paper we address the problem of computing the numerical solution to kinetic partial
differential equations involving many phase variables. These types of equations arise …