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 …
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 …
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 …
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
A dynamical model submerged in two colored multiplicative and additive noises by colored
cross-correlation is established to elaborate controllable asymmetric potential-well with …
cross-correlation is established to elaborate controllable asymmetric potential-well with …
Karhunen–Loève expansion for multi-correlated stochastic processes
We propose two different approaches generalizing the Karhunen–Loève series expansion
to model and simulate multi-correlated non-stationary stochastic processes. The first …
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
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 …
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 …
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 …
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
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 …
joint response-excitation probability density function of a stochastic dynamical system driven …
Numerical methods for high-dimensional probability density function equations
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 …
differential equations involving many phase variables. These types of equations arise …