57 citations · 95 across the 10 of their papers we have counts for
15 papers
Stability and Stabilization of Coupled Jump Diffusions and Applications
Dang Nguyen, Duy Nguyen, Nhu Nguyen +1
This paper develops stability and stabilization results for systems of fully coupled jump diffusions. Such systems frequently arise in numerous applications where each subsystem (c…
Stochastic Functional Kolmogorov Equations II: Extinction
Dang H. Nguyen, Nhu N. Nguyen, George Yin
This work, Part II, together with its companion Part I develops a new framework for stochastic functional Kolmogorov equations, which are nonlinear stochastic differential equation…
Stochastic Functional Kolmogorov Equations (I): Persistence
Dang H. Nguyen, Nhu N. Nguyen, George Yin
This work (Part (I)) together with its companion (Part (II) [45]) develops a new framework for stochastic functional Kolmogorov equations, which are nonlinear stochastic differenti…
A method to deal with the critical case in stochastic population dynamics
Dang H. Nguyen, Edouard Strickler
In numerous papers, the behaviour of stochastic population models is investigated through the sign of a real quantity which is the growth rate of the population near the extinction…
Extinction and permanence in a stochastic SIRS model in regime-switching with general incidence rate
T. D. Tuong, Dang H. Nguyen, N. T. Dieu +1
In this paper, we consider a stochastic SIRS model with general incidence rate and perturbed by both white noise and color noise. We determine the threshold that is used to cla…
Analysis of A Spatially Inhomogeneous Stochastic Partial Differential Equation Epidemic Model
Dang H Nguyen, Nhu N Nguyen, George Yin
This work proposes and analyzes a family of spatially inhomogeneous epidemic models. This is our first effort to use stochastic partial differential equations (SPDEs) to model epid…