118 citations · 247 across the 28 of their papers we have counts for
12 papers · 1 filter
Long-Run Average Sustainable Harvesting Policies: Near Optimality
Dang H. Nguyen, George Yin
This paper develops near-optimal sustainable harvesting strategies for the predator in a predator-prey system. The objective function is of long-run average per unit time type. To…
Recurrence for linearizable switching diffusion with past dependent switching and countable state space
Dang H. Nguyen, George Yin
This work continues and substantially extends our recent work on switching diffusions with the switching processes that depend on the past states and that take values in a countabl…
Stability of Regime-Switching Diffusion Systems with Discrete States Belonging to a Countable Set
Dang H. Nguyen, George Yin
This work focuses on stability of regime-switching diffusions consisting of continuous and discrete components, in which the discrete component switches in a countably infinite set…
General Nonlinear Stochastic Systems Motivated by Chemostat Models: Complete Characterization of Long-Time Behavior, Optimal Controls, and Applications to Wastewater Treatment
Dang H. Nguyen, Nhu Nguyen, George Yin
The paper considers a chemostat model describing an activated sludge process in wastewater treatment. The model is assumed to be subject to environment noise in terms of both white…
Asymptotic harvesting of populations in random environments
Alexandru Hening, Dang H. Nguyen, Sergiu C. Ungureanu +1
We consider the harvesting of a population in a stochastic environment whose dynamics in the absence of harvesting is described by a one dimensional diffusion. Using ergodic optima…
Limit Cycles of Dynamic Systems under Random Perturbations with Rapid Switching and Slow Diffusion: A Multi-Scale Approach
Dang H. Nguyen, Nguyen H. Du, George Yin
This work is devoted to examining qualitative properties of dynamic systems, in particular, limit cycles of stochastic differential equations with both rapid switching and small di…
Recurrence and Ergodicity of Switching Diffusions with Past-Dependent Switching Having A Countable State Space
Dang H. Nguyen, George Yin
This work focuses on recurrence and ergodicity of switching diffusions consisting of continuous and discrete components, in which the discrete component takes values in a countably…
Certain Properties Related to Well Posedness of Switching Diffusions
Dang H Nguyen, George Yin, Chao Zhu
This work is devoted to switching diffusions that have two components (a continuous component and a discrete component). Different from the so-called Markovian switching diffusions…
Modeling and Analysis of Switching Diffusion Systems: Past-Dependent Switching with a Countable State Space
Dang H. Nguyen, George Yin
Motivated by networked systems in random environment and controlled hybrid stochastic dynamic systems, this work focuses on modeling and analysis of a class of switching diffusions…
Coexistence and extinction for stochastic Kolmogorov systems
Alexandru Hening, Dang H. Nguyen
In recent years there has been a growing interest in the study of the dynamics of stochastic populations. A key question in population biology is to understand the conditions under…
Persistence in Stochastic Lotka--Volterra food chains with intraspecific competition
Alexandru Hening, Dang H. Nguyen
This paper is devoted to the analysis of a simple Lotka-Volterra food chain evolving in a stochastic environment. It can be seen as the companion paper of Hening and Nguyen (J. of…
Stochastic Lotka-Volterra food chains
Alexandru Hening, Dang H. Nguyen
We study the persistence and extinction of species in a simple food chain that is modelled by a Lotka-Volterra system with environmental stochasticity. There exist sharp results fo…