3 citations · 6 across the 5 of their papers we have counts for
5 papers
Stochastic epidemic SIR models with hidden states
Nguyen Du, Alexandru Hening, Nhu Nguyen +1
This paper focuses on and analyzes realistic SIR models that take stochasticity into account. The proposed systems are applicable to most incidence rates that are used in the liter…
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…
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…
Classification of Asymptotic Behavior in A Stochastic SIR Model
N. T. Dieu, D. H. Nguyen, N. H. Du +1
This paper investigates asymptotic behavior of a stochastic SIR epidemic model, which is a system with degenerate diffusion. It gives sufficient conditions that are very close to t…
Conditions for Permanence and Ergodicity of Certain Stochastic Predator-Prey Models
Nguyen Huu Du, Hai Dang Nguyen, George Yin
This work derives sufficient conditions for the permanence and ergodicity of a stochastic predator-prey model with Beddington-DeAngelis functional response. The conditions obtained…