Research interests:
Applied Mathematics, Probability and Applied Probability:
Publications:
31. Second-Order Fast-Slow Stochastic Systems (with G. Yin), SIAM Journal on Mathematical Analysis, to appear. [arXiv]
30. An Efficient method to Simulate Diffusion Bridges (with H. Chau, J. Kirkby, D. Nguyen, Duy Nguyen, T. Nguyen), Statistics and Computing, to appear.
29. Longtime behavior of impulsive stochastic vegetation ecosystem with jump-diffusion, (with T. Tuong, D. Nguyen), Numerical Algebra, Control and Optimization, to appear.
28. On The Inversion-free Newton’s Method And Its Applications (with H. Chau, J. Kirkby, D. Nguyen, Duy Nguyen, T. Nguyen), International Statistical Review, to appear.
27. Hybrid stochastic SIS epidemic models with vaccination: stability of the disease-free state and applications (with T. Hieu, D. Nguyen, T. Tuong), Nonlinear Analysis: Hybrid Systems, Vol. 53 (2024), 101492. [Journal]
26. Stability of Stochastic Functional Differential Equations with Past-Dependent Random Switching Involving Countably Infinite States (with D. Nguyen, T. Trang, G. Yin), IEEE Transactions on Automatic Control, Vol. 69 (2024), 1612-1626. [Journal] [pdf]
25. Analyzing a class of stochastic SIRS models under imperfect vaccination (with N. Hieu, D. Nguyen, G. Yin), Journal of the Franklin Institute, Vol. 361 (2024), 1284-1302. [Journal] [pdf]
24. Stochastic Multi-group Epidemic SVIR Models: Degenerate Case (with D. Nguyen, T. Tuong), Communications in Nonlinear Science and Numerical Simulation, Vol. 128 (2024), 107588. [Journal] [pdf]
23. Stability and Stabilization of Coupled Jump Diffusions and Applications (with D. Nguyen, Duy Nguyen, G. Yin), Journal of Differential Equations, Vol 379 (2024), 175-206. [Journal] [arXiv]
22. Stochastic nutrient-plankton models (with A. Hening, N. Hieu, D. Nguyen), Journal of Differential Equations, Vol. 376 (2023), 370-405. [Journal] [arXiv]
21. A stochastic epidemic SIR model with hidden states (with N. Du, A. Hening, G. Yin), Nonlinear Analysis: Hybrid Systems, Vol. 49 (2023), 101368. [Journal] [arXiv]
20. Stochastic Approximation with Discontinuous Dynamics, Differential Inclusions, and Applications (with G. Yin), Annals of Applied Probability, Vol. 33 (2023), 780–823. [Journal] [arXiv]
19. Random switching in an ecosystem with two prey and one predator (with A. Hening, D. Nguyen, H. Watts), SIAM Journal on Mathematical Analysis, Vol 55 (2023), 347-366. [Journal] [arXiv]
18. Exponential tightness of a family of Skorohod integrals, Electronic Communications in Probability, Vol. 27 (2022), paper no. 1, 1-14. [Journal] [arXiv]
17. Maximum likelihood estimation of diffusion using continuous time Markov chain (with J. Kirkby, D. Nguyen, Duy Nguyen), Computational Statistics and Data Analysis, Vol. 168 (2022), 107408. [Journal] [arXiv]
16. Inversion-free Subsampling Newtons Method For Large Sample Logistic Regression (with J. Kirkby, D. Nguyen, Duy Nguyen), Statistical Papers, Vol. 63 (2022), 943-963. [Journal] [pdf]
15. Stochastic Functional Kolmogorov Equations I: Persistence (with D. Nguyen, G. Yin), Stochastic Processes and their Applications, Vol. 142 (2021), 319-364. [Journal] [arXiv]
14. Stochastic Functional Kolmogorov Equations II: Extinction (with D. Nguyen, G. Yin), Journal of Differential Equations, Vol. 294 (2021), 1-39. [Journal] [arXiv]
13. Large Deviations Principles for Langevin Equations in Random Environment and Applications (with G. Yin), Journal of Mathematical Physics, Vol. 62 (2021), 083301. [Journal] [arXiv]
12. Stochastic Lotka-Volterra Competitive Reaction-Diffusion Systems Perturbed by Space-Time White Noise: Modeling and Analysis (with G. Yin), Journal of Differential Equations, Vol. 282 (2021), 184-232. [Journal] [arXiv]
11. Stability of Stochastic Functional Differential Equations with Random Switching and Applications (with N. Du, D. Nguyen, G. Yin), Automatica, Vol. 125 (2021), 109410. [Journal] [pdf]
10. Characterization of long-term behavior of stochastic NP ecological model under regime switching (with T. Tuong), Communications in Nonlinear Science and Numerical Simulation, Vol. 93 (2021), 105497. [Journal] [pdf]
9. Longtime behavior of a class of stochastic tumor-immune systems (with T. Tuong, G. Yin), Systems & Control Letters, Vol. 146 (2020), 104806. [Journal] [pdf]
8. Permanence and Extinction for the Stochastic SIR Epidemic Model (with N. Du), Journal of Differential Equations, Vol. 269 (2020), 9619-9652. [Journal] [arXiv]
7. General Nonlinear Stochastic Systems Motivated by Chemostat Models: Complete Characterization of Long-Time Behavior, Optimal Controls, and Applications to Wastewater Treatment (with D. Nguyen, G. Yin), Stochastic Processes and their Applications, Vol. 130 (2020), 4608-4642. [Journal] [arXiv]
6. A Class of Langevin Equations with Markov Switching Involving Strong Damping and Fast Switching (with G. Yin), Journal of Mathematical Physics, Vol. 61 (2020), 063301. [Journal] [pdf]
5. Analysis of A Spatially Inhomogeneous Stochastic Partial Differential Equation Epidemic Model (with D. Nguyen, G. Yin), Journal of Applied Probability, Vol. 57 (2020), 613-636. [Journal] [arXiv]
4. Stochastic Partial Differential Equation Models for Spatially Dependent Predator-Prey Equations (with G. Yin), Discrete and Continuous Dynamical Systems-Series B, Vol. 25 (2020), 117-139. [Journal] [arXiv]
3. Stochastic Partial Differential Equation SIS Epidemic Models: Modeling and Analysis (with G. Yin), Communication on Stochastic Analysis, Vol. 13 (2019). [Journal] [pdf]
2. Conditions for Permanence and Ergodicity of Certain SIR Epidemic Models (with N. Dieu, N. Du), Acta Applicandae Mathematicae, Vol. 160 (2019), 81-99. [Journal] [pdf]
1. Permanence and extinction of certain stochastic SIR models perturbed by a complex type of noises (with N. Du), Applied Mathematics Letters, Vol. 64 (2017), 223-230. [Journal] [pdf]