Research

My research focuses on the stability of stochastic functional differential equations (SFDEs) and the long-term behavior of general population models that include time delays and environmental fluctuations. 

Related publications:

[1] Dang H Nguyen, Trang Ta, "Stochastic predator-prey models with distributed delay", Journal of Mathematical Analysis and Applications (Under Review), 2026. 

[2] Alexandru Hening, Dang H Nguyen, Trang Ta, and Sergiu C. Ungureanu, ” Long-term behavior of stochastic SIQRS epidemic models”, Journal of Mathematical Biology, vol. 90, no. 4, pp. 41, 2025.  https://doi.org/10.1007/s00285-025-02204-1

[3] Dang H Nguyen, Nhu N Nguyen, Trang Ta, and George Yin, ”Stability of Stochastic Functional Differential Equations under Past-Dependent Random Switching with Countably Infinite States”, IEEE Transactions on Automatic Control, vol. 69, no. 3, pp. 1612-1626, 2024. 

https://doi.org/10.1109/TAC.2023.3326362

Current projects:

[1] Dang H Nguyen, Trang Ta, "Stochastic Functional Kolmogorov Equations with unbounded delays", 2026.

In addition to my research on SDEs, SFDEs, and their applications, I continue to pursue my interests in Probability Theory, which began during my undergraduate studies. My research interests in this area include limit theorems in probability and their statistical applications.

Related publications:

[1] TC Son, NT Duc, LV Dung, and Trang Ta, "General results on the Baum-Katz theorem for randomly weighted sum of pairwise independent random variables via the theory of regular variation" (submitted), 2026.

[2] TC Son, LV Dung, NT Duc, and Trang Ta, "General results on complete convergence for randomly weighted sum of m-asymptotic negatively associated random variables and applications to the nonparametric regression models", Statistical Papers (Under Review), 2026.

[3] TC Son, NT Duc, Trang Ta, and LV Dung, ”A general result on Hsu-Robbins-Erd˝os for randomly weighted sum of ρ^*-mixing processes via the theory of the regular variation and its applications”, Revista de la Real Academia de Ciencias Exactas, F´ısicas y Naturales. Serie A. Matem´aticas (accepted), 2026.

[4] TC Son, LV Dung, Dat Do, and Trang Ta, ”Generalized Marcinkiewicz Laws for Weighted Dependent Random Vectors in Hilbert Spaces”, Theory of Probability and its Applications, vol. 67, No. 3, pp. 434–451, 2022. https://doi.org/10.1137/S0040585X97T991039

My undergrad thesis was about the Bohl-Perron Theorem for linear random dynamical systems.

Related Publications:

[1] NH Du, TM Cuong, and Trang Ta, ”Bohl-Perron theorem for random dynamical systems”, Stochastics and Dynamics, vol. 23, no. 1, 2350010, 2023. https://doi.org/10.1142/S0219493723500107