
Professor Xuerong Mao
Mathematics and Statistics
Back to staff profile
Area of Expertise
Stochastic differential equations and their applications.
Prize And Awards
- Award of Highly Ranked Scholar - Lifetime by ScholarGPS 2025
- Recipient
- 2025
- Strathclyde Teaching Excellent Award 2024: Winner of Most Memorable Category.
- Recipient
- 2024
- Research.com Mathematics in United Kingdom Leader Award 2024: ranked #95 in the world ranking and #5 in United Kingdom.
- Recipient
- 2024
- Award of Highly Ranked Scholar - Lifetime by ScholarGPS 2024
- Recipient
- 2024
- Research.com Mathematics in United Kingdom Leader Award 2023: ranked #86 in the world ranking and #4 in United Kingdom.
- Recipient
- 2023
- Research.com Mathematics in United Kingdom Leader Award 2022: ranked #95 in the world ranking and #1 in United Kingdom.
- Recipient
- 2022
Back to staff profile
Publications
- Stationary distribution and extinction of an HCV transmission model with protection awareness and environmental fluctuations
- Wang Liangwei, Wei Fengying, Jin Zhen, Mao Xuerong
- Applied Mathematics Letters Vol 160 (2025)
- https://doi.org/10.1016/j.aml.2024.109356
- HCV transmission model with protection awareness in an SEACTR community
- Wang Liangwei, Wei Fengying, Jin Zhen, Mao Xuerong, Cai Shaojian, Chen Guangmin, Zheng Kuicheng, Xie Jianfeng
- Infectious Disease Modelling Vol 10, pp. 559-570 (2025)
- https://doi.org/10.1016/j.idm.2024.12.014
- Stabilisation in distribution of periodic hybrid systems by discrete-time state feedback control
- Liu Zhijun, Hu Junhao, Mao Xuerong
- SIAM Journal on Control and Optimization (2024)
- Razumikhin technique for stabilisation of highly nonlinear hybrid systems by bounded discrete-time state feedback control working intermittently
- Xu Henglei, Mao Xuerong
- Numerical Algebra, Control and Optimization Vol 14, pp. 669-687 (2024)
- https://doi.org/10.3934/naco.2024003
- Stabilization of hybrid stochastic differential equations by delay feedback control based on discrete-time observations
- Chen Xing, Li Xiaoyue, Mao Xuerong
- Numerical Algebra, Control and Optimization Vol 14, pp. 706-723 (2024)
- https://doi.org/10.3934/naco.2024009
- A new criterion on stability in distribution for a hybrid stochastic delay differential equation
- Lv Can, You Surong, Hu Liangjian, Mao Xuerong
- Journal of the Franklin Institute Vol 361 (2024)
- https://doi.org/10.1016/j.jfranklin.2024.107169
Back to staff profile
Research Interests
My research interests are mainly in the areas of stochastic differential equations and their applications. The reseach topics include the existence-and-uniqueness theory of the solutions to SDEs, stochastic stability, stochastic stabilisation by feedback controls, stationary distributions, asymptotic estimations, finite-time convergences of numerical solutions, asymptotic analysis of numerical solutions as well as stochastic modelling in finance, engineering, population systems, ecology etc.
Professional Activities
- The 5th International Conference on Bio-mathematical Modelling and Stochastic Analysis, Huaian, China, 18-21 April 2024.
- Chair
- 21/4/2024
- Workshop of SDEs and Their Applications, Donghua University, Shanghai, China,18-19 Nov 2023.
- Keynote/plenary speaker
- 18/11/2023
- International Symposium on Stochastic Systems Theory and Intelligent Control, Wuhu, Anhui, China, 1-4 August 2023.
- Keynote/plenary speaker
- 1/8/2023
- International Conference on Bio-mathematical and Dynamical Systems, Enshi, China, 9-12 July 2023.
- Keynote/plenary speaker
- 9/7/2023
- Keynote talk on "Advances in nonlinear hybrid SDDEs: Existence, Boundedness and Stability" at the 10th TCCT Conference on Stochastic Systems and Controls, Wuhan, China, 4-7 May 2023.
- Keynote/plenary speaker
- 4/5/2023
- Chairman of the 4th International Conference on Biomathematical Modelling and Stochastic Analysis, Xuzhou, China, 27 April -1 May 2023.
- Organiser
- 27/4/2023
Projects
- Stabilization of Hybrid Stochastic Differential Equations by Discrete-Time-State-Feedback Control
- Mao, Xuerong (Principal Investigator)
- 02-Jan-2025 - 09-Jan-2025
- DMS-EPSRC: Stabilization using feedback controls, numerical methods for stochastic systems, and systems with mean-field interactions (EPSRC / NSF scheme)
- Mao, Xuerong (Principal Investigator)
- 01-Jan-2025 - 31-Jan-2027
- Stochastic Differential Equations: Theory, Numeric and Applications (Saltire Facilitation Award)
- Mao, Xuerong (Principal Investigator)
- 01-Jan-2022 - 31-Jan-2023
- Ergodicity and invariant measures of stochastic delay systems driven by various noises and their applications (Prof. Fuke Wu)
- Mao, Xuerong (Principal Investigator)
- 16-Jan-2017 - 15-Jan-2020
- Long-time dynamics of numerical solutions of stochastic differential equations
- Mao, Xuerong (Principal Investigator)
- 01-Jan-2016 - 30-Jan-2021
- Numerical Analysis of Stochastic Differential Equations: New Challenges
- Mao, Xuerong (Principal Investigator)
- 01-Jan-2015 - 30-Jan-2017