Professor Xuerong Mao
Mathematics and Statistics
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Area of Expertise
Stochastic differential equations and their applications.
Prize And Awards
- Award of Highly Ranked Scholar - Lifetime by ScholarGPS 2024
- Recipient
- 2024
- 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
- 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
- Wiley award of Top Cited Article 2020-2021.
- Recipient
- 2021
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Publications
- Stationary distribution of periodic stochastic differential equations with Markov switching
- Cai Yongmei, Li Yuyuan, Mao Xuerong
- Journal of Mathematical Analysis and Applications Vol 537 (2024)
- https://doi.org/10.1016/j.jmaa.2024.128291
- An SEIHR model with age group and social contact for analysis of Fuzhou COVID-19 large wave
- Lan Xiaomin, Chen Guangmin, Zhou Ruiyang, Zheng Kuicheng, Cai Shaojian, Wei Fengying, Jin Zhen, Mao Xuerong
- Infectious Disease Modelling Vol 9, pp. 728-743 (2024)
- https://doi.org/10.1016/j.idm.2024.04.003
- Dynamics of a dengue transmission model with multiple stages and fluctuations
- Wang Zuwen, Cai Shaojian, Chen Guangmin, Zheng Kuicheng, Wei Fengying, Jin Zhen, Mao Xuerong, Xie Jianfeng
- Mathematics Vol 12 (2024)
- https://doi.org/10.3390/math12162491
- 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
- Adaptive control and synchronization of complex dynamical systems with various types of delays and stochastic disturbances
- Zhou Shijie, Peng Xiaoxiao, Lin Wei, Mao Xuerong
- SIAM Journal on Applied Mathematics Vol 84, pp. 1515 - 1531 (2024)
- https://doi.org/10.1137/24M1639440
- The modified truncated Euler-Maruyama method for stochastic differential equations with concave diffusion coefficients
- Tang Yiyi, Mao Xuerong
- Journal of Computational and Applied Mathematics Vol 440 (2024)
- https://doi.org/10.1016/j.cam.2023.115660
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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
- Stochastic Differential Equations: Theory, Numeric and Applications (Saltire Facilitation Award)
- Mao, Xuerong (Principal Investigator)
- 01-Jan-2022 - 31-Dec-2023
- Ergodicity and invariant measures of stochastic delay systems driven by various noises and their applications (Prof. Fuke Wu)
- Mao, Xuerong (Principal Investigator)
- 16-Mar-2017 - 15-Jun-2020
- Long-time dynamics of numerical solutions of stochastic differential equations
- Mao, Xuerong (Principal Investigator)
- 01-Oct-2016 - 30-Sep-2021
- Numerical Analysis of Stochastic Differential Equations: New Challenges
- Mao, Xuerong (Principal Investigator)
- 01-Oct-2015 - 30-Sep-2017
- Environment-Ecosystem-Health dynamics under Stochastic Environment
- Mao, Xuerong (Principal Investigator)
- 01-Mar-2014 - 29-Feb-2016
- Workshop on SDDEs
- Mao, Xuerong (Principal Investigator)
- 10-Jun-2013 - 11-Jun-2013