Edit Profile (opens in new tab) Mao, Xuerong Compute Distance To: Compute Author ID: mao.xuerong Published as: Mao, Xuerong; Mao, X. Homepage: http://personal.strath.ac.uk/x.mao/ External Links: MGP · ORCID · ResearchGate · dblp · GND Documents Indexed: 330 Publications since 1983, including 5 Books Co-Authors: 144 Co-Authors with 256 Joint Publications 5,058 Co-Co-Authors all top 5 Co-Authors 72 single-authored 30 Yuan, Chenggui 26 Hu, Liangjian 19 Mao, Wei 17 Li, Xiaoyue 17 Liu, Wei 16 Fei, Weiyin 14 Liao, Xiao Xin 14 Wu, Fuke 12 Rodkina, Alexandra 11 Higham, Desmond J. 10 Greenhalgh, David 10 Luo, Qi 10 You, Surong 9 Appleby, John A. D. 9 Fei, Chen 9 Huang, Lirong 7 Deng, Feiqi 7 Lu, Jianqiu 7 Shen, Mingxuan 6 Cai, Yongmei 6 Gray, Alison J. 6 Guo, Qian 6 Lam, James 6 Matasov, Alexander I. 6 Szpruch, Lukasz 6 Yin, Gang George 5 Cai, Siyang 5 Deng, Shounian 5 Kolmanovskii, Vladimir Borisovich 5 Pan, Jiafeng 4 Bahar, Arifah 4 Jiang, Daqing 4 Li, Yuyuan 4 Song, Minghui 4 Yan, Litan 4 Yue, Rongxian 3 Bao, Jianhai 3 Chen, Kan 3 Dalal, Nirav 3 Hu, Junhao 3 Hu, Shigeng 3 Kloeden, Peter Eris 3 Koroleva, N. I. 3 Liu, Kai 3 Pang, Sulin 3 Piunovskiĭ, Alekseĭ Borisovich 3 Qiu, Qinwei 3 Renshaw, Eric 3 Sabanis, Sotirios 2 Bashkov, A. B. 2 Blythe, Steve P. 2 Cao, Jinde 2 Dong, Ran 2 Gao, Huijun 2 Hu, Guangda 2 Intep, Somkid 2 Kelly, Cónall 2 Kou, Chunhai 2 Liang, Yanfeng 2 Liang, Yong 2 Liu, Mingzhu 2 Lygeros, John 2 Marion, Glenn 2 Markus, Lawrence 2 Rassias, Matina John 2 Riedle, Markus 2 Selfridge, C. 2 Shah, Anita 2 Song, Qingshuo 2 Stuart, Andrew M. 2 Wang, Ya 2 Wu, Huizhong 2 Xia, Dengfeng 2 Xu, Shengyuan 2 Yang, Qingshan 2 Yin, George Gang 2 Yin, Juliang 2 Zhang, Liguo 2 Zhao, Yanan 2 Zou, Jiezhong 1 Baduraliya, Chaminda H. 1 Bao, Jundong 1 Böttcher, Björn 1 Cao, Dingzhou 1 Caraballo Garrido, Tomás 1 Chen, Michael Z. Q. 1 Dong, Hailing 1 Emmanuel, Coffie 1 Feng, Lichao 1 Feng, Ling 1 Foondun, Mohammud 1 Giles, Michael B. 1 Huang, Zhigang 1 Jarzebowska, Elzbieta 1 Jiang, Yanan 1 Li, Chanying 1 Li, Shoumei 1 Li, Tao 1 Li, Wenxue 1 Li, Yin ...and 44 more Co-Authors all top 5 Serials 25 Systems & Control Letters 25 Stochastic Analysis and Applications 22 Journal of Mathematical Analysis and Applications 21 Journal of Computational and Applied Mathematics 17 IEEE Transactions on Automatic Control 13 Automatica 13 Discrete and Continuous Dynamical Systems. Series B 9 Applied Mathematics and Computation 9 Stochastic Processes and their Applications 9 Stochastics and Stochastics Reports 6 SIAM Journal on Control and Optimization 6 Functional Differential Equations 5 Applied Numerical Mathematics 5 Stochastics 5 Journal of Nanjing University of Information Science and Technology. Natural Science Edition 4 Journal of the Franklin Institute 4 The Quarterly Journal of Mathematics. Oxford Second Series 4 SIAM Journal on Numerical Analysis 4 Statistics & Probability Letters 4 Journal of Difference Equations and Applications 4 Advances in Difference Equations 4 Nonlinear Analysis. Hybrid Systems 3 BIT 3 Journal of Theoretical Probability 3 SIAM Journal on Mathematical Analysis 3 Discrete and Continuous Dynamical Systems 2 Physica A 2 Chinese Journal of Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Numerische Mathematik 2 Journal of Central China Normal University. Natural Sciences 2 Numerical Algorithms 2 Dynamic Systems and Applications 2 Dynamics of Continuous, Discrete and Impulsive Systems 2 Abstract and Applied Analysis 2 Electronic Journal of Qualitative Theory of Differential Equations 2 LMS Journal of Computation and Mathematics 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Science in China. Series F 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 International Journal of Control 1 Journal of Fluid Mechanics 1 Moscow University Mechanics Bulletin 1 Stochastics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Optimal Control Applications & Methods 1 Bulletin of the Korean Mathematical Society 1 Operations Research Letters 1 Applied Mathematics Letters 1 Journal of Applied Mathematics and Stochastic Analysis 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Applied Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Chinese Science Bulletin 1 International Journal of Robust and Nonlinear Control 1 Neural, Parallel & Scientific Computations 1 Journal of Huazhong University of Science and Technology 1 Random Operators and Stochastic Equations 1 Electronic Journal of Probability 1 Bernoulli 1 Nonlinear Studies 1 Finance and Stochastics 1 European Journal of Control 1 Communications in Applied Analysis 1 Nonlinear Dynamics 1 Chaos 1 Statistical Inference for Stochastic Processes 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 International Mathematical Journal 1 Stochastic Models 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Nonlinear Dynamics and Systems Theory 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Pure and Applied Mathematics 1 Stochastics and Dynamics 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Mathematical Biosciences and Engineering 1 Journal of Control Theory and Applications 1 Journal of Industrial and Management Optimization 1 International Journal of Applied Mathematics and Statistics 1 Pure and Applied Mathematics, Marcel Dekker 1 Journal of Biological Dynamics 1 Computational & Mathematical Methods in Medicine 1 Journal of Applied Probability and Statistics 1 Asian Journal of Control 1 Mathematical Control and Related Fields 1 Journal of Applied Analysis and Computation 1 SIAM/ASA Journal on Uncertainty Quantification ...and 1 more Serials all top 5 Fields 253 Probability theory and stochastic processes (60-XX) 145 Systems theory; control (93-XX) 119 Ordinary differential equations (34-XX) 66 Numerical analysis (65-XX) 43 Biology and other natural sciences (92-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Statistics (62-XX) 6 Difference and functional equations (39-XX) 4 Real functions (26-XX) 4 Partial differential equations (35-XX) 4 Computer science (68-XX) 3 Integral equations (45-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 284 Publications have been cited 11,272 times in 4,641 Documents Cited by ▼ Year ▼ Stochastic differential equations with Markovian switching. Zbl 1126.60002Mao, Xuerong; Yuan, Chenggui 722 2006 Stochastic differential equations and their applications. Zbl 0892.60057Mao, Xuerong 532 1997 Environmental Brownian noise suppresses explosions in population dynamics. Zbl 1058.60046Mao, Xuerong; Marion, Glenn; Renshaw, Eric 429 2002 Stability of large-scale neutral type stochastic differential equations. Zbl 0874.60050Liao, X. X.; Mao, X. 370 1997 Stability of stochastic differential equations with Markovian switching. Zbl 0962.60043Mao, Xuerong 317 1999 A stochastic differential equation SIS epidemic model. Zbl 1263.34068Gray, A.; Greenhalgh, D.; Hu, L.; Mao, X.; Pan, J. 317 2011 Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M. 294 2002 Stochastic differential equations and applications. 2nd ed. Zbl 1138.60005Mao, Xuerong 212 2007 Delay-dependent \(H_{\infty}\) control and filtering for uncertain Markovian jump systems with time-varying delays. Zbl 1374.93134Xu, Shengyuan; Lam, James; Mao, Xuerong 205 2007 Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Zbl 1161.92048Li, Xiaoyue; Mao, Xuerong 204 2009 Exponential stability of stochastic delay interval systems with Markovian switching. Zbl 1364.93685Mao, Xuerong 189 2002 Stochastic population dynamics under regime switching. Zbl 1113.92052Luo, Qi; Mao, Xuerong 172 2007 Competitive Lotka-Volterra population dynamics with jumps. Zbl 1228.93112Bao, Jianhai; Mao, Xuerong; Yin, Geroge; Yuan, Chenggui 172 2011 Almost sure exponential stability of neutral stochastic differential difference equations. Zbl 0884.60052Liao, X. X.; Mao, X. 151 1997 Robustness of exponential stability of stochastic differential delay equations. Zbl 0851.93074Mao, X. 138 1996 Exponential stability of stochastic differential equations. Zbl 0806.60044Mao, Xuerong 135 1994 A stochastic model for internal HIV dynamics. Zbl 1132.92015Dalal, Nirav; Greenhalgh, David; Mao, Xuerong 131 2008 Stochastic delay Lotka–Volterra model. Zbl 1043.92034Bahar, Arifah; Mao, Xuerong 127 2004 Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching. Zbl 1205.92058Li, Xiaoyue; Gray, Alison; Jiang, Daqing; Mao, Xuerong 127 2011 Asymptotic behaviour of the stochastic Lotka-Volterra model. Zbl 1048.92027Mao, Xuerong; Sabanis, Sotirios; Renshaw, Eric 117 2003 A note on the LaSalle-type theorems for stochastic differential delay equations. Zbl 0996.60064Mao, Xuerong 113 2002 Robust stability and controllability of stochastic differential delay equations with Markovian switching. Zbl 1040.93069Yuan, Chenggui; Mao, Xuerong 113 2004 Stability of stochastic delay neural networks. Zbl 0991.93120Blythe, Steve; Mao, Xuerong; Liao, Xiaoxin 111 2001 A stochastic model of AIDS and condom use. Zbl 1101.92037Dalal, Nirav; Greenhalgh, David; Mao, Xuerong 111 2007 Adapted solutions of backward stochastic differential equations with non- Lipschitz coefficients. Zbl 0835.60049Mao, Xuerong 105 1995 Population dynamical behavior of Lotka-Volterra system under regime switching. Zbl 1173.60020Li, Xiaoyue; Jiang, Daqing; Mao, Xuerong 104 2009 Razumikhin-type theorems on exponential stability of stochastic functional differential equations. Zbl 0889.60062Mao, X. 97 1996 Numerical solutions of stochastic differential delay equations under local Lipschitz condition. Zbl 1015.65002Mao, Xuerong; Sabanis, Sotirios 92 2003 Stabilization and destabilization of hybrid systems of stochastic differential equations. Zbl 1111.93082Mao, Xuerong; Yin, G. George; Yuan, Chenggui 91 2007 Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations. Zbl 1144.65005Higham, Desmond J.; Mao, Xuerong; Yuan, Chenggui 91 2007 Stability of stochastic differential equations with respect to semimartingales. Zbl 0724.60059Mao, Xuerong 90 1991 Stochastic differential delay equations with Markovian switching. Zbl 0956.60060Mao, Xuerong; Matasov, Alexander; Piunovskiy, Aleksey B. 89 2000 Stationary distribution of stochastic population systems. Zbl 1387.60107Mao, Xuerong 87 2011 The truncated Euler-Maruyama method for stochastic differential equations. Zbl 1330.65016Mao, Xuerong 85 2015 Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations. Zbl 0876.60047Mao, Xuerong 84 1997 Almost sure exponential stability of numerical solutions for stochastic delay differential equations. Zbl 1193.65009Wu, Fuke; Mao, Xuerong; Szpruch, Lukas 82 2010 Stochastic differential delay equations of population dynamics. Zbl 1062.92055Mao, Xuerong; Yuan, Chenggui; Zou, Jiezhong 81 2005 Stochastic versions of the LaSalle theorem. Zbl 0921.34057Mao, Xuerong 81 1999 Stochastic population dynamics under regime switching. II. Zbl 1162.92032Luo, Qi; Mao, Xuerong 78 2009 Exponential mean-square stability of numerical solutions to stochastic differential equations. Zbl 1055.65009Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M. 77 2003 The SIS epidemic model with Markovian switching. Zbl 1271.92030Gray, Alison; Greenhalgh, David; Mao, Xuerong; Pan, Jiafeng 77 2012 Asymptotic stability in distribution of stochastic differential equations with Markovian switching. Zbl 1075.60541Yuan, Chenggui; Mao, Xuerong 76 2003 Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients. Zbl 1262.65012Mao, Xuerong; Szpruch, Lukasz 74 2013 Robust stability of uncertain stochastic differential delay equations. Zbl 0909.93054Mao, Xuerong; Koroleva, Natalia; Rodkina, Alexandra 73 1998 Stochastic delay population dynamics. Zbl 1043.92028Bahar, Arifah; Mao, Xuerong 71 2004 Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching. Zbl 1143.60041Mao, Xuerong; Shen, Yi; Yuan, Chenggui 71 2008 Neutral stochastic differential delay equations with Markovian switching. Zbl 1025.60028Kolmanovskii, V.; Koroleva, N.; Maizenberg, T.; Mao, X.; Matasov, A. 67 2003 Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control. Zbl 1315.93083Mao, Xuerong 67 2013 Exponential stability and instability of stochastic neural networks. Zbl 0848.60058Liao, X. X.; Mao, X. 67 1996 Stochastic stabilization and destabilization. Zbl 0820.93071Mao, Xuerong 66 1994 Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1378.65036Mao, Xuerong 60 2016 Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations. Zbl 1263.92042Yang, Qingshan; Mao, Xuerong 60 2013 Khasminskii-type theorems for stochastic differential delay equations. Zbl 1082.60055Mao, Xuerong; Rassias, Matina John 59 2005 Stabilisation of hybrid stochastic differential equations by delay feedback control. Zbl 1149.93027Mao, Xuerong; Lam, James; Huang, Lirong 59 2008 New criteria on exponential stability of neutral stochastic differential delay equations. Zbl 1100.93048Luo, Qi; Mao, Xuerong; Shen, Yi 56 2006 Stabilization and destabilization of nonlinear differential equations by noise. Zbl 1367.93692Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra 56 2008 Exponential stability in mean square of neutral stochastic differential functional equations. Zbl 0877.93133Mao, Xuerong 55 1995 Exponential stability of equidistant Euler-Maruyama approximations of stochastic differential delay equations. Zbl 1114.65005Mao, Xuerong 55 2007 Strong convergence rates for backward Euler-Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients. Zbl 1304.65009Mao, Xuerong; Szpruch, Lukasz 54 2013 Stabilization of hybrid systems by feedback control based on discrete-time state observations. Zbl 1337.60133You, Surong; Liu, Wei; Lu, Jianqiu; Mao, Xuerong; Qiu, Qinwei 53 2015 Numerical solutions of neutral stochastic functional differential equations. Zbl 1173.65004Wu, Fuke; Mao, Xuerong 49 2008 Stochastic stabilisation of functional differential equations. Zbl 1129.34330Appleby, John A. D.; Mao, Xuerong 48 2005 Exponential stability of stochastic delay interval systems. Zbl 0949.60068Liao, X. X.; Mao, X. 48 2000 Numerical solutions of stochastic functional differential equations. Zbl 1055.65011Mao, Xuerong 47 2003 Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model. Zbl 1230.65011Szpruch, Lukasz; Mao, Xuerong; Higham, Desmond J.; Pan, Jiazhu 47 2011 Stochastic stabilization of hybrid differential equations. Zbl 1257.93103Deng, Feiqi; Luo, Qi; Mao, Xuerong 46 2012 The improved LaSalle-type theorems for stochastic functional differential equations. Zbl 1090.60059Shen, Yi; Luo, Qi; Mao, Xuerong 46 2006 Numerical solutions of stochastic differential delay equations under the generalized Khasminskii-type conditions. Zbl 1215.65015Mao, Xuerong 44 2011 Stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1259.93127Hu, Liangjian; Mao, Xuerong; Shen, Yi 43 2013 Robust stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1369.93693Hu, Liangjian; Mao, Xuerong; Zhang, Liguo 43 2013 Delay-dependent exponential stability of neutral stochastic delay systems. Zbl 1367.93511Huang, Lirong; Mao, Xuerong 43 2009 On input-to-state stability of stochastic retarded systems with Markovian switching. Zbl 1367.93597Huang, Lirong; Mao, Xuerong 43 2009 Convergence of the Euler–Maruyama method for stochastic differential equations with Markovian switching. Zbl 1044.65007Yuan, Chenggui; Mao, Xuerong 42 2004 Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations. Zbl 1297.93176Mao, Xuerong; Liu, Wei; Hu, Liangjian; Luo, Qi; Lu, Jianqiu 42 2014 LaSalle-type theorems for stochastic differential delay equations. Zbl 0958.60057Mao, Xuerong 39 1999 Delay population dynamics and environmental noise. Zbl 1093.60033Mao, Xuerong 38 2005 Asymptotic properties of stochastic population dynamics. Zbl 1171.34038Pang, Sulin; Deng, Feiqi; Mao, Xuerong 38 2008 Asymptotic properties of neutral stochastic differential delay equations. Zbl 0964.60066Mao, Xuerong 37 2000 Stochastic functional differential equations with Markovian switching. Zbl 1034.60063Mao, X. 36 1999 Razumikhin method and exponential stability of hybrid stochastic delay interval systems. Zbl 1127.60072Mao, Xuerong; Lam, James; Xu, Shengyuan; Gao, Huijun 36 2006 Almost sure exponential stabilization by discrete-time stochastic feedback control. Zbl 1359.93517Mao, Xuerong 36 2016 Almost sure and moment exponential stability of Euler-Maruyama discretizations for hybrid stochastic differential equations. Zbl 1141.65006Pang, Sulin; Deng, Feiqi; Mao, Xuerong 35 2008 Stability of singular stochastic systems with Markovian switching. Zbl 1368.93767Huang, Lirong; Mao, Xuerong 35 2011 Almost sure exponential stabilisation of stochastic systems by state-feedback control. Zbl 1283.93303Hu, Liangjian; Mao, Xuerong 34 2008 Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz 34 2013 Stability analysis for continuous-time switched systems with stochastic switching signals. Zbl 1423.93407Wu, Xiaotai; Tang, Yang; Cao, Jinde; Mao, Xuerong 33 2018 Noise suppresses or expresses exponential growth. Zbl 1157.93515Deng, Feiqi; Luo, Qi; Mao, Xuerong; Pang, Sulin 33 2008 Exponential stability of non-linear stochastic evolution equations. Zbl 0933.60072Liu, Kai; Mao, Xuerong 32 1998 A note on almost sure asymptotic stability of neutral stochastic delay differential equations with Markovian switching. Zbl 1257.93106Li, Xiaoyue; Mao, Xuerong 31 2012 Numerical method for stationary distribution of stochastic differential equations with Markovian switching. Zbl 1066.65016Mao, Xuerong; Yuan, Chenggui; Yin, G. 30 2005 Strong convergence of the stopped Euler-Maruyama method for nonlinear stochastic differential equations. Zbl 1329.65018Liu, Wei; Mao, Xuerong 30 2013 Stability in distribution of stochastic differential delay equations with Markovian switching. Zbl 1157.60330Yuan, Chenggui; Zou, Jiezhong; Mao, Xuerong 29 2003 Mean square stability of stochastic Volterra integro-differential equations. Zbl 1129.34332Mao, X.; Riedle, M. 29 2006 Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching. Zbl 1400.92484Greenhalgh, D.; Liang, Y.; Mao, X. 29 2016 Almost sure exponential stability of backward Euler-Maruyama discretizations for hybrid stochastic differential equations. Zbl 1227.65012Mao, Xuerong; Shen, Yi; Gray, Alison 29 2011 Stability of stochastic neural networks. Zbl 1060.92502Liao, X. X.; Mao, X. 28 1996 Stability analysis of continuous-time switched systems with a random switching signal. Zbl 1360.93756Xiong, Junlin; Lam, James; Shu, Zhan; Mao, Xuerong 28 2014 Stochastic dynamics of SIRS epidemic models with random perturbation. Zbl 1306.92064Yang, Qingshan; Mao, Xuerong 28 2014 Robust delayed-state-feedback stabilization of uncertain stochastic systems. Zbl 1162.93389Huang, Lirong; Mao, Xuerong 27 2009 Delay dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1376.93115Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan 27 2017 Positivity preserving truncated Euler-Maruyama method for stochastic Lotka-Volterra competition model. Zbl 1465.65008Mao, Xuerong; Wei, Fengying; Wiriyakraikul, Teerapot 3 2021 Stabilization and destabilization of hybrid systems by periodic stochastic controls. Zbl 1478.93716Li, Xiaoyue; Liu, Wei; Mao, Xuerong; Zhao, Junsheng 3 2021 Exponential stabilization by delay feedback control for highly nonlinear hybrid stochastic functional differential equations with infinite delay. Zbl 1483.93527Mei, Chunhui; Fei, Chen; Fei, Weiyin; Mao, Xuerong 3 2021 Truncated EM numerical method for generalised Ait-Sahalia-type interest rate model with delay. Zbl 1448.62146Emmanuel, Coffie; Mao, Xuerong 2 2021 Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations. Zbl 1481.65022Li, Xiaoyue; Mao, Xuerong; Yang, Hongfu 2 2021 On exponential stability of hybrid neutral stochastic differential delay equations with different structures. Zbl 1478.93563Wu, Aiqing; You, Surong; Mao, Wei; Mao, Xuerong; Hu, Liangjian 2 2021 Stabilisation of highly nonlinear hybrid stochastic differential delay equations by delay feedback control. Zbl 1430.93166Li, Xiaoyue; Mao, Xuerong 20 2020 Stabilization of highly nonlinear hybrid systems by feedback control based on discrete-time state observations. Zbl 07256402Fei, Chen; Fei, Weiyin; Mao, Xuerong; Xia, Dengfeng; Yan, Litan 14 2020 Truncated Euler-Maruyama method for classical and time-changed non-autonomous stochastic differential equations. Zbl 1456.65007Liu, Wei; Mao, Xuerong; Tang, Jingwen; Wu, Yue 9 2020 Advances in stabilization of hybrid stochastic differential equations by delay feedback control. Zbl 1456.60148Hu, Junhao; Liu, Wei; Deng, Feiqi; Mao, Xuerong 7 2020 Stabilisation by delay feedback control for highly nonlinear neutral stochastic differential equations. Zbl 1441.93221Shen, Mingxuan; Fei, Chen; Fei, Weiyin; Mao, Xuerong 6 2020 The asymptotic stability of hybrid stochastic systems with pantograph delay and non-Gaussian Lévy noise. Zbl 1429.93407Mao, Wei; Hu, Liangjian; Mao, Xuerong 4 2020 Stochastic delay foraging arena predator-prey system with Markov switching. Zbl 1437.37115Cai, Yongmei; Cai, Siyang; Mao, Xuerong 4 2020 Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay. Zbl 1443.60064Mao, Wei; Hu, Liangjian; Mao, Xuerong 4 2020 Advances in the truncated Euler-Maruyama method for stochastic differential delay equations. Zbl 1462.60073Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Xia, Dengfeng 3 2020 Delay feedback control for switching diffusion systems based on discrete-time observations. Zbl 07268419Li, Xiaoyue; Mao, Xuerong; Mukama, Denis S.; Yuan, Chenggui 3 2020 The truncated Euler-Maruyama method for stochastic differential equations with Hölder diffusion coefficients. Zbl 1490.65010Yang, Hao; Wu, Fuke; Kloeden, Peter E.; Mao, Xuerong 2 2020 Advances in the LaSalle-type theorems for stochastic functional differential equations with infinite delay. Zbl 1431.34087Wang, Ya; Wu, Fuke; Mao, Xuerong; Zhu, Enwen 2 2020 The truncated EM method for stochastic differential equations with Poisson jumps. Zbl 1426.60070Deng, Shounian; Fei, Weiyin; Liu, Wei; Mao, Xuerong 16 2019 A stochastic differential equation SIS epidemic model with two independent Brownian motions. Zbl 1415.92173Cai, Siyang; Cai, Yongmei; Mao, Xuerong 13 2019 Stability of highly nonlinear hybrid stochastic integro-differential delay equations. Zbl 1409.45007Fei, Chen; Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong; Yan, Litan 11 2019 Explicit numerical approximations for stochastic differential equations in finite and infinite horizons: truncation methods, convergence in \(p\)th moment and stability. Zbl 1461.65007Li, Xiaoyue; Mao, Xuerong; Yin, George 10 2019 Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations. Zbl 1420.60073Lu, Zhenyu; Hu, Junhao; Mao, Xuerong 9 2019 The averaging method for multivalued SDEs with jumps and non-Lipschitz coefficients. Zbl 1420.60074Mao, Wei; Hu, Liangjian; You, Surong; Mao, Xuerong 7 2019 Stability equivalence between the stochastic differential delay equations driven by \(G\)-Brownian motion and the Euler-Maruyama method. Zbl 1425.34090Deng, Shounian; Fei, Chen; Fei, Weiyin; Mao, Xuerong 7 2019 Generalized criteria on delay-dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1410.93135Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan 6 2019 Razumikhin-type theorem for stochastic functional differential systems via vector Lyapunov function. Zbl 1464.34105Liu, Lei; Mao, Xuerong; Cao, Jinde 6 2019 Robust quantised control of hybrid stochastic systems based on discrete-time state and mode observations. Zbl 1421.93045Song, Gongfei; Mao, Xuerong; Li, Tao 5 2019 Stability in distribution of stochastic functional differential equations. Zbl 1425.93299Wang, Ya; Wu, Fuke; Mao, Xuerong 5 2019 A stochastic differential equation SIS epidemic model with two correlated Brownian motions. Zbl 1430.37109Cai, Siyang; Cai, Yongmei; Mao, Xuerong 4 2019 Convergence of the split-step \(\theta\)-method for stochastic age-dependent population equations with Markovian switching and variable delay. Zbl 1415.92147Deng, Shounian; Fei, Weiyin; Liang, Yong; Mao, Xuerong 4 2019 Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching. Zbl 1438.60077Mao, Wei; Hu, Liangjian; Mao, Xuerong 3 2019 Asymptotic boundedness and stability of solutions to hybrid stochastic differential equations with jumps and the Euler-Maruyama approximation. Zbl 1404.60086Mao, Wei; Hu, Liangjian; Mao, Xuerong 2 2019 Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations. Zbl 1459.60122Fei, Chen; Fei, Weiyin; Mao, Xuerong; Shen, Mingxuan; Yan, Litan 1 2019 Stability analysis for continuous-time switched systems with stochastic switching signals. Zbl 1423.93407Wu, Xiaotai; Tang, Yang; Cao, Jinde; Mao, Xuerong 33 2018 Stability of highly nonlinear neutral stochastic differential delay equations. Zbl 1390.93843Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong; Liang, Yong 18 2018 Convergence rate and stability of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1458.65008Hu, Liangjian; Li, Xiaoyue; Mao, Xuerong 17 2018 The truncated Euler-Maruyama method for stochastic differential delay equations. Zbl 1414.60043Guo, Qian; Mao, Xuerong; Yue, Rongxian 16 2018 The truncated milstein method for stochastic differential equations with commutative noise. Zbl 06860317Guo, Qian; Liu, Wei; Mao, Xuerong; Yue, Rongxian 15 2018 Structured robust stability and boundedness of nonlinear hybrid delay systems. Zbl 1394.93343Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan 13 2018 Stochastic prey-predator system with foraging arena scheme. Zbl 1480.92166Cai, Yongmei; Mao, Xuerong 10 2018 Almost sure exponential stability of hybrid stochastic functional differential equations. Zbl 1380.34121Song, Minghui; Mao, Xuerong 6 2018 A note on the partially truncated Euler-Maruyama method. Zbl 1397.65017Guo, Qian; Liu, Wei; Mao, Xuerong 6 2018 Approximate solutions for a class of doubly perturbed stochastic differential equations. Zbl 1445.60042Mao, Wei; Hu, Liangjian; Mao, Xuerong 4 2018 Robust discrete-state-feedback stabilization of hybrid stochastic systems with time-varying delay based on Razumikhin technique. Zbl 1388.93097Li, Yuyuan; Lu, Jianqiu; Kou, Chunhai; Mao, Xuerong; Pan, Jiafeng 3 2018 Delay dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1376.93115Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan 27 2017 The partially truncated Euler-Maruyama method and its stability and boundedness. Zbl 1358.65008Guo, Qian; Liu, Wei; Mao, Xuerong; Yue, Rongxian 22 2017 On \(p\)th moment stabilization of hybrid systems by discrete-time feedback control. Zbl 1373.93362Dong, Ran; Mao, Xuerong 9 2017 Stabilization of hybrid systems by feedback control based on discrete-time state and mode observations. Zbl 1386.93238Li, Yuyuan; Lu, Jianqiu; Mao, Xuerong; Qiu, Qinwei 7 2017 Almost sure stability of the Euler-Maruyama method with random variable stepsize for stochastic differential equations. Zbl 1371.65010Liu, Wei; Mao, Xuerong 6 2017 Optimal transient growth on a vortex ring and its transition via cascade of ringlets. Zbl 1419.76268Mao, X.; Hussain, F. 4 2017 Neutral stochastic functional differential equations with Lévy jumps under the local Lipschitz condition. Zbl 1422.34238Mao, Wei; Hu, Liangjian; Mao, Xuerong 3 2017 Robust stabilization of hybrid uncertain stochastic systems by discrete-time feedback control. Zbl 1373.93366Li, Yuyuan; Lu, Jianqiu; Kou, Chunhai; Mao, Xuerong; Pan, Jiafeng 3 2017 Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1378.65036Mao, Xuerong 60 2016 Almost sure exponential stabilization by discrete-time stochastic feedback control. Zbl 1359.93517Mao, Xuerong 36 2016 Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching. Zbl 1400.92484Greenhalgh, D.; Liang, Y.; Mao, X. 29 2016 Almost sure exponential stability of stochastic differential delay equations. Zbl 1343.60072Guo, Qian; Mao, Xuerong; Yue, Rongxian 25 2016 SDE SIS epidemic model with demographic stochasticity and varying population size. Zbl 1410.92120Greenhalgh, D.; Liang, Y.; Mao, X. 14 2016 Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching. Zbl 1349.93329Feng, Lichao; Li, Shoumei; Mao, Xuerong 10 2016 On the asymptotic stability and numerical analysis of solutions to nonlinear stochastic differential equations with jumps. Zbl 1382.65021Mao, Wei; You, Surong; Mao, Xuerong 10 2016 Stabilization of stochastic differential equations with Markovian switching by feedback control based on discrete-time state observation with a time delay. Zbl 1344.60059Qiu, Qinwei; Liu, Wei; Hu, Liangjian; Mao, Xuerong; You, Surong 9 2016 A stochastic differential equation model for the spread of HIV amongst people who inject drugs. Zbl 1348.92156Liang, Yanfeng; Greenhalgh, David; Mao, Xuerong 8 2016 Stationary distribution of stochastic SIRS epidemic model with standard incidence. Zbl 1354.92100Zhao, Yanan; Lin, Yuguo; Jiang, Daqing; Mao, Xuerong; Li, Yong 5 2016 Hopf bifurcation control for a class of delay differential systems with discrete-time delayed feedback controller. Zbl 1378.34085Su, Huan; Mao, Xuerong; Li, Wenxue 4 2016 An averaging principle for neutral stochastic functional differential equations driven by Poisson random measure. Zbl 1419.60046Mao, Wei; Mao, Xuerong 3 2016 The truncated Euler-Maruyama method for stochastic differential equations. Zbl 1330.65016Mao, Xuerong 85 2015 Stabilization of hybrid systems by feedback control based on discrete-time state observations. Zbl 1337.60133You, Surong; Liu, Wei; Lu, Jianqiu; Mao, Xuerong; Qiu, Qinwei 53 2015 The threshold of a stochastic SIRS epidemic model in a population with varying size. Zbl 1333.60148Gray, Alison; Mao, Xuerong; Jiang, Daqing; Zhao, Yanan 17 2015 Almost sure exponential stability in the numerical simulation of stochastic differential equations. Zbl 1327.65016Mao, Xuerong 17 2015 Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients. Zbl 1410.34175You, Surong; Mao, Wei; Mao, Xuerong; Hu, Liangjian 17 2015 Existence, uniqueness and almost surely asymptotic estimations of the solutions to neutral stochastic functional differential equations driven by pure jumps. Zbl 1410.34245Mao, Wei; Zhu, Quanxin; Mao, Xuerong 11 2015 Numerical stationary distribution and its convergence for nonlinear stochastic differential equations. Zbl 1310.65009Liu, Wei; Mao, Xuerong 8 2015 On the averaging principle for stochastic delay differential equations with jumps. Zbl 1346.60087Mao, Wei; You, Surong; Wu, Xiaoqian; Mao, Xuerong 7 2015 Demographic stochasticity in the SDE SIS epidemic model. Zbl 1326.34081Greenhalgh, David; Liang, Yanfeng; Mao, Xuerong 5 2015 Robustly exponential stabilization of hybrid uncertain systems by feedback controls based on discrete-time observations. Zbl 1348.60088You, Surong; Hu, Liangjian; Mao, Wei; Mao, Xuerong 4 2015 The existence and asymptotic estimations of solutions to stochastic pantograph equations with diffusion and Lévy jumps. Zbl 1410.60063Mao, Wei; Hu, Liangjian; Mao, Xuerong 3 2015 Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations. Zbl 1297.93176Mao, Xuerong; Liu, Wei; Hu, Liangjian; Luo, Qi; Lu, Jianqiu 42 2014 Stability analysis of continuous-time switched systems with a random switching signal. Zbl 1360.93756Xiong, Junlin; Lam, James; Shu, Zhan; Mao, Xuerong 28 2014 Stochastic dynamics of SIRS epidemic models with random perturbation. Zbl 1306.92064Yang, Qingshan; Mao, Xuerong 28 2014 Mean square polynomial stability of numerical solutions to a class of stochastic differential equations. Zbl 1294.60094Liu, Wei; Foondun, Mohammud; Mao, Xuerong 7 2014 On the approximations of solutions to neutral SDEs with Markovian switching and jumps under non-Lipschitz conditions. Zbl 1410.34244Mao, Wei; Mao, Xuerong 6 2014 Parameter estimation for the stochastic SIS epidemic model. Zbl 1333.62282Pan, Jiafeng; Gray, Alison; Greenhalgh, David; Mao, Xuerong 5 2014 A note on exponential almost sure stability of stochastic differential equation. Zbl 1286.60054Mao, Xuerong; Song, Qingshuo; Yang, Dichuan 1 2014 Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients. Zbl 1262.65012Mao, Xuerong; Szpruch, Lukasz 74 2013 Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control. Zbl 1315.93083Mao, Xuerong 67 2013 Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations. Zbl 1263.92042Yang, Qingshan; Mao, Xuerong 60 2013 Strong convergence rates for backward Euler-Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients. Zbl 1304.65009Mao, Xuerong; Szpruch, Lukasz 54 2013 Stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1259.93127Hu, Liangjian; Mao, Xuerong; Shen, Yi 43 2013 Robust stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1369.93693Hu, Liangjian; Mao, Xuerong; Zhang, Liguo 43 2013 Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz 34 2013 Strong convergence of the stopped Euler-Maruyama method for nonlinear stochastic differential equations. Zbl 1329.65018Liu, Wei; Mao, Xuerong 30 2013 Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations. Zbl 1270.65005Wu, Fuke; Mao, Xuerong; Kloeden, Peter E. 17 2013 Khasminskii-type theorems for stochastic functional differential equations. Zbl 1281.34128Song, Minghui; Hu, Liangjian; Mao, Xuerong; Zhang, Liguo 14 2013 Mean exit times and the multilevel Monte Carlo method. Zbl 1282.65020Higham, Desmond J.; Mao, Xuerong; Roj, Mikolaj; Song, Qingshuo; Yin, George 12 2013 Delay geometric Brownian motion in financial option valuation. Zbl 1291.60122Mao, Xuerong; Sabanis, Sotirios 9 2013 Asymptotic moment boundedness of the numerical solutions of stochastic differential equations. Zbl 1288.65009Liu, Wei; Mao, Xuerong 4 2013 Razumikhin-type theorems on exponential stability of SDDEs containing singularly perturbed random processes. Zbl 1279.60069Hu, Junhao; Mao, Xuerong; Yuan, Chenggui 2 2013 A systematic derivation of stochastic Taylor methods for stochastic delay differential equations. Zbl 1281.65015Rosli, Norhayati; Bahar, Arifah; Yeak, S. H.; Mao, X. 1 2013 The SIS epidemic model with Markovian switching. Zbl 1271.92030Gray, Alison; Greenhalgh, David; Mao, Xuerong; Pan, Jiafeng 77 2012 Stochastic stabilization of hybrid differential equations. Zbl 1257.93103Deng, Feiqi; Luo, Qi; Mao, Xuerong 46 2012 ...and 184 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,552 Authors 202 Jiang, Daqing 202 Mao, Xuerong 81 Liu, Qun 80 Hayat, Tasawar 74 Wang, Ke 72 Liu, Meng 68 Yuan, Chenggui 68 Zhu, Quanxin 67 Wu, Fuke 62 Al-saedi, Ahmed Eid Salem 55 Deng, Feiqi 52 Yin, George Gang 49 Cao, Jinde 46 Zhang, Qimin 39 Li, Wenxue 39 Yuan, Sanling 38 Park, Juhyun (Jessie) 38 Zhang, Weihai 35 Shi, Peng 34 Caraballo Garrido, Tomás 33 Zhang, Qingling 32 Xu, Shengyuan 31 Balasubramaniam, Pagavathigounder 31 Meng, Xinzhu 30 Lam, James 30 Rodkina, Alexandra 29 Li, Xiaoyue 28 Ding, Xiaohua 28 Hu, Liangjian 28 Huang, Chengming 28 Liu, Fei 28 Ren, Yong 28 Yin, Gang George 27 Zhou, Wuneng 26 Hu, Shigeng 26 Liu, Wei 25 Bao, Jianhai 25 El Fatini, Mohamed 25 Su, Huan 25 Wang, Guoliang 25 Wang, Zidong 25 Xi, Fubao 25 Zhang, Tonghua 23 Appleby, John A. D. 23 Fan, Shengjun 23 Gan, Siqing 23 Ji, Chunyan 23 Teng, Zhi-dong 23 Xia, Jianwei 23 Zhong, Shou-Ming 23 Zou, Xiaoling 22 Kao, Yonggui 22 Liu, Xinzhi 22 Shi, Ningzhong 22 Zhang, Xinhong 21 Hu, Junhao 21 Nguyen, Dang Hai 21 Zhu, Chao 20 Fang, Jian’an 20 Song, Minghui 20 Wang, Weiming 19 Lahrouz, Aadil 19 Lv, Jingliang 19 Nguyen Huu Du 19 O’Regan, Donal 18 Chen, Huabin 18 Fei, Weiyin 18 He, Shuping 18 Liu, Zhijun 18 Shao, Jinghai 18 Shen, Yi 17 Karimi, Hamid Reza 17 Kloeden, Peter Eris 17 Liu, Lei 17 Liu, Mingzhu 17 Settati, Adel 17 Sun, Ji Tao 17 Zhou, Shaobo 17 Zhuang, Guangming 16 Jiang, Long 16 Lu, Chun 16 Mao, Wei 16 Wan, Li 16 Wang, Zhen 15 Feng, Tao 15 Guo, Qian 15 Hu, Guixin 15 Jiang, Feng 15 Mu, Xiaowu 15 Wang, Linshan 15 Zhang, Yan 15 Zhao, Dianli 15 Zhao, Yanan 14 Deng, Meiling 14 Jentzen, Arnulf 14 Liu, Kai 14 Luo, Qi 14 Tong, Jinying 14 Wang, Xiaojie 14 Wei, Fengying ...and 4,452 more Authors all top 5 Cited in 368 Serials 301 Applied Mathematics and Computation 231 Journal of the Franklin Institute 202 Advances in Difference Equations 176 Physica A 142 Journal of Computational and Applied Mathematics 131 Stochastic Analysis and Applications 130 Automatica 119 Journal of Mathematical Analysis and Applications 109 Abstract and Applied Analysis 104 Mathematical Problems in Engineering 101 Nonlinear Analysis. 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(English Edition) 8 Communications on Pure and Applied Analysis ...and 268 more Serials all top 5 Cited in 41 Fields 2,796 Probability theory and stochastic processes (60-XX) 1,794 Systems theory; control (93-XX) 1,510 Ordinary differential equations (34-XX) 1,347 Biology and other natural sciences (92-XX) 673 Numerical analysis (65-XX) 297 Dynamical systems and ergodic theory (37-XX) 180 Partial differential equations (35-XX) 173 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 163 Statistical mechanics, structure of matter (82-XX) 75 Operations research, mathematical programming (90-XX) 72 Statistics (62-XX) 69 Calculus of variations and optimal control; optimization (49-XX) 59 Integral equations (45-XX) 59 Operator theory (47-XX) 56 Computer science (68-XX) 53 Difference and functional equations (39-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 26 Real functions (26-XX) 26 Information and communication theory, circuits (94-XX) 25 Combinatorics (05-XX) 14 Approximations and expansions (41-XX) 14 Mechanics of particles and systems (70-XX) 9 Fluid mechanics (76-XX) 9 Geophysics (86-XX) 7 Functional analysis (46-XX) 7 Quantum theory (81-XX) 6 Mechanics of deformable solids (74-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Measure and integration (28-XX) 3 Special functions (33-XX) 2 History and biography (01-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year