Edit Profile Mao, Xuerong Compute Distance To: Compute Author ID: mao.xuerong Published as: Mao, X.; Mao, Xuerong Homepage: http://personal.strath.ac.uk/x.mao/ External Links: MGP · ORCID · ResearchGate · dblp · GND Documents Indexed: 315 Publications since 1983, including 5 Books all top 5 Co-Authors 72 single-authored 30 Yuan, Chenggui 23 Hu, Liangjian 17 Mao, Wei 14 Li, Xiaoyue 14 Liao, Xiao Xin 14 Liu, Wei 13 Fei, Weiyin 13 Wu, Fuke 12 Rodkina, Alexandra 11 Higham, Desmond J. 10 Greenhalgh, David 10 Luo, Qi 9 Appleby, John A. D. 9 Huang, Lirong 8 You, Surong 7 Deng, Feiqi 7 Shen, Mingxuan 6 Fei, Chen 6 Gray, Alison J. 6 Lam, James 6 Matasov, Alexander I. 6 Szpruch, Lukasz 6 Yin, Gang George 5 Guo, Qian 5 Kolmanovskii, Vladimir Borisovich 5 Lu, Jianqiu 4 Bahar, Arifah 4 Cai, Yongmei 4 Deng, Shounian 4 Jiang, Daqing 4 Liang, Yanfeng 4 Pan, Jiafeng 4 Shen, Yi 4 Song, Minghui 4 Yue, Rongxian 3 Bao, Jianhai 3 Cai, Siyang 3 Cao, Jinde 3 Chen, Kan 3 Dalal, Nirav 3 Hu, Junhao 3 Hu, Shigeng 3 Kloeden, Peter Eris 3 Koroleva, N. I. 3 Li, Yuyuan 3 Liu, Kai 3 Pang, Sulin 3 Piunovskiĭ, Alekseĭ Borisovich 3 Qiu, Qinwei 3 Renshaw, Eric 3 Sabanis, Sotirios 3 Shen, Yi 3 Yan, Litan 2 Bashkov, A. B. 2 Blythe, Steve P. 2 Dong, Ran 2 Gao, Huijun 2 Hu, Guangda 2 Intep, Somkid 2 Kelly, Cónall 2 Kou, Chunhai 2 Liang, Yong 2 Liu, Mingzhu 2 Lygeros, John 2 Marion, Glenn 2 Markus, Lawrence 2 Pan, Jiazhu 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 Emmanuel, Coffie 1 Feng, Lichao 1 Feng, Ling 1 Filimonov, A. Y. 1 Foondun, Mohammud 1 Giles, Michael B. 1 Huang, Zhigang 1 Jarzebowska, Elzbieta 1 Li, Chanying 1 Li, Shoumei 1 Li, Tao ...and 38 more Co-Authors all top 5 Serials 25 Stochastic Analysis and Applications 24 Systems & Control Letters 22 Journal of Mathematical Analysis and Applications 21 Journal of Computational and Applied Mathematics 16 IEEE Transactions on Automatic Control 11 Automatica 11 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 Journal of Nanjing University of Information Science and Technology. Natural Science Edition 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 Stochastics 3 Journal of the Franklin Institute 3 BIT 3 Journal of Theoretical Probability 3 SIAM Journal on Mathematical Analysis 3 Discrete and Continuous Dynamical Systems 3 Abstract and Applied Analysis 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 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 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 International Journal of Control 1 Moscow University Mechanics Bulletin 1 Physica A 1 Stochastics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 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 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 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 Nonlinear Analysis. Hybrid Systems 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 1 IEEE Transactions on Circuits and Systems I: Regular Papers all top 5 Fields 246 Probability theory and stochastic processes (60-XX) 134 Systems theory; control (93-XX) 113 Ordinary differential equations (34-XX) 64 Numerical analysis (65-XX) 40 Biology and other natural sciences (92-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Dynamical systems and ergodic theory (37-XX) 6 Difference and functional equations (39-XX) 6 Statistics (62-XX) 4 Real functions (26-XX) 4 Partial differential equations (35-XX) 4 Computer science (68-XX) 3 Integral equations (45-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 271 Publications have been cited 9,743 times in 3,850 Documents Cited by ▼ Year ▼ Stochastic differential equations and their applications. Zbl 0892.60057Mao, Xuerong 809 1997 Stochastic differential equations with Markovian switching. Zbl 1126.60002Mao, Xuerong; Yuan, Chenggui 605 2006 Environmental Brownian noise suppresses explosions in population dynamics. Zbl 1058.60046Mao, Xuerong; Marion, Glenn; Renshaw, Eric 309 2002 Stability of large-scale neutral type stochastic differential equations. Zbl 0874.60050Liao, X. X.; Mao, X. 283 1997 Stability of stochastic differential equations with Markovian switching. Zbl 0962.60043Mao, Xuerong 281 1999 Stochastic differential equations and applications. 2nd ed. Zbl 1138.60005Mao, Xuerong 273 2007 Exponential stability of stochastic differential equations. Zbl 0806.60044Mao, Xuerong 250 1994 Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M. 247 2002 A stochastic differential equation SIS epidemic model. Zbl 1263.34068Gray, A.; Greenhalgh, D.; Hu, L.; Mao, X.; Pan, J. 192 2011 Delay-dependent \(H_{\infty}\) control and filtering for uncertain Markovian jump systems with time-varying delays. Zbl 1374.93134Xu, Shengyuan; Lam, James; Mao, Xuerong 190 2007 Exponential stability of stochastic delay interval systems with Markovian switching. Zbl 1364.93685Mao, Xuerong 175 2002 Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Zbl 1161.92048Li, Xiaoyue; Mao, Xuerong 164 2009 Robustness of exponential stability of stochastic differential delay equations. Zbl 0851.93074Mao, X. 137 1996 Stochastic population dynamics under regime switching. Zbl 1113.92052Luo, Qi; Mao, Xuerong 128 2007 Almost sure exponential stability of neutral stochastic differential difference equations. Zbl 0884.60052Liao, X. X.; Mao, X. 120 1997 Competitive Lotka-Volterra population dynamics with jumps. Zbl 1228.93112Bao, Jianhai; Mao, Xuerong; Yin, Geroge; Yuan, Chenggui 112 2011 Asymptotic behaviour of the stochastic Lotka-Volterra model. Zbl 1048.92027Mao, Xuerong; Sabanis, Sotirios; Renshaw, Eric 111 2003 Stochastic delay Lotka–Volterra model. Zbl 1043.92034Bahar, Arifah; Mao, Xuerong 109 2004 Robust stability and controllability of stochastic differential delay equations with Markovian switching. Zbl 1040.93069Yuan, Chenggui; Mao, Xuerong 102 2004 A note on the LaSalle-type theorems for stochastic differential delay equations. Zbl 0996.60064Mao, Xuerong 102 2002 Stability of stochastic delay neural networks. Zbl 0991.93120Blythe, Steve; Mao, Xuerong; Liao, Xiaoxin 101 2001 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 92 2011 Adapted solutions of backward stochastic differential equations with non- Lipschitz coefficients. Zbl 0835.60049Mao, Xuerong 91 1995 Stability of stochastic differential equations with respect to semimartingales. Zbl 0724.60059Mao, Xuerong 91 1991 A stochastic model of AIDS and condom use. Zbl 1101.92037Dalal, Nirav; Greenhalgh, David; Mao, Xuerong 89 2007 Population dynamical behavior of Lotka-Volterra system under regime switching. Zbl 1173.60020Li, Xiaoyue; Jiang, Daqing; Mao, Xuerong 83 2009 Numerical solutions of stochastic differential delay equations under local Lipschitz condition. Zbl 1015.65002Mao, Xuerong; Sabanis, Sotirios 83 2003 Razumikhin-type theorems on exponential stability of stochastic functional differential equations. Zbl 0889.60062Mao, X. 82 1996 A stochastic model for internal HIV dynamics. Zbl 1132.92015Dalal, Nirav; Greenhalgh, David; Mao, Xuerong 80 2008 Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations. Zbl 1144.65005Higham, Desmond J.; Mao, Xuerong; Yuan, Chenggui 80 2007 Stochastic differential delay equations with Markovian switching. Zbl 0956.60060Mao, Xuerong; Matasov, Alexander; Piunovskiy, Aleksey B. 79 2000 Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations. Zbl 0876.60047Mao, Xuerong 76 1997 Almost sure exponential stability of numerical solutions for stochastic delay differential equations. Zbl 1193.65009Wu, Fuke; Mao, Xuerong; Szpruch, Lukas 75 2010 Stochastic differential delay equations of population dynamics. Zbl 1062.92055Mao, Xuerong; Yuan, Chenggui; Zou, Jiezhong 71 2005 Robust stability of uncertain stochastic differential delay equations. Zbl 0909.93054Mao, Xuerong; Koroleva, Natalia; Rodkina, Alexandra 71 1998 Asymptotic stability in distribution of stochastic differential equations with Markovian switching. Zbl 1075.60541Yuan, Chenggui; Mao, Xuerong 70 2003 Stabilization and destabilization of hybrid systems of stochastic differential equations. Zbl 1111.93082Mao, Xuerong; Yin, G. George; Yuan, Chenggui 68 2007 Stochastic versions of the LaSalle theorem. Zbl 0921.34057Mao, Xuerong 68 1999 Exponential mean-square stability of numerical solutions to stochastic differential equations. Zbl 1055.65009Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M. 65 2003 Stochastic stabilization and destabilization. Zbl 0820.93071Mao, Xuerong 65 1994 Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching. Zbl 1143.60041Mao, Xuerong; Shen, Yi; Yuan, Chenggui 63 2008 Neutral stochastic differential delay equations with Markovian switching. Zbl 1025.60028Kolmanovskii, V.; Koroleva, N.; Maizenberg, T.; Mao, X.; Matasov, A. 62 2003 Exponential stability and instability of stochastic neural networks. Zbl 0848.60058Liao, X. X.; Mao, X. 62 1996 Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients. Zbl 1262.65012Mao, Xuerong; Szpruch, Lukasz 58 2013 Stochastic delay population dynamics. Zbl 1043.92028Bahar, Arifah; Mao, Xuerong 58 2004 The truncated Euler-Maruyama method for stochastic differential equations. Zbl 1330.65016Mao, Xuerong 57 2015 Stationary distribution of stochastic population systems. Zbl 1387.60107Mao, Xuerong 57 2011 Stochastic population dynamics under regime switching. II. Zbl 1162.92032Luo, Qi; Mao, Xuerong 57 2009 Khasminskii-type theorems for stochastic differential delay equations. Zbl 1082.60055Mao, Xuerong; Rassias, Matina John 55 2005 Exponential stability in mean square of neutral stochastic differential functional equations. Zbl 0877.93133Mao, Xuerong 50 1995 The SIS epidemic model with Markovian switching. Zbl 1271.92030Gray, Alison; Greenhalgh, David; Mao, Xuerong; Pan, Jiafeng 48 2012 New criteria on exponential stability of neutral stochastic differential delay equations. Zbl 1100.93048Luo, Qi; Mao, Xuerong; Shen, Yi 48 2006 Exponential stability of equidistant Euler-Maruyama approximations of stochastic differential delay equations. Zbl 1114.65005Mao, Xuerong 47 2007 Exponential stability of stochastic delay interval systems. Zbl 0949.60068Liao, X. X.; Mao, X. 47 2000 Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations. Zbl 1263.92042Yang, Qingshan; Mao, Xuerong 46 2013 Stabilization and destabilization of nonlinear differential equations by noise. Zbl 1367.93692Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra 46 2008 The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications. Zbl 1157.60061Yin, Juliang; Mao, Xuerong 45 2008 Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control. Zbl 1315.93083Mao, Xuerong 43 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 43 2013 The improved LaSalle-type theorems for stochastic functional differential equations. Zbl 1090.60059Shen, Yi; Luo, Qi; Mao, Xuerong 43 2006 Numerical solutions of stochastic functional differential equations. Zbl 1055.65011Mao, Xuerong 43 2003 Stabilisation of hybrid stochastic differential equations by delay feedback control. Zbl 1149.93027Mao, Xuerong; Lam, James; Huang, Lirong 42 2008 Stochastic stabilisation of functional differential equations. Zbl 1129.34330Appleby, John A. D.; Mao, Xuerong 42 2005 Numerical solutions of stochastic differential delay equations under the generalized Khasminskii-type conditions. Zbl 1215.65015Mao, Xuerong 41 2011 Delay-dependent exponential stability of neutral stochastic delay systems. Zbl 1367.93511Huang, Lirong; Mao, Xuerong 40 2009 Numerical solutions of neutral stochastic functional differential equations. Zbl 1173.65004Wu, Fuke; Mao, Xuerong 39 2008 Stochastic stabilization of hybrid differential equations. Zbl 1257.93103Deng, Feiqi; Luo, Qi; Mao, Xuerong 38 2012 Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1378.65036Mao, Xuerong 37 2016 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 37 2015 Convergence of the Euler–Maruyama method for stochastic differential equations with Markovian switching. Zbl 1044.65007Yuan, Chenggui; Mao, Xuerong 37 2004 On input-to-state stability of stochastic retarded systems with Markovian switching. Zbl 1367.93597Huang, Lirong; Mao, Xuerong 36 2009 Delay population dynamics and environmental noise. Zbl 1093.60033Mao, Xuerong 36 2005 Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model. Zbl 1230.65011Szpruch, Lukasz; Mao, Xuerong; Higham, Desmond J.; Pan, Jiazhu 34 2011 Asymptotic properties of stochastic population dynamics. Zbl 1171.34038Pang, Sulin; Deng, Feiqi; Mao, Xuerong 34 2008 Noise suppresses or expresses exponential growth. Zbl 1157.93515Deng, Feiqi; Luo, Qi; Mao, Xuerong; Pang, Sulin 34 2008 Asymptotic properties of neutral stochastic differential delay equations. Zbl 0964.60066Mao, Xuerong 34 2000 Stochastic functional differential equations with Markovian switching. Zbl 1034.60063Mao, X. 33 1999 LaSalle-type theorems for stochastic differential delay equations. Zbl 0958.60057Mao, Xuerong 33 1999 Stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1259.93127Hu, Liangjian; Mao, Xuerong; Shen, Yi 32 2013 Almost sure exponential stabilisation of stochastic systems by state-feedback control. Zbl 1283.93303Hu, Liangjian; Mao, Xuerong 32 2008 Razumikhin method and exponential stability of hybrid stochastic delay interval systems. Zbl 1127.60072Mao, Xuerong; Lam, James; Xu, Shengyuan; Gao, Huijun 32 2006 Robust stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1369.93693Hu, Liangjian; Mao, Xuerong; Zhang, Liguo 31 2013 Stability of singular stochastic systems with Markovian switching. Zbl 1368.93767Huang, Lirong; Mao, Xuerong 31 2011 Almost sure and moment exponential stability of Euler-Maruyama discretizations for hybrid stochastic differential equations. Zbl 1141.65006Pang, Sulin; Deng, Feiqi; Mao, Xuerong 31 2008 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 30 2014 Exponential stability of non-linear stochastic evolution equations. Zbl 0933.60072Liu, Kai; Mao, Xuerong 29 1998 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 27 2014 Robust delayed-state-feedback stabilization of uncertain stochastic systems. Zbl 1162.93389Huang, Lirong; Mao, Xuerong 27 2009 Almost sure exponential stability of backward Euler-Maruyama discretizations for hybrid stochastic differential equations. Zbl 1227.65012Mao, Xuerong; Shen, Yi; Gray, Alison 25 2011 Stability in distribution of stochastic differential delay equations with Markovian switching. Zbl 1157.60330Yuan, Chenggui; Zou, Jiezhong; Mao, Xuerong 25 2003 Almost sure exponential stabilization by discrete-time stochastic feedback control. Zbl 1359.93517Mao, Xuerong 24 2016 Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz 24 2013 A note on almost sure asymptotic stability of neutral stochastic delay differential equations with Markovian switching. Zbl 1257.93106Li, Xiaoyue; Mao, Xuerong 24 2012 Analyzing multi-level Monte Carlo for options with non-globally Lipschitz payoff. Zbl 1199.65008Giles, Michael B.; Higham, Desmond J.; Mao, Xuerong 24 2009 Numerical method for stationary distribution of stochastic differential equations with Markovian switching. Zbl 1066.65016Mao, Xuerong; Yuan, Chenggui; Yin, G. 24 2005 Stability analysis for continuous-time switched systems with stochastic switching signals. Zbl 1423.93407Wu, Xiaotai; Tang, Yang; Cao, Jinde; Mao, Xuerong 23 2018 On stabilization of partial differential equations by noise. Zbl 0986.60058Caraballo, Tomás; Liu, Kai; Mao, Xuerong 23 2001 Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations. Zbl 1232.60046Luo, Qi; Mao, Xuerong; Shen, Yi 22 2011 SMC design for robust \(H^{\infty}\) control of uncertain stochastic delay systems. Zbl 1205.93041Huang, Lirong; Mao, Xuerong 21 2010 Stabilisation of highly nonlinear hybrid stochastic differential delay equations by delay feedback control. Zbl 1430.93166Li, Xiaoyue; Mao, Xuerong 3 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 2 2020 Advances in the truncated Euler-Maruyama method for stochastic differential delay equations. Zbl 07195130Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Xia, Dengfeng 2 2020 Delay feedback control for switching diffusion systems based on discrete-time observations. Zbl 07268419Li, Xiaoyue; Mao, Xuerong; Mukama, Denis S.; Yuan, Chenggui 1 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 1 2020 Stochastic delay foraging arena predator-prey system with Markov switching. Zbl 1437.37115Cai, Yongmei; Cai, Siyang; Mao, Xuerong 1 2020 The truncated Euler-Maruyama method for stochastic differential equations with Hölder diffusion coefficients. Zbl 07126160Yang, Hao; Wu, Fuke; Kloeden, Peter E.; Mao, Xuerong 1 2020 Stability of highly nonlinear hybrid stochastic integro-differential delay equations. Zbl 1409.45007Fei, Chen; Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong; Yan, Litan 7 2019 Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations. Zbl 1420.60073Lu, Zhenyu; Hu, Junhao; Mao, Xuerong 4 2019 The truncated EM method for stochastic differential equations with Poisson jumps. Zbl 1426.60070Deng, Shounian; Fei, Weiyin; Liu, Wei; Mao, Xuerong 4 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 3 2019 A stochastic differential equation SIS epidemic model with two independent Brownian motions. Zbl 1415.92173Cai, Siyang; Cai, Yongmei; Mao, Xuerong 3 2019 Generalized criteria on delay-dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1410.93135Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan 3 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 2 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 Explicit numerical approximations for stochastic differential equations in finite and infinite horizons: truncation methods, convergence in \(p\)th moment and stability. Zbl 07323634Li, Xiaoyue; Mao, Xuerong; Yin, George 1 2019 Stability in distribution of stochastic functional differential equations. Zbl 1425.93299Wang, Ya; Wu, Fuke; Mao, Xuerong 1 2019 The averaging method for multivalued SDEs with jumps and non-Lipschitz coefficients. Zbl 1420.60074Mao, Wei; Hu, Liangjian; You, Surong; Mao, Xuerong 1 2019 Stability analysis for continuous-time switched systems with stochastic switching signals. Zbl 1423.93407Wu, Xiaotai; Tang, Yang; Cao, Jinde; Mao, Xuerong 23 2018 Stability of highly nonlinear neutral stochastic differential delay equations. Zbl 1390.93843Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong; Liang, Yong 11 2018 The truncated Euler-Maruyama method for stochastic differential delay equations. Zbl 1414.60043Guo, Qian; Mao, Xuerong; Yue, Rongxian 11 2018 The truncated milstein method for stochastic differential equations with commutative noise. Zbl 06860317Guo, Qian; Liu, Wei; Mao, Xuerong; Yue, Rongxian 9 2018 Convergence rate and stability of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1458.65008Hu, Liangjian; Li, Xiaoyue; Mao, Xuerong 7 2018 Structured robust stability and boundedness of nonlinear hybrid delay systems. Zbl 1394.93343Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan 6 2018 A note on the partially truncated Euler-Maruyama method. Zbl 1397.65017Guo, Qian; Liu, Wei; Mao, Xuerong 5 2018 Stochastic prey-predator system with foraging arena scheme. Zbl 07183295Cai, Yongmei; Mao, Xuerong 2 2018 Approximate solutions for a class of doubly perturbed stochastic differential equations. Zbl 1445.60042Mao, Wei; Hu, Liangjian; Mao, Xuerong 2 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 2 2018 Almost sure exponential stability of hybrid stochastic functional differential equations. Zbl 1380.34121Song, Minghui; Mao, Xuerong 2 2018 Delay dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1376.93115Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan 14 2017 The partially truncated Euler-Maruyama method and its stability and boundedness. Zbl 1358.65008Guo, Qian; Liu, Wei; Mao, Xuerong; Yue, Rongxian 14 2017 On \(p\)th moment stabilization of hybrid systems by discrete-time feedback control. Zbl 1373.93362Dong, Ran; Mao, Xuerong 5 2017 Almost sure stability of the Euler-Maruyama method with random variable stepsize for stochastic differential equations. Zbl 1371.65010Liu, Wei; Mao, Xuerong 4 2017 Optimal transient growth on a vortex ring and its transition via cascade of ringlets. Zbl 1419.76268Mao, X.; Hussain, F. 3 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 2 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 2 2017 Neutral stochastic functional differential equations with Lévy jumps under the local Lipschitz condition. Zbl 1422.34238Mao, Wei; Hu, Liangjian; Mao, Xuerong 1 2017 Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1378.65036Mao, Xuerong 37 2016 Almost sure exponential stabilization by discrete-time stochastic feedback control. Zbl 1359.93517Mao, Xuerong 24 2016 Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching. Zbl 1400.92484Greenhalgh, D.; Liang, Y.; Mao, X. 14 2016 Almost sure exponential stability of stochastic differential delay equations. Zbl 1343.60072Guo, Qian; Mao, Xuerong; Yue, Rongxian 14 2016 SDE SIS epidemic model with demographic stochasticity and varying population size. Zbl 1410.92120Greenhalgh, D.; Liang, Y.; Mao, X. 8 2016 Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching. Zbl 1349.93329Feng, Lichao; Li, Shoumei; Mao, Xuerong 7 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 6 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 6 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 A stochastic differential equation model for the spread of HIV amongst people who inject drugs. Zbl 1348.92156Liang, Yanfeng; Greenhalgh, David; Mao, Xuerong 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 57 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 37 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 13 2015 Almost sure exponential stability in the numerical simulation of stochastic differential equations. Zbl 1327.65016Mao, Xuerong 11 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 10 2015 Numerical stationary distribution and its convergence for nonlinear stochastic differential equations. Zbl 1310.65009Liu, Wei; Mao, Xuerong 7 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 5 2015 Demographic stochasticity in the SDE SIS epidemic model. Zbl 1326.34081Greenhalgh, David; Liang, Yanfeng; Mao, Xuerong 5 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 On the averaging principle for stochastic delay differential equations with jumps. Zbl 1346.60087Mao, Wei; You, Surong; Wu, Xiaoqian; Mao, Xuerong 3 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 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 30 2014 Stability analysis of continuous-time switched systems with a random switching signal. Zbl 1360.93756Xiong, Junlin; Lam, James; Shu, Zhan; Mao, Xuerong 27 2014 Stochastic dynamics of SIRS epidemic models with random perturbation. Zbl 1306.92064Yang, Qingshan; Mao, Xuerong 16 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 Mean square polynomial stability of numerical solutions to a class of stochastic differential equations. Zbl 1294.60094Liu, Wei; Foondun, Mohammud; Mao, Xuerong 4 2014 Parameter estimation for the stochastic SIS epidemic model. Zbl 1333.62282Pan, Jiafeng; Gray, Alison; Greenhalgh, David; Mao, Xuerong 2 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 58 2013 Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations. Zbl 1263.92042Yang, Qingshan; Mao, Xuerong 46 2013 Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control. Zbl 1315.93083Mao, Xuerong 43 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 43 2013 Stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1259.93127Hu, Liangjian; Mao, Xuerong; Shen, Yi 32 2013 Robust stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1369.93693Hu, Liangjian; Mao, Xuerong; Zhang, Liguo 31 2013 Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz 24 2013 Strong convergence of the stopped Euler-Maruyama method for nonlinear stochastic differential equations. Zbl 1329.65018Liu, Wei; Mao, Xuerong 16 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. 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 Khasminskii-type theorems for stochastic functional differential equations. Zbl 1281.34128Song, Minghui; Hu, Liangjian; Mao, Xuerong; Zhang, Liguo 12 2013 Delay geometric Brownian motion in financial option valuation. Zbl 1291.60122Mao, Xuerong; Sabanis, Sotirios 6 2013 Asymptotic moment boundedness of the numerical solutions of stochastic differential equations. Zbl 1288.65009Liu, Wei; Mao, Xuerong 4 2013 Neurodynamic system theory and applications. Zbl 07095299Cao, Jinde (ed.); Mao, Xuerong (ed.); Luo, Qi (ed.) 1 2013 Razumikhin-type theorems on exponential stability of SDDEs containing singularly perturbed random processes. Zbl 1279.60069Hu, Junhao; Mao, Xuerong; Yuan, Chenggui 1 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 48 2012 Stochastic stabilization of hybrid differential equations. Zbl 1257.93103Deng, Feiqi; Luo, Qi; Mao, Xuerong 38 2012 A note on almost sure asymptotic stability of neutral stochastic delay differential equations with Markovian switching. Zbl 1257.93106Li, Xiaoyue; Mao, Xuerong 24 2012 On exponential almost sure stability of random jump systems. Zbl 1369.93698Li, Chanying; Chen, Michael Z. Q.; Lam, James; Mao, Xuerong 17 2012 The improved LaSalle-type theorems for stochastic differential delay equations. Zbl 1248.60065Li, Xiaoyue; Mao, Xuerong 10 2012 Lyapunov exponents of hybrid stochastic heat equations. Zbl 1250.93122Bao, Jianhai; Mao, Xuerong; Yuan, Chenggui 7 2012 The Euler-Maruyama approximation for the asset price in the mean-reverting-theta stochastic volatility model. Zbl 1268.91128Baduraliya, Chaminda H.; Mao, Xuerong 3 2012 A stochastic differential equation SIS epidemic model. Zbl 1263.34068Gray, A.; Greenhalgh, D.; Hu, L.; Mao, X.; Pan, J. 192 2011 Competitive Lotka-Volterra population dynamics with jumps. Zbl 1228.93112Bao, Jianhai; Mao, Xuerong; Yin, Geroge; Yuan, Chenggui 112 2011 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 92 2011 Stationary distribution of stochastic population systems. Zbl 1387.60107Mao, Xuerong 57 2011 Numerical solutions of stochastic differential delay equations under the generalized Khasminskii-type conditions. Zbl 1215.65015Mao, Xuerong 41 2011 Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model. Zbl 1230.65011Szpruch, Lukasz; Mao, Xuerong; Higham, Desmond J.; Pan, Jiazhu 34 2011 Stability of singular stochastic systems with Markovian switching. Zbl 1368.93767Huang, Lirong; Mao, Xuerong 31 2011 Almost sure exponential stability of backward Euler-Maruyama discretizations for hybrid stochastic differential equations. Zbl 1227.65012Mao, Xuerong; Shen, Yi; Gray, Alison 25 2011 Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations. Zbl 1232.60046Luo, Qi; Mao, Xuerong; Shen, Yi 22 2011 Convergence rate of numerical solutions to SFDEs with jumps. Zbl 1236.65005Bao, Jianhai; Böttcher, Björn; Mao, Xuerong; Yuan, Chenggui 15 2011 ...and 171 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,120 Authors 189 Mao, Xuerong 126 Jiang, Daqing 75 Wang, Ke 66 Liu, Meng 64 Wu, Fuke 59 Yuan, Chenggui 58 Zhu, Quanxin 50 Liu, Qun 48 Deng, Feiqi 44 Cao, Jinde 43 Yin, George Gang 40 Hayat, Tasawar 37 Park, Juhyun (Jessie) 37 Zhang, Weihai 36 Balasubramaniam, Pagavathigounder 36 Xu, Shengyuan 35 Shi, Peng 34 Yuan, Sanling 33 Al-saedi, Ahmed Eid Salem 31 Li, Wenxue 31 Zhang, Qimin 31 Zhang, Qingling 29 Lam, James 29 Rodkina, Alexandra 28 Yin, Gang George 27 Huang, Chengming 27 Liu, Fei 27 Wang, Guoliang 27 Zhou, Wuneng 26 Caraballo Garrido, Tomás 26 Hu, Shigeng 26 Meng, Xinzhu 25 Li, Xiaoyue 25 Shen, Yi 25 Wang, Zidong 24 Ding, Xiaohua 24 Gan, Siqing 24 Hu, Liangjian 23 Bao, Jianhai 23 Ji, Chunyan 23 Xi, Fubao 22 Appleby, John A. D. 22 Fan, Shengjun 21 Kao, Yonggui 21 Liu, Xinzhi 21 Zhong, Shou-Ming 20 Fang, Jian’an 20 Ren, Yong 20 Shi, Ningzhong 20 Zhu, Chao 20 Zou, Xiaoling 19 Karimi, Hamid Reza 19 Xia, Jianwei 18 He, Shuping 18 Kloeden, Peter Eris 18 Nguyen Huu Du 18 Zhang, Tonghua 17 Fei, Weiyin 17 Liu, Kai 17 Liu, Wei 17 Lv, Jingliang 17 Nguyen, Dang Hai 17 Sun, Ji Tao 17 Zhou, Shaobo 16 Sakthivel, Rathinasamy 16 Shao, Jinghai 16 Su, Huan 15 Chen, Huabin 15 Jiang, Feng 15 Lahrouz, Aadil 15 Liu, Lei 15 O’Regan, Donal 15 Song, Minghui 15 Teng, Zhi-dong 15 Wan, Li 15 Zhao, Yanan 14 Higham, Desmond J. 14 Ho, Daniel W. C. 14 Jiang, Long 14 Liu, Mingzhu 14 Liu, Zhijun 14 Mao, Wei 14 Mu, Xiaowu 14 Wang, Weiming 14 Wang, Zhen 14 Wu, Zhengguang 14 Zhao, Dianli 14 Zhuang, Guangming 13 Buckwar, Evelyn 13 Guo, Qian 13 Hu, Yangzi 13 Jentzen, Arnulf 13 Li, Hongyi 13 Luo, Qi 13 Milošević, Marija 13 Settati, Adel 13 Sun, Yongzheng 13 Tong, Jinying 13 Wang, Changhong 13 Wang, Xiaojie ...and 4,020 more Authors all top 5 Cited in 330 Serials 275 Applied Mathematics and Computation 227 Journal of the Franklin Institute 141 Automatica 141 Advances in Difference Equations 138 Journal of Computational and Applied Mathematics 127 Journal of Mathematical Analysis and Applications 117 Stochastic Analysis and Applications 109 Abstract and Applied Analysis 105 Mathematical Problems in Engineering 91 Systems & Control Letters 76 Nonlinear Analysis. 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Second Series ...and 230 more Serials all top 5 Cited in 39 Fields 2,403 Probability theory and stochastic processes (60-XX) 1,606 Systems theory; control (93-XX) 1,271 Ordinary differential equations (34-XX) 1,048 Biology and other natural sciences (92-XX) 586 Numerical analysis (65-XX) 231 Dynamical systems and ergodic theory (37-XX) 148 Partial differential equations (35-XX) 147 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 74 Operations research, mathematical programming (90-XX) 59 Calculus of variations and optimal control; optimization (49-XX) 58 Statistics (62-XX) 57 Computer science (68-XX) 53 Operator theory (47-XX) 52 Integral equations (45-XX) 50 Difference and functional equations (39-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 26 Information and communication theory, circuits (94-XX) 24 Combinatorics (05-XX) 23 Statistical mechanics, structure of matter (82-XX) 21 Real functions (26-XX) 13 Approximations and expansions (41-XX) 11 Mechanics of particles and systems (70-XX) 11 Fluid mechanics (76-XX) 8 Quantum theory (81-XX) 6 Functional analysis (46-XX) 5 Mechanics of deformable solids (74-XX) 5 Geophysics (86-XX) 4 General and overarching topics; collections (00-XX) 4 Measure and integration (28-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Special functions (33-XX) 2 General topology (54-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Number theory (11-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) Citations by Year