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Author ID: mao.xuerong Recent zbMATH articles by "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

Publications by Year

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 1126.60002
Mao, Xuerong; Yuan, Chenggui
722
2006
Stochastic differential equations and their applications. Zbl 0892.60057
Mao, Xuerong
532
1997
Environmental Brownian noise suppresses explosions in population dynamics. Zbl 1058.60046
Mao, Xuerong; Marion, Glenn; Renshaw, Eric
429
2002
Stability of large-scale neutral type stochastic differential equations. Zbl 0874.60050
Liao, X. X.; Mao, X.
370
1997
Stability of stochastic differential equations with Markovian switching. Zbl 0962.60043
Mao, Xuerong
317
1999
A stochastic differential equation SIS epidemic model. Zbl 1263.34068
Gray, A.; Greenhalgh, D.; Hu, L.; Mao, X.; Pan, J.
317
2011
Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
294
2002
Stochastic differential equations and applications. 2nd ed. Zbl 1138.60005
Mao, Xuerong
212
2007
Delay-dependent \(H_{\infty}\) control and filtering for uncertain Markovian jump systems with time-varying delays. Zbl 1374.93134
Xu, Shengyuan; Lam, James; Mao, Xuerong
205
2007
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Zbl 1161.92048
Li, Xiaoyue; Mao, Xuerong
204
2009
Exponential stability of stochastic delay interval systems with Markovian switching. Zbl 1364.93685
Mao, Xuerong
189
2002
Stochastic population dynamics under regime switching. Zbl 1113.92052
Luo, Qi; Mao, Xuerong
172
2007
Competitive Lotka-Volterra population dynamics with jumps. Zbl 1228.93112
Bao, Jianhai; Mao, Xuerong; Yin, Geroge; Yuan, Chenggui
172
2011
Almost sure exponential stability of neutral stochastic differential difference equations. Zbl 0884.60052
Liao, X. X.; Mao, X.
151
1997
Robustness of exponential stability of stochastic differential delay equations. Zbl 0851.93074
Mao, X.
138
1996
Exponential stability of stochastic differential equations. Zbl 0806.60044
Mao, Xuerong
135
1994
A stochastic model for internal HIV dynamics. Zbl 1132.92015
Dalal, Nirav; Greenhalgh, David; Mao, Xuerong
131
2008
Stochastic delay Lotka–Volterra model. Zbl 1043.92034
Bahar, Arifah; Mao, Xuerong
127
2004
Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching. Zbl 1205.92058
Li, Xiaoyue; Gray, Alison; Jiang, Daqing; Mao, Xuerong
127
2011
Asymptotic behaviour of the stochastic Lotka-Volterra model. Zbl 1048.92027
Mao, Xuerong; Sabanis, Sotirios; Renshaw, Eric
117
2003
A note on the LaSalle-type theorems for stochastic differential delay equations. Zbl 0996.60064
Mao, Xuerong
113
2002
Robust stability and controllability of stochastic differential delay equations with Markovian switching. Zbl 1040.93069
Yuan, Chenggui; Mao, Xuerong
113
2004
Stability of stochastic delay neural networks. Zbl 0991.93120
Blythe, Steve; Mao, Xuerong; Liao, Xiaoxin
111
2001
A stochastic model of AIDS and condom use. Zbl 1101.92037
Dalal, Nirav; Greenhalgh, David; Mao, Xuerong
111
2007
Adapted solutions of backward stochastic differential equations with non- Lipschitz coefficients. Zbl 0835.60049
Mao, Xuerong
105
1995
Population dynamical behavior of Lotka-Volterra system under regime switching. Zbl 1173.60020
Li, Xiaoyue; Jiang, Daqing; Mao, Xuerong
104
2009
Razumikhin-type theorems on exponential stability of stochastic functional differential equations. Zbl 0889.60062
Mao, X.
97
1996
Numerical solutions of stochastic differential delay equations under local Lipschitz condition. Zbl 1015.65002
Mao, Xuerong; Sabanis, Sotirios
92
2003
Stabilization and destabilization of hybrid systems of stochastic differential equations. Zbl 1111.93082
Mao, Xuerong; Yin, G. George; Yuan, Chenggui
91
2007
Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations. Zbl 1144.65005
Higham, Desmond J.; Mao, Xuerong; Yuan, Chenggui
91
2007
Stability of stochastic differential equations with respect to semimartingales. Zbl 0724.60059
Mao, Xuerong
90
1991
Stochastic differential delay equations with Markovian switching. Zbl 0956.60060
Mao, Xuerong; Matasov, Alexander; Piunovskiy, Aleksey B.
89
2000
Stationary distribution of stochastic population systems. Zbl 1387.60107
Mao, Xuerong
87
2011
The truncated Euler-Maruyama method for stochastic differential equations. Zbl 1330.65016
Mao, Xuerong
85
2015
Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations. Zbl 0876.60047
Mao, Xuerong
84
1997
Almost sure exponential stability of numerical solutions for stochastic delay differential equations. Zbl 1193.65009
Wu, Fuke; Mao, Xuerong; Szpruch, Lukas
82
2010
Stochastic differential delay equations of population dynamics. Zbl 1062.92055
Mao, Xuerong; Yuan, Chenggui; Zou, Jiezhong
81
2005
Stochastic versions of the LaSalle theorem. Zbl 0921.34057
Mao, Xuerong
81
1999
Stochastic population dynamics under regime switching. II. Zbl 1162.92032
Luo, Qi; Mao, Xuerong
78
2009
Exponential mean-square stability of numerical solutions to stochastic differential equations. Zbl 1055.65009
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
77
2003
The SIS epidemic model with Markovian switching. Zbl 1271.92030
Gray, Alison; Greenhalgh, David; Mao, Xuerong; Pan, Jiafeng
77
2012
Asymptotic stability in distribution of stochastic differential equations with Markovian switching. Zbl 1075.60541
Yuan, Chenggui; Mao, Xuerong
76
2003
Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients. Zbl 1262.65012
Mao, Xuerong; Szpruch, Lukasz
74
2013
Robust stability of uncertain stochastic differential delay equations. Zbl 0909.93054
Mao, Xuerong; Koroleva, Natalia; Rodkina, Alexandra
73
1998
Stochastic delay population dynamics. Zbl 1043.92028
Bahar, Arifah; Mao, Xuerong
71
2004
Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching. Zbl 1143.60041
Mao, Xuerong; Shen, Yi; Yuan, Chenggui
71
2008
Neutral stochastic differential delay equations with Markovian switching. Zbl 1025.60028
Kolmanovskii, 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 1315.93083
Mao, Xuerong
67
2013
Exponential stability and instability of stochastic neural networks. Zbl 0848.60058
Liao, X. X.; Mao, X.
67
1996
Stochastic stabilization and destabilization. Zbl 0820.93071
Mao, Xuerong
66
1994
Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1378.65036
Mao, Xuerong
60
2016
Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations. Zbl 1263.92042
Yang, Qingshan; Mao, Xuerong
60
2013
Khasminskii-type theorems for stochastic differential delay equations. Zbl 1082.60055
Mao, Xuerong; Rassias, Matina John
59
2005
Stabilisation of hybrid stochastic differential equations by delay feedback control. Zbl 1149.93027
Mao, Xuerong; Lam, James; Huang, Lirong
59
2008
New criteria on exponential stability of neutral stochastic differential delay equations. Zbl 1100.93048
Luo, Qi; Mao, Xuerong; Shen, Yi
56
2006
Stabilization and destabilization of nonlinear differential equations by noise. Zbl 1367.93692
Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra
56
2008
Exponential stability in mean square of neutral stochastic differential functional equations. Zbl 0877.93133
Mao, Xuerong
55
1995
Exponential stability of equidistant Euler-Maruyama approximations of stochastic differential delay equations. Zbl 1114.65005
Mao, 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 1304.65009
Mao, Xuerong; Szpruch, Lukasz
54
2013
Stabilization of hybrid systems by feedback control based on discrete-time state observations. Zbl 1337.60133
You, Surong; Liu, Wei; Lu, Jianqiu; Mao, Xuerong; Qiu, Qinwei
53
2015
Numerical solutions of neutral stochastic functional differential equations. Zbl 1173.65004
Wu, Fuke; Mao, Xuerong
49
2008
Stochastic stabilisation of functional differential equations. Zbl 1129.34330
Appleby, John A. D.; Mao, Xuerong
48
2005
Exponential stability of stochastic delay interval systems. Zbl 0949.60068
Liao, X. X.; Mao, X.
48
2000
Numerical solutions of stochastic functional differential equations. Zbl 1055.65011
Mao, Xuerong
47
2003
Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model. Zbl 1230.65011
Szpruch, Lukasz; Mao, Xuerong; Higham, Desmond J.; Pan, Jiazhu
47
2011
Stochastic stabilization of hybrid differential equations. Zbl 1257.93103
Deng, Feiqi; Luo, Qi; Mao, Xuerong
46
2012
The improved LaSalle-type theorems for stochastic functional differential equations. Zbl 1090.60059
Shen, Yi; Luo, Qi; Mao, Xuerong
46
2006
Numerical solutions of stochastic differential delay equations under the generalized Khasminskii-type conditions. Zbl 1215.65015
Mao, Xuerong
44
2011
Stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1259.93127
Hu, Liangjian; Mao, Xuerong; Shen, Yi
43
2013
Robust stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1369.93693
Hu, Liangjian; Mao, Xuerong; Zhang, Liguo
43
2013
Delay-dependent exponential stability of neutral stochastic delay systems. Zbl 1367.93511
Huang, Lirong; Mao, Xuerong
43
2009
On input-to-state stability of stochastic retarded systems with Markovian switching. Zbl 1367.93597
Huang, Lirong; Mao, Xuerong
43
2009
Convergence of the Euler–Maruyama method for stochastic differential equations with Markovian switching. Zbl 1044.65007
Yuan, Chenggui; Mao, Xuerong
42
2004
Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations. Zbl 1297.93176
Mao, Xuerong; Liu, Wei; Hu, Liangjian; Luo, Qi; Lu, Jianqiu
42
2014
LaSalle-type theorems for stochastic differential delay equations. Zbl 0958.60057
Mao, Xuerong
39
1999
Delay population dynamics and environmental noise. Zbl 1093.60033
Mao, Xuerong
38
2005
Asymptotic properties of stochastic population dynamics. Zbl 1171.34038
Pang, Sulin; Deng, Feiqi; Mao, Xuerong
38
2008
Asymptotic properties of neutral stochastic differential delay equations. Zbl 0964.60066
Mao, Xuerong
37
2000
Stochastic functional differential equations with Markovian switching. Zbl 1034.60063
Mao, X.
36
1999
Razumikhin method and exponential stability of hybrid stochastic delay interval systems. Zbl 1127.60072
Mao, Xuerong; Lam, James; Xu, Shengyuan; Gao, Huijun
36
2006
Almost sure exponential stabilization by discrete-time stochastic feedback control. Zbl 1359.93517
Mao, Xuerong
36
2016
Almost sure and moment exponential stability of Euler-Maruyama discretizations for hybrid stochastic differential equations. Zbl 1141.65006
Pang, Sulin; Deng, Feiqi; Mao, Xuerong
35
2008
Stability of singular stochastic systems with Markovian switching. Zbl 1368.93767
Huang, Lirong; Mao, Xuerong
35
2011
Almost sure exponential stabilisation of stochastic systems by state-feedback control. Zbl 1283.93303
Hu, Liangjian; Mao, Xuerong
34
2008
Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068
Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz
34
2013
Stability analysis for continuous-time switched systems with stochastic switching signals. Zbl 1423.93407
Wu, Xiaotai; Tang, Yang; Cao, Jinde; Mao, Xuerong
33
2018
Noise suppresses or expresses exponential growth. Zbl 1157.93515
Deng, Feiqi; Luo, Qi; Mao, Xuerong; Pang, Sulin
33
2008
Exponential stability of non-linear stochastic evolution equations. Zbl 0933.60072
Liu, Kai; Mao, Xuerong
32
1998
A note on almost sure asymptotic stability of neutral stochastic delay differential equations with Markovian switching. Zbl 1257.93106
Li, Xiaoyue; Mao, Xuerong
31
2012
Numerical method for stationary distribution of stochastic differential equations with Markovian switching. Zbl 1066.65016
Mao, Xuerong; Yuan, Chenggui; Yin, G.
30
2005
Strong convergence of the stopped Euler-Maruyama method for nonlinear stochastic differential equations. Zbl 1329.65018
Liu, Wei; Mao, Xuerong
30
2013
Stability in distribution of stochastic differential delay equations with Markovian switching. Zbl 1157.60330
Yuan, Chenggui; Zou, Jiezhong; Mao, Xuerong
29
2003
Mean square stability of stochastic Volterra integro-differential equations. Zbl 1129.34332
Mao, X.; Riedle, M.
29
2006
Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching. Zbl 1400.92484
Greenhalgh, D.; Liang, Y.; Mao, X.
29
2016
Almost sure exponential stability of backward Euler-Maruyama discretizations for hybrid stochastic differential equations. Zbl 1227.65012
Mao, Xuerong; Shen, Yi; Gray, Alison
29
2011
Stability of stochastic neural networks. Zbl 1060.92502
Liao, X. X.; Mao, X.
28
1996
Stability analysis of continuous-time switched systems with a random switching signal. Zbl 1360.93756
Xiong, Junlin; Lam, James; Shu, Zhan; Mao, Xuerong
28
2014
Stochastic dynamics of SIRS epidemic models with random perturbation. Zbl 1306.92064
Yang, Qingshan; Mao, Xuerong
28
2014
Robust delayed-state-feedback stabilization of uncertain stochastic systems. Zbl 1162.93389
Huang, Lirong; Mao, Xuerong
27
2009
Delay dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1376.93115
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan
27
2017
Positivity preserving truncated Euler-Maruyama method for stochastic Lotka-Volterra competition model. Zbl 1465.65008
Mao, Xuerong; Wei, Fengying; Wiriyakraikul, Teerapot
3
2021
Stabilization and destabilization of hybrid systems by periodic stochastic controls. Zbl 1478.93716
Li, 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 1483.93527
Mei, Chunhui; Fei, Chen; Fei, Weiyin; Mao, Xuerong
3
2021
Truncated EM numerical method for generalised Ait-Sahalia-type interest rate model with delay. Zbl 1448.62146
Emmanuel, Coffie; Mao, Xuerong
2
2021
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations. Zbl 1481.65022
Li, Xiaoyue; Mao, Xuerong; Yang, Hongfu
2
2021
On exponential stability of hybrid neutral stochastic differential delay equations with different structures. Zbl 1478.93563
Wu, 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 1430.93166
Li, Xiaoyue; Mao, Xuerong
20
2020
Stabilization of highly nonlinear hybrid systems by feedback control based on discrete-time state observations. Zbl 07256402
Fei, 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 1456.65007
Liu, Wei; Mao, Xuerong; Tang, Jingwen; Wu, Yue
9
2020
Advances in stabilization of hybrid stochastic differential equations by delay feedback control. Zbl 1456.60148
Hu, Junhao; Liu, Wei; Deng, Feiqi; Mao, Xuerong
7
2020
Stabilisation by delay feedback control for highly nonlinear neutral stochastic differential equations. Zbl 1441.93221
Shen, 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 1429.93407
Mao, Wei; Hu, Liangjian; Mao, Xuerong
4
2020
Stochastic delay foraging arena predator-prey system with Markov switching. Zbl 1437.37115
Cai, Yongmei; Cai, Siyang; Mao, Xuerong
4
2020
Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay. Zbl 1443.60064
Mao, Wei; Hu, Liangjian; Mao, Xuerong
4
2020
Advances in the truncated Euler-Maruyama method for stochastic differential delay equations. Zbl 1462.60073
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Xia, Dengfeng
3
2020
Delay feedback control for switching diffusion systems based on discrete-time observations. Zbl 07268419
Li, Xiaoyue; Mao, Xuerong; Mukama, Denis S.; Yuan, Chenggui
3
2020
The truncated Euler-Maruyama method for stochastic differential equations with Hölder diffusion coefficients. Zbl 1490.65010
Yang, 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 1431.34087
Wang, Ya; Wu, Fuke; Mao, Xuerong; Zhu, Enwen
2
2020
The truncated EM method for stochastic differential equations with Poisson jumps. Zbl 1426.60070
Deng, Shounian; Fei, Weiyin; Liu, Wei; Mao, Xuerong
16
2019
A stochastic differential equation SIS epidemic model with two independent Brownian motions. Zbl 1415.92173
Cai, Siyang; Cai, Yongmei; Mao, Xuerong
13
2019
Stability of highly nonlinear hybrid stochastic integro-differential delay equations. Zbl 1409.45007
Fei, 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 1461.65007
Li, Xiaoyue; Mao, Xuerong; Yin, George
10
2019
Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations. Zbl 1420.60073
Lu, Zhenyu; Hu, Junhao; Mao, Xuerong
9
2019
The averaging method for multivalued SDEs with jumps and non-Lipschitz coefficients. Zbl 1420.60074
Mao, 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 1425.34090
Deng, Shounian; Fei, Chen; Fei, Weiyin; Mao, Xuerong
7
2019
Generalized criteria on delay-dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1410.93135
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan
6
2019
Razumikhin-type theorem for stochastic functional differential systems via vector Lyapunov function. Zbl 1464.34105
Liu, Lei; Mao, Xuerong; Cao, Jinde
6
2019
Robust quantised control of hybrid stochastic systems based on discrete-time state and mode observations. Zbl 1421.93045
Song, Gongfei; Mao, Xuerong; Li, Tao
5
2019
Stability in distribution of stochastic functional differential equations. Zbl 1425.93299
Wang, Ya; Wu, Fuke; Mao, Xuerong
5
2019
A stochastic differential equation SIS epidemic model with two correlated Brownian motions. Zbl 1430.37109
Cai, 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 1415.92147
Deng, 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 1438.60077
Mao, 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 1404.60086
Mao, Wei; Hu, Liangjian; Mao, Xuerong
2
2019
Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations. Zbl 1459.60122
Fei, Chen; Fei, Weiyin; Mao, Xuerong; Shen, Mingxuan; Yan, Litan
1
2019
Stability analysis for continuous-time switched systems with stochastic switching signals. Zbl 1423.93407
Wu, Xiaotai; Tang, Yang; Cao, Jinde; Mao, Xuerong
33
2018
Stability of highly nonlinear neutral stochastic differential delay equations. Zbl 1390.93843
Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong; Liang, Yong
18
2018
Convergence rate and stability of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1458.65008
Hu, Liangjian; Li, Xiaoyue; Mao, Xuerong
17
2018
The truncated Euler-Maruyama method for stochastic differential delay equations. Zbl 1414.60043
Guo, Qian; Mao, Xuerong; Yue, Rongxian
16
2018
The truncated milstein method for stochastic differential equations with commutative noise. Zbl 06860317
Guo, Qian; Liu, Wei; Mao, Xuerong; Yue, Rongxian
15
2018
Structured robust stability and boundedness of nonlinear hybrid delay systems. Zbl 1394.93343
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan
13
2018
Stochastic prey-predator system with foraging arena scheme. Zbl 1480.92166
Cai, Yongmei; Mao, Xuerong
10
2018
Almost sure exponential stability of hybrid stochastic functional differential equations. Zbl 1380.34121
Song, Minghui; Mao, Xuerong
6
2018
A note on the partially truncated Euler-Maruyama method. Zbl 1397.65017
Guo, Qian; Liu, Wei; Mao, Xuerong
6
2018
Approximate solutions for a class of doubly perturbed stochastic differential equations. Zbl 1445.60042
Mao, 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 1388.93097
Li, Yuyuan; Lu, Jianqiu; Kou, Chunhai; Mao, Xuerong; Pan, Jiafeng
3
2018
Delay dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1376.93115
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan
27
2017
The partially truncated Euler-Maruyama method and its stability and boundedness. Zbl 1358.65008
Guo, Qian; Liu, Wei; Mao, Xuerong; Yue, Rongxian
22
2017
On \(p\)th moment stabilization of hybrid systems by discrete-time feedback control. Zbl 1373.93362
Dong, Ran; Mao, Xuerong
9
2017
Stabilization of hybrid systems by feedback control based on discrete-time state and mode observations. Zbl 1386.93238
Li, 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 1371.65010
Liu, Wei; Mao, Xuerong
6
2017
Optimal transient growth on a vortex ring and its transition via cascade of ringlets. Zbl 1419.76268
Mao, X.; Hussain, F.
4
2017
Neutral stochastic functional differential equations with Lévy jumps under the local Lipschitz condition. Zbl 1422.34238
Mao, Wei; Hu, Liangjian; Mao, Xuerong
3
2017
Robust stabilization of hybrid uncertain stochastic systems by discrete-time feedback control. Zbl 1373.93366
Li, Yuyuan; Lu, Jianqiu; Kou, Chunhai; Mao, Xuerong; Pan, Jiafeng
3
2017
Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1378.65036
Mao, Xuerong
60
2016
Almost sure exponential stabilization by discrete-time stochastic feedback control. Zbl 1359.93517
Mao, Xuerong
36
2016
Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching. Zbl 1400.92484
Greenhalgh, D.; Liang, Y.; Mao, X.
29
2016
Almost sure exponential stability of stochastic differential delay equations. Zbl 1343.60072
Guo, Qian; Mao, Xuerong; Yue, Rongxian
25
2016
SDE SIS epidemic model with demographic stochasticity and varying population size. Zbl 1410.92120
Greenhalgh, D.; Liang, Y.; Mao, X.
14
2016
Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching. Zbl 1349.93329
Feng, Lichao; Li, Shoumei; Mao, Xuerong
10
2016
On the asymptotic stability and numerical analysis of solutions to nonlinear stochastic differential equations with jumps. Zbl 1382.65021
Mao, 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 1344.60059
Qiu, 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 1348.92156
Liang, Yanfeng; Greenhalgh, David; Mao, Xuerong
8
2016
Stationary distribution of stochastic SIRS epidemic model with standard incidence. Zbl 1354.92100
Zhao, 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 1378.34085
Su, Huan; Mao, Xuerong; Li, Wenxue
4
2016
An averaging principle for neutral stochastic functional differential equations driven by Poisson random measure. Zbl 1419.60046
Mao, Wei; Mao, Xuerong
3
2016
The truncated Euler-Maruyama method for stochastic differential equations. Zbl 1330.65016
Mao, Xuerong
85
2015
Stabilization of hybrid systems by feedback control based on discrete-time state observations. Zbl 1337.60133
You, 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 1333.60148
Gray, Alison; Mao, Xuerong; Jiang, Daqing; Zhao, Yanan
17
2015
Almost sure exponential stability in the numerical simulation of stochastic differential equations. Zbl 1327.65016
Mao, Xuerong
17
2015
Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients. Zbl 1410.34175
You, 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 1410.34245
Mao, Wei; Zhu, Quanxin; Mao, Xuerong
11
2015
Numerical stationary distribution and its convergence for nonlinear stochastic differential equations. Zbl 1310.65009
Liu, Wei; Mao, Xuerong
8
2015
On the averaging principle for stochastic delay differential equations with jumps. Zbl 1346.60087
Mao, Wei; You, Surong; Wu, Xiaoqian; Mao, Xuerong
7
2015
Demographic stochasticity in the SDE SIS epidemic model. Zbl 1326.34081
Greenhalgh, David; Liang, Yanfeng; Mao, Xuerong
5
2015
Robustly exponential stabilization of hybrid uncertain systems by feedback controls based on discrete-time observations. Zbl 1348.60088
You, 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 1410.60063
Mao, Wei; Hu, Liangjian; Mao, Xuerong
3
2015
Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations. Zbl 1297.93176
Mao, Xuerong; Liu, Wei; Hu, Liangjian; Luo, Qi; Lu, Jianqiu
42
2014
Stability analysis of continuous-time switched systems with a random switching signal. Zbl 1360.93756
Xiong, Junlin; Lam, James; Shu, Zhan; Mao, Xuerong
28
2014
Stochastic dynamics of SIRS epidemic models with random perturbation. Zbl 1306.92064
Yang, Qingshan; Mao, Xuerong
28
2014
Mean square polynomial stability of numerical solutions to a class of stochastic differential equations. Zbl 1294.60094
Liu, 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 1410.34244
Mao, Wei; Mao, Xuerong
6
2014
Parameter estimation for the stochastic SIS epidemic model. Zbl 1333.62282
Pan, Jiafeng; Gray, Alison; Greenhalgh, David; Mao, Xuerong
5
2014
A note on exponential almost sure stability of stochastic differential equation. Zbl 1286.60054
Mao, 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 1262.65012
Mao, Xuerong; Szpruch, Lukasz
74
2013
Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control. Zbl 1315.93083
Mao, Xuerong
67
2013
Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations. Zbl 1263.92042
Yang, 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 1304.65009
Mao, Xuerong; Szpruch, Lukasz
54
2013
Stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1259.93127
Hu, Liangjian; Mao, Xuerong; Shen, Yi
43
2013
Robust stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1369.93693
Hu, Liangjian; Mao, Xuerong; Zhang, Liguo
43
2013
Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068
Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz
34
2013
Strong convergence of the stopped Euler-Maruyama method for nonlinear stochastic differential equations. Zbl 1329.65018
Liu, Wei; Mao, Xuerong
30
2013
Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations. Zbl 1270.65005
Wu, Fuke; Mao, Xuerong; Kloeden, Peter E.
17
2013
Khasminskii-type theorems for stochastic functional differential equations. Zbl 1281.34128
Song, Minghui; Hu, Liangjian; Mao, Xuerong; Zhang, Liguo
14
2013
Mean exit times and the multilevel Monte Carlo method. Zbl 1282.65020
Higham, Desmond J.; Mao, Xuerong; Roj, Mikolaj; Song, Qingshuo; Yin, George
12
2013
Delay geometric Brownian motion in financial option valuation. Zbl 1291.60122
Mao, Xuerong; Sabanis, Sotirios
9
2013
Asymptotic moment boundedness of the numerical solutions of stochastic differential equations. Zbl 1288.65009
Liu, Wei; Mao, Xuerong
4
2013
Razumikhin-type theorems on exponential stability of SDDEs containing singularly perturbed random processes. Zbl 1279.60069
Hu, Junhao; Mao, Xuerong; Yuan, Chenggui
2
2013
A systematic derivation of stochastic Taylor methods for stochastic delay differential equations. Zbl 1281.65015
Rosli, Norhayati; Bahar, Arifah; Yeak, S. H.; Mao, X.
1
2013
The SIS epidemic model with Markovian switching. Zbl 1271.92030
Gray, Alison; Greenhalgh, David; Mao, Xuerong; Pan, Jiafeng
77
2012
Stochastic stabilization of hybrid differential equations. Zbl 1257.93103
Deng, Feiqi; Luo, Qi; Mao, Xuerong
46
2012
...and 184 more Documents
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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
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301 Applied Mathematics and Computation
231 Journal of the Franklin Institute
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74 Discrete Dynamics in Nature and Society
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46 Stochastics and Dynamics
42 Circuits, Systems, and Signal Processing
42 Stochastic Processes and their Applications
42 Journal of Applied Mathematics and Computing
34 Applied Numerical Mathematics
34 Applied Mathematical Modelling
34 International Journal of Computer Mathematics
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33 Mathematics and Computers in Simulation
33 Asian Journal of Control
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28 SIAM Journal on Control and Optimization
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9 Bulletin of Mathematical Biology
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9 Random Operators and Stochastic Equations
9 Qualitative Theory of Dynamical Systems
9 Discrete and Continuous Dynamical Systems. Series S
9 Mathematical Control and Related Fields
9 AIMS Mathematics
8 Advances in Applied Probability
8 Acta Mathematicae Applicatae Sinica. English Series
8 SIAM Journal on Applied Mathematics
8 Discrete and Continuous Dynamical Systems
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8 Acta Mathematica Scientia. Series B. (English Edition)
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