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Mao, Xuerong

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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: 316 Publications since 1983, including 5 Books
all top 5

Co-Authors

72 single-authored
30 Yuan, Chenggui
23 Hu, Liangjian
17 Mao, Wei
15 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
9 Appleby, John A. D.
9 Huang, Lirong
9 Luo, Qi
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 Cai, Yongmei
5 Guo, Qian
5 Kolmanovskii, Vladimir Borisovich
5 Lu, Jianqiu
4 Bahar, Arifah
4 Cai, Siyang
4 Deng, Shounian
4 Jiang, Daqing
4 Pan, Jiafeng
4 Song, Minghui
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 Li, Yuyuan
3 Liu, Kai
3 Pang, Sulin
3 Piunovskiĭ, Alekseĭ Borisovich
3 Qiu, Qinwei
3 Renshaw, Eric
3 Sabanis, Sotirios
3 Yan, Litan
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 Emmanuel, Coffie
1 Feng, Lichao
1 Feng, Ling
1 Foondun, Mohammud
1 Giles, Michael B.
1 Huang, Zhigang
1 Jarzebowska, Elzbieta
1 Li, Chanying
1 Li, Shoumei
1 Li, Tao
1 Li, Wenxue
1 Li, Yong
1 Lin, Yuguo
1 Lu, Zhenyu
...and 34 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
12 Discrete and Continuous Dynamical Systems. Series B
11 Automatica
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
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 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 Physica A
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 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

Publications by Year

Citations contained in zbMATH Open

272 Publications have been cited 9,259 times in 3,815 Documents Cited by Year
Stochastic differential equations with Markovian switching. Zbl 1126.60002
Mao, Xuerong; Yuan, Chenggui
593
2006
Stochastic differential equations and their applications. Zbl 0892.60057
Mao, Xuerong
475
1997
Environmental Brownian noise suppresses explosions in population dynamics. Zbl 1058.60046
Mao, Xuerong; Marion, Glenn; Renshaw, Eric
316
2002
Stability of stochastic differential equations with Markovian switching. Zbl 0962.60043
Mao, Xuerong
282
1999
Stability of large-scale neutral type stochastic differential equations. Zbl 0874.60050
Liao, X. X.; Mao, X.
281
1997
Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
259
2002
A stochastic differential equation SIS epidemic model. Zbl 1263.34068
Gray, A.; Greenhalgh, D.; Hu, L.; Mao, X.; Pan, J.
201
2011
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
187
2007
Exponential stability of stochastic delay interval systems with Markovian switching. Zbl 1364.93685
Mao, Xuerong
176
2002
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Zbl 1161.92048
Li, Xiaoyue; Mao, Xuerong
170
2009
Stochastic differential equations and applications. 2nd ed. Zbl 1138.60005
Mao, Xuerong
170
2007
Robustness of exponential stability of stochastic differential delay equations. Zbl 0851.93074
Mao, X.
137
1996
Stochastic population dynamics under regime switching. Zbl 1113.92052
Luo, Qi; Mao, Xuerong
132
2007
Exponential stability of stochastic differential equations. Zbl 0806.60044
Mao, Xuerong
130
1994
Almost sure exponential stability of neutral stochastic differential difference equations. Zbl 0884.60052
Liao, X. X.; Mao, X.
123
1997
Competitive Lotka-Volterra population dynamics with jumps. Zbl 1228.93112
Bao, Jianhai; Mao, Xuerong; Yin, Geroge; Yuan, Chenggui
117
2011
Stochastic delay Lotka–Volterra model. Zbl 1043.92034
Bahar, Arifah; Mao, Xuerong
113
2004
Asymptotic behaviour of the stochastic Lotka-Volterra model. Zbl 1048.92027
Mao, Xuerong; Sabanis, Sotirios; Renshaw, Eric
106
2003
Stability of stochastic delay neural networks. Zbl 0991.93120
Blythe, Steve; Mao, Xuerong; Liao, Xiaoxin
103
2001
A note on the LaSalle-type theorems for stochastic differential delay equations. Zbl 0996.60064
Mao, Xuerong
102
2002
Robust stability and controllability of stochastic differential delay equations with Markovian switching. Zbl 1040.93069
Yuan, Chenggui; Mao, Xuerong
102
2004
Adapted solutions of backward stochastic differential equations with non- Lipschitz coefficients. Zbl 0835.60049
Mao, Xuerong
93
1995
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
92
2011
A stochastic model of AIDS and condom use. Zbl 1101.92037
Dalal, Nirav; Greenhalgh, David; Mao, Xuerong
87
2007
Razumikhin-type theorems on exponential stability of stochastic functional differential equations. Zbl 0889.60062
Mao, X.
85
1996
Stability of stochastic differential equations with respect to semimartingales. Zbl 0724.60059
Mao, Xuerong
85
1991
A stochastic model for internal HIV dynamics. Zbl 1132.92015
Dalal, Nirav; Greenhalgh, David; Mao, Xuerong
85
2008
Population dynamical behavior of Lotka-Volterra system under regime switching. Zbl 1173.60020
Li, Xiaoyue; Jiang, Daqing; Mao, Xuerong
84
2009
Numerical solutions of stochastic differential delay equations under local Lipschitz condition. Zbl 1015.65002
Mao, Xuerong; Sabanis, Sotirios
83
2003
Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations. Zbl 1144.65005
Higham, Desmond J.; Mao, Xuerong; Yuan, Chenggui
82
2007
Stochastic differential delay equations with Markovian switching. Zbl 0956.60060
Mao, Xuerong; Matasov, Alexander; Piunovskiy, Aleksey B.
78
2000
Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations. Zbl 0876.60047
Mao, Xuerong
75
1997
Almost sure exponential stability of numerical solutions for stochastic delay differential equations. Zbl 1193.65009
Wu, Fuke; Mao, Xuerong; Szpruch, Lukas
75
2010
Stochastic differential delay equations of population dynamics. Zbl 1062.92055
Mao, Xuerong; Yuan, Chenggui; Zou, Jiezhong
73
2005
Robust stability of uncertain stochastic differential delay equations. Zbl 0909.93054
Mao, Xuerong; Koroleva, Natalia; Rodkina, Alexandra
71
1998
Exponential mean-square stability of numerical solutions to stochastic differential equations. Zbl 1055.65009
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
68
2003
Stabilization and destabilization of hybrid systems of stochastic differential equations. Zbl 1111.93082
Mao, Xuerong; Yin, G. George; Yuan, Chenggui
68
2007
Asymptotic stability in distribution of stochastic differential equations with Markovian switching. Zbl 1075.60541
Yuan, Chenggui; Mao, Xuerong
68
2003
Stochastic versions of the LaSalle theorem. Zbl 0921.34057
Mao, Xuerong
67
1999
The truncated Euler-Maruyama method for stochastic differential equations. Zbl 1330.65016
Mao, Xuerong
64
2015
Exponential stability and instability of stochastic neural networks. Zbl 0848.60058
Liao, X. X.; Mao, X.
63
1996
Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching. Zbl 1143.60041
Mao, Xuerong; Shen, Yi; Yuan, Chenggui
63
2008
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
61
2013
Neutral stochastic differential delay equations with Markovian switching. Zbl 1025.60028
Kolmanovskii, V.; Koroleva, N.; Maizenberg, T.; Mao, X.; Matasov, A.
61
2003
Stochastic population dynamics under regime switching. II. Zbl 1162.92032
Luo, Qi; Mao, Xuerong
59
2009
Stochastic delay population dynamics. Zbl 1043.92028
Bahar, Arifah; Mao, Xuerong
59
2004
Stationary distribution of stochastic population systems. Zbl 1387.60107
Mao, Xuerong
59
2011
Stochastic stabilization and destabilization. Zbl 0820.93071
Mao, Xuerong
56
1994
Khasminskii-type theorems for stochastic differential delay equations. Zbl 1082.60055
Mao, Xuerong; Rassias, Matina John
55
2005
The SIS epidemic model with Markovian switching. Zbl 1271.92030
Gray, Alison; Greenhalgh, David; Mao, Xuerong; Pan, Jiafeng
51
2012
Exponential stability in mean square of neutral stochastic differential functional equations. Zbl 0877.93133
Mao, Xuerong
49
1995
Exponential stability of equidistant Euler-Maruyama approximations of stochastic differential delay equations. Zbl 1114.65005
Mao, Xuerong
49
2007
New criteria on exponential stability of neutral stochastic differential delay equations. Zbl 1100.93048
Luo, Qi; Mao, Xuerong; Shen, Yi
48
2006
Exponential stability of stochastic delay interval systems. Zbl 0949.60068
Liao, X. X.; Mao, X.
47
2000
Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations. Zbl 1263.92042
Yang, Qingshan; Mao, Xuerong
46
2013
Stabilization and destabilization of nonlinear differential equations by noise. Zbl 1367.93692
Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra
46
2008
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
45
2013
Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control. Zbl 1315.93083
Mao, Xuerong
43
2013
The improved LaSalle-type theorems for stochastic functional differential equations. Zbl 1090.60059
Shen, Yi; Luo, Qi; Mao, Xuerong
43
2006
Numerical solutions of neutral stochastic functional differential equations. Zbl 1173.65004
Wu, Fuke; Mao, Xuerong
42
2008
Stochastic stabilisation of functional differential equations. Zbl 1129.34330
Appleby, John A. D.; Mao, Xuerong
42
2005
Stabilisation of hybrid stochastic differential equations by delay feedback control. Zbl 1149.93027
Mao, Xuerong; Lam, James; Huang, Lirong
42
2008
Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1378.65036
Mao, Xuerong
41
2016
Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model. Zbl 1230.65011
Szpruch, Lukasz; Mao, Xuerong; Higham, Desmond J.; Pan, Jiazhu
41
2011
Delay-dependent exponential stability of neutral stochastic delay systems. Zbl 1367.93511
Huang, Lirong; Mao, Xuerong
40
2009
Numerical solutions of stochastic functional differential equations. Zbl 1055.65011
Mao, Xuerong
39
2003
Numerical solutions of stochastic differential delay equations under the generalized Khasminskii-type conditions. Zbl 1215.65015
Mao, Xuerong
39
2011
Stochastic stabilization of hybrid differential equations. Zbl 1257.93103
Deng, Feiqi; Luo, Qi; Mao, Xuerong
38
2012
On input-to-state stability of stochastic retarded systems with Markovian switching. Zbl 1367.93597
Huang, Lirong; Mao, Xuerong
38
2009
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
37
2015
Delay population dynamics and environmental noise. Zbl 1093.60033
Mao, Xuerong
37
2005
Convergence of the Euler–Maruyama method for stochastic differential equations with Markovian switching. Zbl 1044.65007
Yuan, Chenggui; Mao, Xuerong
37
2004
Asymptotic properties of neutral stochastic differential delay equations. Zbl 0964.60066
Mao, Xuerong
34
2000
Asymptotic properties of stochastic population dynamics. Zbl 1171.34038
Pang, Sulin; Deng, Feiqi; Mao, Xuerong
34
2008
Stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1259.93127
Hu, Liangjian; Mao, Xuerong; Shen, Yi
33
2013
LaSalle-type theorems for stochastic differential delay equations. Zbl 0958.60057
Mao, Xuerong
33
1999
Stochastic functional differential equations with Markovian switching. Zbl 1034.60063
Mao, X.
33
1999
Almost sure exponential stabilisation of stochastic systems by state-feedback control. Zbl 1283.93303
Hu, Liangjian; Mao, Xuerong
32
2008
Robust stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1369.93693
Hu, Liangjian; Mao, Xuerong; Zhang, Liguo
32
2013
Razumikhin method and exponential stability of hybrid stochastic delay interval systems. Zbl 1127.60072
Mao, Xuerong; Lam, James; Xu, Shengyuan; Gao, Huijun
31
2006
Stability of singular stochastic systems with Markovian switching. Zbl 1368.93767
Huang, Lirong; Mao, Xuerong
31
2011
Almost sure and moment exponential stability of Euler-Maruyama discretizations for hybrid stochastic differential equations. Zbl 1141.65006
Pang, Sulin; Deng, Feiqi; Mao, Xuerong
31
2008
Noise suppresses or expresses exponential growth. Zbl 1157.93515
Deng, Feiqi; Luo, Qi; Mao, Xuerong; Pang, Sulin
31
2008
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
30
2014
Exponential stability of non-linear stochastic evolution equations. Zbl 0933.60072
Liu, Kai; Mao, Xuerong
29
1998
Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068
Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz
28
2013
Stability of stochastic neural networks. Zbl 1060.92502
Liao, X. X.; Mao, X.
27
1996
Robust delayed-state-feedback stabilization of uncertain stochastic systems. Zbl 1162.93389
Huang, Lirong; Mao, Xuerong
27
2009
Stability in distribution of stochastic differential delay equations with Markovian switching. Zbl 1157.60330
Yuan, Chenggui; Zou, Jiezhong; Mao, Xuerong
26
2003
Numerical method for stationary distribution of stochastic differential equations with Markovian switching. Zbl 1066.65016
Mao, Xuerong; Yuan, Chenggui; Yin, G.
25
2005
Almost sure exponential stability of backward Euler-Maruyama discretizations for hybrid stochastic differential equations. Zbl 1227.65012
Mao, Xuerong; Shen, Yi; Gray, Alison
25
2011
The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications. Zbl 1157.60061
Yin, Juliang; Mao, Xuerong
25
2008
A note on almost sure asymptotic stability of neutral stochastic delay differential equations with Markovian switching. Zbl 1257.93106
Li, Xiaoyue; Mao, Xuerong
24
2012
Analyzing multi-level Monte Carlo for options with non-globally Lipschitz payoff. Zbl 1199.65008
Giles, Michael B.; Higham, Desmond J.; Mao, Xuerong
24
2009
On stabilization of partial differential equations by noise. Zbl 0986.60058
Caraballo, Tomás; Liu, Kai; Mao, Xuerong
24
2001
Almost sure exponential stabilization by discrete-time stochastic feedback control. Zbl 1359.93517
Mao, Xuerong
24
2016
Stability analysis of continuous-time switched systems with a random switching signal. Zbl 1360.93756
Xiong, Junlin; Lam, James; Shu, Zhan; Mao, Xuerong
24
2014
Stability analysis for continuous-time switched systems with stochastic switching signals. Zbl 1423.93407
Wu, Xiaotai; Tang, Yang; Cao, Jinde; Mao, Xuerong
23
2018
Strong convergence of the stopped Euler-Maruyama method for nonlinear stochastic differential equations. Zbl 1329.65018
Liu, Wei; Mao, Xuerong
23
2013
Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations. Zbl 1232.60046
Luo, Qi; Mao, Xuerong; Shen, Yi
22
2011
Positivity preserving truncated Euler-Maruyama method for stochastic Lotka-Volterra competition model. Zbl 1465.65008
Mao, Xuerong; Wei, Fengying; Wiriyakraikul, Teerapot
1
2021
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
3
2020
Stabilisation of highly nonlinear hybrid stochastic differential delay equations by delay feedback control. Zbl 1430.93166
Li, Xiaoyue; Mao, Xuerong
3
2020
Advances in the truncated Euler-Maruyama method for stochastic differential delay equations. Zbl 1462.60073
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Xia, Dengfeng
2
2020
Stochastic delay foraging arena predator-prey system with Markov switching. Zbl 1437.37115
Cai, Yongmei; Cai, Siyang; Mao, Xuerong
2
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
2
2020
Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay. Zbl 1443.60064
Mao, Wei; Hu, Liangjian; Mao, Xuerong
1
2020
The truncated Euler-Maruyama method for stochastic differential equations with Hölder diffusion coefficients. Zbl 07126160
Yang, Hao; Wu, Fuke; Kloeden, Peter E.; Mao, Xuerong
1
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
1
2020
Delay feedback control for switching diffusion systems based on discrete-time observations. Zbl 07268419
Li, Xiaoyue; Mao, Xuerong; Mukama, Denis S.; Yuan, Chenggui
1
2020
The truncated EM method for stochastic differential equations with Poisson jumps. Zbl 1426.60070
Deng, Shounian; Fei, Weiyin; Liu, Wei; Mao, Xuerong
7
2019
Stability of highly nonlinear hybrid stochastic integro-differential delay equations. Zbl 1409.45007
Fei, Chen; Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong; Yan, Litan
7
2019
A stochastic differential equation SIS epidemic model with two independent Brownian motions. Zbl 1415.92173
Cai, Siyang; Cai, Yongmei; Mao, Xuerong
7
2019
Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations. Zbl 1420.60073
Lu, Zhenyu; Hu, Junhao; Mao, Xuerong
4
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
3
2019
Generalized criteria on delay-dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1410.93135
Fei, 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 1415.92147
Deng, Shounian; Fei, Weiyin; Liang, Yong; Mao, Xuerong
3
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
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
The averaging method for multivalued SDEs with jumps and non-Lipschitz coefficients. Zbl 1420.60074
Mao, Wei; Hu, Liangjian; You, Surong; Mao, Xuerong
2
2019
Stability in distribution of stochastic functional differential equations. Zbl 1425.93299
Wang, Ya; Wu, Fuke; Mao, Xuerong
1
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
1
2019
A stochastic differential equation SIS epidemic model with two correlated Brownian motions. Zbl 1430.37109
Cai, Siyang; Cai, Yongmei; Mao, Xuerong
1
2019
Stability analysis for continuous-time switched systems with stochastic switching signals. Zbl 1423.93407
Wu, Xiaotai; Tang, Yang; Cao, Jinde; Mao, Xuerong
23
2018
The truncated Euler-Maruyama method for stochastic differential delay equations. Zbl 1414.60043
Guo, Qian; Mao, Xuerong; Yue, Rongxian
13
2018
Convergence rate and stability of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1458.65008
Hu, Liangjian; Li, Xiaoyue; Mao, Xuerong
11
2018
Stability of highly nonlinear neutral stochastic differential delay equations. Zbl 1390.93843
Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong; Liang, Yong
11
2018
The truncated milstein method for stochastic differential equations with commutative noise. Zbl 06860317
Guo, Qian; Liu, Wei; Mao, Xuerong; Yue, Rongxian
9
2018
A note on the partially truncated Euler-Maruyama method. Zbl 1397.65017
Guo, Qian; Liu, Wei; Mao, Xuerong
6
2018
Structured robust stability and boundedness of nonlinear hybrid delay systems. Zbl 1394.93343
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan
6
2018
Stochastic prey-predator system with foraging arena scheme. Zbl 07183295
Cai, Yongmei; Mao, Xuerong
4
2018
Approximate solutions for a class of doubly perturbed stochastic differential equations. Zbl 1445.60042
Mao, 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 1388.93097
Li, Yuyuan; Lu, Jianqiu; Kou, Chunhai; Mao, Xuerong; Pan, Jiafeng
2
2018
Almost sure exponential stability of hybrid stochastic functional differential equations. Zbl 1380.34121
Song, Minghui; Mao, Xuerong
2
2018
The partially truncated Euler-Maruyama method and its stability and boundedness. Zbl 1358.65008
Guo, Qian; Liu, Wei; Mao, Xuerong; Yue, Rongxian
16
2017
Delay dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1376.93115
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan
14
2017
On \(p\)th moment stabilization of hybrid systems by discrete-time feedback control. Zbl 1373.93362
Dong, Ran; Mao, Xuerong
5
2017
Almost sure stability of the Euler-Maruyama method with random variable stepsize for stochastic differential equations. Zbl 1371.65010
Liu, Wei; Mao, Xuerong
5
2017
Optimal transient growth on a vortex ring and its transition via cascade of ringlets. Zbl 1419.76268
Mao, X.; Hussain, F.
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
2
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
2
2017
Neutral stochastic functional differential equations with Lévy jumps under the local Lipschitz condition. Zbl 1422.34238
Mao, Wei; Hu, Liangjian; Mao, Xuerong
1
2017
Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1378.65036
Mao, Xuerong
41
2016
Almost sure exponential stabilization by discrete-time stochastic feedback control. Zbl 1359.93517
Mao, Xuerong
24
2016
Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching. Zbl 1400.92484
Greenhalgh, D.; Liang, Y.; Mao, X.
14
2016
Almost sure exponential stability of stochastic differential delay equations. Zbl 1343.60072
Guo, Qian; Mao, Xuerong; Yue, Rongxian
14
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
8
2016
SDE SIS epidemic model with demographic stochasticity and varying population size. Zbl 1410.92120
Greenhalgh, D.; Liang, Y.; Mao, X.
8
2016
Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching. Zbl 1349.93329
Feng, Lichao; Li, Shoumei; Mao, Xuerong
8
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
6
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
A stochastic differential equation model for the spread of HIV amongst people who inject drugs. Zbl 1348.92156
Liang, Yanfeng; Greenhalgh, David; Mao, Xuerong
4
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
64
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
37
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
15
2015
Almost sure exponential stability in the numerical simulation of stochastic differential equations. Zbl 1327.65016
Mao, Xuerong
12
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
11
2015
Numerical stationary distribution and its convergence for nonlinear stochastic differential equations. Zbl 1310.65009
Liu, Wei; Mao, Xuerong
7
2015
Demographic stochasticity in the SDE SIS epidemic model. Zbl 1326.34081
Greenhalgh, David; Liang, Yanfeng; Mao, Xuerong
5
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
5
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
On the averaging principle for stochastic delay differential equations with jumps. Zbl 1346.60087
Mao, 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 1348.60088
You, 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 1297.93176
Mao, Xuerong; Liu, Wei; Hu, Liangjian; Luo, Qi; Lu, Jianqiu
30
2014
Stability analysis of continuous-time switched systems with a random switching signal. Zbl 1360.93756
Xiong, Junlin; Lam, James; Shu, Zhan; Mao, Xuerong
24
2014
Stochastic dynamics of SIRS epidemic models with random perturbation. Zbl 1306.92064
Yang, Qingshan; Mao, Xuerong
16
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
Mean square polynomial stability of numerical solutions to a class of stochastic differential equations. Zbl 1294.60094
Liu, Wei; Foondun, Mohammud; Mao, Xuerong
4
2014
Parameter estimation for the stochastic SIS epidemic model. Zbl 1333.62282
Pan, Jiafeng; Gray, Alison; Greenhalgh, David; Mao, Xuerong
2
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
61
2013
Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations. Zbl 1263.92042
Yang, Qingshan; Mao, Xuerong
46
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
45
2013
Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control. Zbl 1315.93083
Mao, Xuerong
43
2013
Stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1259.93127
Hu, Liangjian; Mao, Xuerong; Shen, Yi
33
2013
Robust stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1369.93693
Hu, Liangjian; Mao, Xuerong; Zhang, Liguo
32
2013
Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068
Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz
28
2013
Strong convergence of the stopped Euler-Maruyama method for nonlinear stochastic differential equations. Zbl 1329.65018
Liu, Wei; Mao, Xuerong
23
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.
14
2013
Khasminskii-type theorems for stochastic functional differential equations. Zbl 1281.34128
Song, Minghui; Hu, Liangjian; Mao, Xuerong; Zhang, Liguo
12
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
5
2013
Asymptotic moment boundedness of the numerical solutions of stochastic differential equations. Zbl 1288.65009
Liu, Wei; Mao, Xuerong
4
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
Razumikhin-type theorems on exponential stability of SDDEs containing singularly perturbed random processes. Zbl 1279.60069
Hu, Junhao; Mao, Xuerong; Yuan, Chenggui
1
2013
The SIS epidemic model with Markovian switching. Zbl 1271.92030
Gray, Alison; Greenhalgh, David; Mao, Xuerong; Pan, Jiafeng
51
2012
Stochastic stabilization of hybrid differential equations. Zbl 1257.93103
Deng, Feiqi; Luo, Qi; Mao, Xuerong
38
2012
A note on almost sure asymptotic stability of neutral stochastic delay differential equations with Markovian switching. Zbl 1257.93106
Li, Xiaoyue; Mao, Xuerong
24
2012
On exponential almost sure stability of random jump systems. Zbl 1369.93698
Li, Chanying; Chen, Michael Z. Q.; Lam, James; Mao, Xuerong
18
2012
The improved LaSalle-type theorems for stochastic differential delay equations. Zbl 1248.60065
Li, Xiaoyue; Mao, Xuerong
10
2012
Lyapunov exponents of hybrid stochastic heat equations. Zbl 1250.93122
Bao, Jianhai; Mao, Xuerong; Yuan, Chenggui
7
2012
The Euler-Maruyama approximation for the asset price in the mean-reverting-theta stochastic volatility model. Zbl 1268.91128
Baduraliya, Chaminda H.; Mao, Xuerong
3
2012
A stochastic differential equation SIS epidemic model. Zbl 1263.34068
Gray, A.; Greenhalgh, D.; Hu, L.; Mao, X.; Pan, J.
201
2011
Competitive Lotka-Volterra population dynamics with jumps. Zbl 1228.93112
Bao, Jianhai; Mao, Xuerong; Yin, Geroge; Yuan, Chenggui
117
2011
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
92
2011
Stationary distribution of stochastic population systems. Zbl 1387.60107
Mao, Xuerong
59
2011
Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model. Zbl 1230.65011
Szpruch, Lukasz; Mao, Xuerong; Higham, Desmond J.; Pan, Jiazhu
41
2011
Numerical solutions of stochastic differential delay equations under the generalized Khasminskii-type conditions. Zbl 1215.65015
Mao, Xuerong
39
2011
...and 172 more Documents
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Cited by 3,854 Authors

190 Mao, Xuerong
124 Jiang, Daqing
74 Wang, Ke
66 Liu, Meng
64 Wu, Fuke
63 Yuan, Chenggui
53 Zhu, Quanxin
50 Liu, Qun
47 Deng, Feiqi
46 Yin, George Gang
43 Cao, Jinde
41 Hayat, Tasawar
36 Park, Juhyun (Jessie)
35 Balasubramaniam, Pagavathigounder
34 Shi, Peng
34 Zhang, Weihai
33 Zhang, Qimin
32 Li, Wenxue
32 Yuan, Sanling
31 Xu, Shengyuan
30 Zhang, Qingling
29 Caraballo Garrido, Tomás
29 Lam, James
29 Rodkina, Alexandra
28 Al-saedi, Ahmed Eid Salem
28 Yin, Gang George
27 Huang, Chengming
27 Liu, Fei
27 Zhou, Wuneng
26 Hu, Shigeng
26 Li, Xiaoyue
25 Meng, Xinzhu
25 Wang, Guoliang
24 Hu, Liangjian
24 Wang, Zidong
24 Xi, Fubao
23 Bao, Jianhai
22 Appleby, John A. D.
22 Ding, Xiaohua
22 Fan, Shengjun
22 Gan, Siqing
22 Zou, Xiaoling
21 Kao, Yonggui
20 Fang, Jian’an
20 Ji, Chunyan
20 Shi, Ningzhong
20 Zhong, Shou-Ming
20 Zhu, Chao
19 Liu, Xinzhi
19 Ren, Yong
19 Xia, Jianwei
18 He, Shuping
18 Nguyen Huu Du
18 Nguyen, Dang Hai
18 Shen, Yi
18 Su, Huan
18 Zhang, Tonghua
17 Kloeden, Peter Eris
17 Liu, Wei
17 Lv, Jingliang
17 Sun, Ji Tao
17 Zhou, Shaobo
16 Karimi, Hamid Reza
16 O’Regan, Donal
16 Shao, Jinghai
15 Chen, Huabin
15 Fei, Weiyin
15 Jiang, Feng
15 Lahrouz, Aadil
15 Liu, Zhijun
15 Song, Minghui
15 Teng, Zhi-dong
15 Wan, Li
15 Wang, Weiming
15 Zhao, Yanan
14 Hu, Junhao
14 Jiang, Long
14 Liu, Kai
14 Mao, Wei
14 Mu, Xiaowu
14 Wang, Xiaojie
14 Wang, Zhen
14 Wu, Zhengguang
14 Zhao, Dianli
14 Zhuang, Guangming
13 Guo, Qian
13 Higham, Desmond J.
13 Hu, Yangzi
13 Jentzen, Arnulf
13 Li, Hongyi
13 Liu, Lei
13 Liu, Mingzhu
13 Luo, Qi
13 Sakthivel, Rathinasamy
13 Settati, Adel
13 Sun, Yongzheng
13 Tong, Jinying
13 Wang, Changhong
13 Zhang, Zhenzhong
12 Bai, Chuanzhi
...and 3,754 more Authors
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Cited in 337 Serials

262 Applied Mathematics and Computation
212 Journal of the Franklin Institute
141 Advances in Difference Equations
134 Journal of Computational and Applied Mathematics
121 Automatica
118 Journal of Mathematical Analysis and Applications
118 Stochastic Analysis and Applications
109 Abstract and Applied Analysis
105 Mathematical Problems in Engineering
87 Systems & Control Letters
73 Nonlinear Analysis. Hybrid Systems
69 Nonlinear Dynamics
69 Discrete Dynamics in Nature and Society
63 Communications in Nonlinear Science and Numerical Simulation
63 Discrete and Continuous Dynamical Systems. Series B
57 International Journal of Control
55 Applied Mathematics Letters
54 International Journal of Robust and Nonlinear Control
47 Chaos, Solitons and Fractals
47 International Journal of Biomathematics
45 Statistics & Probability Letters
42 Circuits, Systems, and Signal Processing
40 Stochastic Processes and their Applications
40 Stochastics and Dynamics
33 Asian Journal of Control
32 Journal of Applied Mathematics
31 Applied Mathematical Modelling
30 Applied Numerical Mathematics
30 Journal of Applied Mathematics and Computing
30 International Journal of Systems Science. Principles and Applications of Systems and Integration
29 Complexity
28 International Journal of Systems Science
28 Journal of Differential Equations
26 SIAM Journal on Control and Optimization
24 Physica A
23 Computers & Mathematics with Applications
23 Chaos
23 Journal of Applied Analysis and Computation
22 BIT
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22 International Journal of Computer Mathematics
21 Mathematics and Computers in Simulation
20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Journal of Systems Science and Complexity
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19 Neural Networks
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18 Journal of Mathematical Biology
18 Nonlinear Analysis. Real World Applications
17 Optimal Control Applications & Methods
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16 Journal of Inequalities and Applications
15 Numerical Algorithms
14 Acta Applicandae Mathematicae
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13 Applicable Analysis
13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
13 Journal of Nonlinear Science
13 Methodology and Computing in Applied Probability
13 Journal of Nonlinear Science and Applications
12 Fuzzy Sets and Systems
12 Mathematical and Computer Modelling
12 Acta Mathematica Sinica. English Series
12 Frontiers of Mathematics in China
11 Journal of Mathematical Physics
11 The Annals of Applied Probability
10 Physics Letters. A
10 Applied Mathematics and Optimization
10 Computational and Applied Mathematics
10 Differential Equations and Dynamical Systems
10 Science China. Mathematics
10 Journal of Theoretical Biology
9 Proceedings of the American Mathematical Society
9 SIAM Journal on Numerical Analysis
9 Signal Processing
9 International Journal of Adaptive Control and Signal Processing
9 Automation and Remote Control
9 Journal of Dynamics and Differential Equations
9 Nonlinear Analysis. Modelling and Control
8 Journal of Statistical Physics
8 Mathematical Biosciences
8 Bulletin of Mathematical Biology
8 Acta Mathematicae Applicatae Sinica. English Series
8 Discrete and Continuous Dynamical Systems
8 Journal of Mathematical Chemistry
8 Communications on Pure and Applied Analysis
8 Mediterranean Journal of Mathematics
8 Journal of Biological Dynamics
7 Advances in Applied Probability
7 Journal of Applied Probability
7 Stochastic Models
7 Journal of Control Theory and Applications
7 Computational & Mathematical Methods in Medicine
7 Mathematical Control and Related Fields
6 Applied Mathematics and Mechanics. (English Edition)
6 Journal of Integral Equations and Applications
6 SIAM Journal on Applied Mathematics
6 Random Operators and Stochastic Equations
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