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## Xu, Rui

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 Author ID: xu.rui Published as: Xu, R.; Xu, Rui External Links: MGP · ResearchGate
 Documents Indexed: 287 Publications since 1996 Reviewing Activity: 43 Reviews
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#### Co-Authors

 13 single-authored 33 Chaplain, Mark A. J. 30 Yang, Pinghua 29 Tian, Xiaohong 26 Davidson, Fordyce A. 20 Du, Yanke 20 Gan, Qintao 18 Ma, Zhien 16 Chen, Lansun 16 Liu, Qiming 12 Feng, Guanghui 12 Wang, Lingshu 11 Lin, Jiazhe 9 Wang, Lili 9 Wang, Zhiping 8 Hao, Feilong 8 Li, Zhe 7 Zhang, Shihua 7 Zhang, Xiao 6 Chen, Hui 6 Dong, Shijie 6 Feng, Hanying 5 Li, Liangchen 5 Li, Yanlu 5 Yang, Junyuan 5 Zhang, Fengqin 4 Bai, Hongfang 4 Geng, Lijie 4 Wang, Haibin 3 Li, Yuji 3 Li, Yunfei 3 Mao, Shuxue 3 Rong, Xiaojian 3 Wang, Zhi-Qiang 3 Wang, Zhiqiang 3 Zhao, Xiaoqing 2 Bai, Ning 2 Kang, Xibing 2 Wang, Zhaowei 2 Wang, Zhili 2 Xu, Yancong 2 Yang, Jianfa 1 Chen, Guo-li 1 Chen, Yenwei 1 Duan, Lijiang 1 Haneishi, Hideaki 1 Hu, Baocun 1 Hu, Renxi 1 Hu, Wenhua 1 Kido, Shoji 1 Li, Haiying 1 Li, Jiaxu 1 Li, Xiaotong 1 Li, Yanlun 1 Lili, Wang 1 Liu, Junli 1 Liu, Qimin 1 Lu, Zhiqi 1 Masuda, Yoshitada 1 Song, Chenwei 1 Sun, Hongquan 1 Sun, Liwei 1 Swastika, Windra 1 Tian, Meimei 1 Wang, Jiaoyan 1 Wang, Lingxia 1 Wang, Weiguo 1 Wu, Xiangdong 1 Wu, Zheng 1 Yang, Yu 1 Zhang, Shijun 1 Zhang, Tianping 1 Zhao, Zhongmin 1 Zhou, Yicang
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#### Serials

 26 Applied Mathematics and Computation 17 Journal of Biomathematics 12 Journal of Beihua University. Natural Science 11 Discrete Dynamics in Nature and Society 9 Journal of Mathematical Analysis and Applications 9 Communications in Nonlinear Science and Numerical Simulation 9 Nonlinear Analysis. Real World Applications 9 Mathematical Sciences Research Journal 9 International Journal of Biomathematics 7 Mathematical Methods in the Applied Sciences 7 Journal of Hebei Normal University. Natural Science Edition 6 Chinese Quarterly Journal of Mathematics 6 Nonlinear Analysis. Modelling and Control 5 Chaos, Solitons and Fractals 5 Journal of Applied Analysis and Computation 4 Computers & Mathematics with Applications 4 Journal of Engineering Mathematics (Xi’an) 4 Mathematical and Computer Modelling 4 Mathematica Applicata 4 Differential Equations and Dynamical Systems 4 Journal of Applied Mathematics and Computing 3 IMA Journal of Applied Mathematics 3 Indian Journal of Pure & Applied Mathematics 3 Kyungpook Mathematical Journal 3 Mathematics in Practice and Theory 3 Journal of Systems Science and Mathematical Sciences 3 Annals of Differential Equations 3 Applied Mathematics. Series A (Chinese Edition) 3 Electronic Journal of Differential Equations (EJDE) 3 Nonlinear Dynamics 3 Abstract and Applied Analysis 3 Journal of Biological Systems 3 Journal of Applied Mathematics 3 Advances in Difference Equations 3 International Journal of Information & Systems Sciences 3 Journal of Biological Dynamics 2 Applicable Analysis 2 Journal of Computational and Applied Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Natural Science of Heilongjiang University 2 Applied Mathematical Modelling 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 International Journal of Applied Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Acta Mathematica Scientia. Series B. (English Edition) 2 International Journal of Pure and Applied Mathematics 2 Journal of Applied Mathematics & Informatics 1 Journal of the Franklin Institute 1 Rocky Mountain Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Journal of Mathematical Research & Exposition 1 The Canadian Applied Mathematics Quarterly 1 Applied Mathematics. Series B (English Edition) 1 Communications on Applied Nonlinear Analysis 1 Bulletin of Biomathematics 1 Mathematical Sciences Research Hot-Line 1 The ANZIAM Journal 1 Nonlinear Functional Analysis and Applications 1 Mathematical Modelling and Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Computational & Mathematical Methods in Medicine 1 Journal of Hangzhou Normal University. Natural Sciences Edition 1 Journal of Xinyang Normal University. Natural Science Edition 1 Chinese Journal of Engineering Mathematics 1 Journal of Theoretical Biology
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#### Fields

 243 Biology and other natural sciences (92-XX) 203 Ordinary differential equations (34-XX) 39 Partial differential equations (35-XX) 31 Dynamical systems and ergodic theory (37-XX) 17 Systems theory; control (93-XX) 10 Numerical analysis (65-XX) 7 Difference and functional equations (39-XX) 5 Probability theory and stochastic processes (60-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Operator theory (47-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

148 Publications have been cited 1,429 times in 1,097 Documents Cited by Year
Global stability of a SIR epidemic model with nonlinear incidence rate and time delay. Zbl 1183.34131
Xu, Rui; Ma, Zhien
2009
An HBV model with diffusion and time delay. Zbl 1400.92560
Xu, Rui; Ma, Zhien
2009
Global stability of an HIV-1 infection model with saturation infection and intracellular delay. Zbl 1222.34101
Xu, Rui
2011
Stability of a delayed SIRS epidemic model with a nonlinear incidence rate. Zbl 1198.34098
Xu, Rui; Ma, Zhien
2009
Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment. Zbl 0949.92028
Xu, Rui; Chen, Lansun
2000
Stability and Hopf bifurcation in a ratio-dependent predator-prey system with stage structure. Zbl 1146.34323
Xu, Rui; Ma, Zhien
2008
Global attractivity of the periodic Lotka-Volterra system. Zbl 0973.92039
Yang, Pinghua; Xu, Rui
1999
Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments. Zbl 1066.92059
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Global stability and Hopf bifurcation of a predator-prey model with stage structure and delayed predator response. Zbl 1242.92063
Xu, Rui
2012
Stability and bifurcation analysis of a ratio-dependent predator-prey model with time delay. Zbl 1186.34122
Xu, Rui; Gan, Qintao; Ma, Zhien
2009
Persistence and global stability of a ratio-dependent predator-prey model with stage structure. Zbl 1058.92053
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Global stability of a delayed SEIRS epidemic model with saturation incidence rate. Zbl 1204.34096
Xu, Rui; Ma, Zhien
2010
Stability and Hopf bifurcation in a viral infection model with nonlinear incidence rate and delayed immune response. Zbl 1239.92071
Wang, Zhiping; Xu, Rui
2012
Global stability of a Lotka–Volterra type predator–prey model with stage structure and time delay. Zbl 1056.92063
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays. Zbl 1048.34119
Xu, R.; Chaplain, M. A. J.; Davidson, F. A.
2004
Travelling waves of a delayed SIRS epidemic model with spatial diffusion. Zbl 1202.35046
Gan, Qintao; Xu, Rui; Yang, Pinghua
2011
Global stability of a delayed SIRS epidemic model with saturation incidence and temporary immunity. Zbl 1193.34115
Xu, Rui; Ma, Zhien; Wang, Zhiping
2010
A reaction-diffusion predator-prey model with stage structure and nonlocal delay. Zbl 1099.92081
Xu, Rui
2006
Periodic solutions of a discrete time Lotka–Volterra type food-chain model with delays. Zbl 1081.92043
Xu, Rui; Chen, Lansun; Hao, Feilong
2005
Periodic solutions for a predator-prey model with Holling-type functional response and time delays. Zbl 1064.34053
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2005
Stability and Hopf bifurcation in a predator-prey model with stage structure for the predator. Zbl 1154.92327
Xu, Rui; Ma, Zhien
2008
Global dynamics of a predator-prey model with time delay and stage structure for the prey. Zbl 1223.34115
Xu, Rui
2011
Synchronization of chaotic neural networks with mixed time delays. Zbl 1221.93222
Gan, Qintao; Xu, Rui; Kang, Xibing
2011
Bifurcation and chaos in a ratio-dependent predator-prey system with time delay. Zbl 1197.37028
Gan, Qintao; Xu, Rui; Yang, Pinghua
2009
Global stability of a reaction-diffusion predator-prey model with a nonlocal delay. Zbl 1185.35130
Xu, Rui; Ma, Zhien
2009
The effect of dispersal on the permanence of a predator-prey system with time delay. Zbl 1142.34055
Xu, Rui; Ma, Zhien
2008
Persistence and global stability for $$n$$-species ratio-dependent predator-prey system with time delays. Zbl 1039.34069
Xu, Rui; Chen, Lansun
2002
Persistence and global stability for a delayed nonautonomous predator-prey system without dominating instantaneous negative feedback. Zbl 0997.34070
Xu, Rui; Chen, Lansun
2001
Exponential synchronization of stochastic fuzzy cellular neural networks with time delay in the leakage term and reaction-diffusion. Zbl 1239.93110
Gan, Qintao; Xu, Rui; Yang, Pinghua
2012
Travelling wave and convergence in stage-structured reaction-diffusion competitive models with nonlocal delays. Zbl 1142.35477
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2006
Periodic solutions of a nonautonomous predator–prey system with stage structure and time delays. Zbl 1110.34051
Xu, Rui; Wang, Zhiqiang
2006
Persistence and global stability in a delayed predator-prey system with Michaelis-Menten type functional response. Zbl 1030.34069
Xu, Rui; Chaplain, M. A. J.
2002
Global stability of a delayed epidemic model with latent period and vaccination strategy. Zbl 1254.34107
Xu, Rui
2012
Travelling waves of a hepatitis B virus infection model with spatial diffusion and time delay. Zbl 1243.35160
Gan, Qintao; Xu, Rui; Yang, Pinghua; Wu, Zheng
2010
The effect of stage-structure on the permanence of a predator-prey system with time delay. Zbl 1117.92058
Xu, Rui; Ma, Zhien
2007
Permanence and periodicity of a delayed ratio-dependent predator–prey model with stage structure. Zbl 1073.34090
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2005
Periodic solution for a three-species Lotka-Volterra food-chain model with time delays. Zbl 1067.92063
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Persistence and stability of a stage-structured predator-prey model with time delays. Zbl 1064.92049
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Global dynamics of a delayed epidemic model with latency and relapse. Zbl 1295.93005
Xu, Rui
2013
Global asymptotic stability in $$n$$-species nonautonomous Lotka-Volterra competitive systems with infinite delays. Zbl 1029.34060
Xu, Rui; Chaplain, M. A. J.; Chen, Lansun
2002
Travelling waves of a three-species Lotka-Volterra food-chain model with spatial diffusion and time delays. Zbl 1197.35074
Gan, Qintao; Xu, Rui; Zhang, Xiao; Yang, Pinghua
2010
Global stability and Hopf bifurcation of an HIV-1 infection model with saturation incidence and delayed CTL immune response. Zbl 1334.92241
Tian, Xiaohong; Xu, Rui
2014
Traveling waves of a diffusive predator-prey model with nonlocal delay and stage structure. Zbl 1208.34108
Zhang, Xiao; Xu, Rui
2011
Persistence and global stability for a delayed non-autonomous single species model with dispersion and feedback control. Zbl 1231.34131
Liu, Qiming; Xu, Rui
2003
Global dynamics of an SEIS epidemic model with saturation incidence and latent period. Zbl 1237.92043
Xu, Rui
2012
Global dynamics of a predator-prey system with Holling type II functional response. Zbl 1272.49084
Tian, Xiaohong; Xu, Rui
2011
Global dynamics of an HIV-1 infection model with distributed intracellular delays. Zbl 1221.37204
Xu, Rui
2011
Asymptotic properties of a hepatitis B virus infection model with time delay. Zbl 1204.34111
Tian, Xiaohong; Xu, Rui
2010
Existence and uniqueness of limit cycles in an enzyme-catalysed reaction system. Zbl 1048.34085
Davidson, F. A.; Xu, R.; Liu, J.
2002
Persistence and global stability in a delayed Gause-type predator-prey system without dominating instantaneous negative feedbacks. Zbl 1013.34074
Xu, Rui; Chaplain, M. A. J.
2002
Threshold dynamics of an HIV-1 virus model with both virus-to-cell and cell-to-cell transmissions, intracellular delay, and humoral immunity. Zbl 1426.92078
Lin, Jiazhe; Xu, Rui; Tian, Xiaohong
2017
Global dynamics of an age-structured in-host viral infection model with humoral immunity. Zbl 1418.92173
Li, Liangchen; Xu, Rui
2016
Global dynamics of an SEIRI epidemiological model with time delay. Zbl 1410.37084
Xu, Rui
2014
Modelling and analysis of a delayed predator-prey model with disease in the predator. Zbl 1334.92380
Xu, Rui; Zhang, Shihua
2013
Synchronization of non-identical chaotic delayed fuzzy cellular neural networks based on sliding mode control. Zbl 1239.93021
Gan, Qintao; Xu, Rui; Yang, Pinghua
2012
Stability and bifurcation of a Cohen-Grossberg neural network with discrete delays. Zbl 1283.34065
Liu, Qiming; Xu, Rui
2011
Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delays. Zbl 1130.35349
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2007
A Lotka–Volterra type food chain model with stage structure and time delays. Zbl 1096.34055
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2006
Synchronization of unknown chaotic delayed competitive neural networks with different time scales based on adaptive control and parameter identification. Zbl 1243.93067
Gan, Qintao; Xu, Rui; Kang, Xibing
2012
Travelling waves in an infectious disease model with a fixed latent period and a spatio-temporal delay. Zbl 1217.35196
Gan, Qintao; Xu, Rui; Li, Yanlu; Hu, Renxi
2011
A delayed SIR epidemic model with saturation incidence and a constant infectious period. Zbl 1223.34116
Xu, Rui; Du, Yanke
2011
Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays. Zbl 1116.92072
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Persistence and global stability for a three-species ratio-dependent predator-prey system with time delays in two-patch environments. Zbl 1018.34073
Xu, Rui; Chen, Lansun
2002
Persistence and stability for a two-species ratio-dependent predator-prey system with distributed time delay. Zbl 1008.34065
Xu, R.; Davidson, F. A.; Chaplain, M. A. J.
2002
Stability and bifurcation analysis for a neural network model with discrete and distributed delays. Zbl 1275.34102
Du, Yanke; Xu, Rui; Liu, Qiming
2013
Global dynamics of a delayed HIV-1 infection model with CTL immune response. Zbl 1229.92059
Li, Yunfei; Xu, Rui; Li, Zhe; Mao, Shuxue
2011
Stability and Hopf bifurcation of a delayed reaction-diffusion neural network. Zbl 1228.35041
Gan, Qintao; Xu, Rui
2011
Persistence and global stability for three-species ratio-dependent predator-prey system with time delays. Zbl 0979.92038
Xu, Rui; Chen, Lansun
2001
A new technique to design circularly polarized microstrip antenna by fractal defected ground structure. Zbl 1391.78272
Wei, K.; Li, J. Y.; Wang, L.; Xu, R.; Xing, Z. J.
2017
Modelling and analysis of an eco-epidemiological model with time delay and stage structure. Zbl 1334.34179
Wang, Lingshu; Xu, Rui; Feng, Guanghui
2016
Global stability and Hopf bifurcations of an SEIR epidemiological model with logistic growth and time delay. Zbl 1410.92143
Xu, Rui; Wang, Zhili; Zhang, Fengqin
2015
Global dynamics of an SEIS epidemiological model with time delay describing a latent period. Zbl 1258.92034
Xu, Rui
2012
Periodic solutions of a Cohen-Grossberg-type BAM neural networks with distributed delays and impulses. Zbl 1244.93122
Liu, Qiming; Xu, Rui
2012
Global asymptotic stability of stochastic reaction-diffusion neural networks with time delays in the leakage terms. Zbl 1239.92002
Li, Zhe; Xu, Rui
2012
Global stability and travelling waves of a predator-prey model with diffusion and nonlocal maturation delay. Zbl 1222.35099
Zhang, Xiao; Xu, Rui
2010
Stability analysis of a delayed SIR epidemic model with stage structure and nonlinear incidence. Zbl 1183.34130
Tian, Xiaohong; Xu, Rui
2009
Travelling waves and global attractivity of an SIRS disease model with spatial diffusion and temporary immunity. Zbl 1334.92438
Zhang, Shihua; Xu, Rui
2013
Global dynamics of a delayed HIV-1 infection model with absorption and saturation infection. Zbl 1280.92066
Xu, Rui
2012
Periodic solutions of high-order Cohen-Grossberg neural networks with distributed delays. Zbl 1221.37215
Liu, Qiming; Xu, Rui
2011
Global convergence of a predator-prey model with stage structure and spatio-temporal delay. Zbl 1221.35191
Xu, Rui
2011
Stability analysis of a ratio-dependent chemostat model with time delay and variable yield. Zbl 1342.92122
Li, Zhe; Xu, Rui
2010
A stage-structured predator-prey system with time delay. Zbl 1220.34104
Wang, Lingshu; Xu, Rui; Feng, Guanghui
2010
Darboux transformations and soliton solutions for classical Boussinesq-Burgers equation. Zbl 1392.35078
Xu, Rui
2008
Global asymptotic stability of Schoener’s competitive model with delays. Zbl 1127.92311
Liu, Qiming; Xu, Rui; Wang, Weiguo
2006
Global stability of a stage-structured predator-prey model with prey dispersal. Zbl 1080.92069
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2005
Periodic solutions of a predator–prey model with stage structure for predator. Zbl 1048.92035
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Threshold dynamics of an age-space structured brucellosis disease model with Neumann boundary condition. Zbl 1430.92117
Yang, Junyuan; Xu, Rui; Li, Jiaxu
2019
Mathematical analysis of a cholera infection model with vaccination strategy. Zbl 1428.34109
Tian, Xiaohong; Xu, Rui; Lin, Jiazhe
2019
Hopf bifurcation analysis of a BAM neural network with multiple time delays and diffusion. Zbl 1410.34208
Tian, Xiaohong; Xu, Rui; Gan, Qintao
2015
Mathematical analysis of the global dynamics of an eco-epidemiological model with time delay. Zbl 1293.49101
Xu, Rui
2013
Mathematical analysis of an improved hepatitis B virus model. Zbl 1297.92086
Wang, Lili; Xu, Rui
2012
Traveling wave solutions in a three-species food-chain model with diffusion and delays. Zbl 1303.35115
Du, Yanke; Xu, Rui
2012
Stability and bifurcation of a class of discrete-time Cohen-Grossberg neural networks with delays. Zbl 1215.39019
Liu, Qiming; Xu, Rui; Wang, Zhiping
2011
Stability and bifurcation analysis on a ratio-dependent predator-prey model with prey dispersal and time delay. Zbl 1186.34123
Xu, Rui; Gan, Qintao; Ma, Zhien
2009
Stability and bifurcation in a Beddington-DeAngelis type predator-prey model with prey dispersal. Zbl 1167.34038
Xu, Rui; Ma, Zhien; Gan, Qintao
2008
A stage-structured predator-prey model with time delays. Zbl 1158.34345
Xu, Rui; Hao, Feilong; Chen, Lansun
2006
Periodic solutions of an $$n$$-species Lotka–Volterra type food-chain model with time delays. Zbl 1081.92044
Xu, Rui; Chen, Lansun; Hao, Feilong
2005
Modelling and analysis of a competitive model with stage structure. Zbl 1066.92058
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2005
Periodic solutions of a competitive model with distributed time delays. Zbl 1115.92054
Chen, Guo-li; Xu, Rui; Liu, Qi-ming
2004
Persistence and periodicity of a delayed ratio-dependent predator–prey model with stage structure and prey dispersal. Zbl 1056.92062
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Threshold dynamics of an age-space structured brucellosis disease model with Neumann boundary condition. Zbl 1430.92117
Yang, Junyuan; Xu, Rui; Li, Jiaxu
2019
Mathematical analysis of a cholera infection model with vaccination strategy. Zbl 1428.34109
Tian, Xiaohong; Xu, Rui; Lin, Jiazhe
2019
An efficient approach for post-buckling analysis of sandwich structures with elastic-plastic material behavior. Zbl 1425.74193
Huang, Qun; Choe, Jongchol; Yang, Jie; Hui, Yanchuan; Xu, Rui; Hu, Heng
2019
An age-structured within-host HIV-1 infection model with virus-to-cell and cell-to-cell transmissions. Zbl 1448.92358
Xu, Rui; Tian, Xiaohong; Zhang, Shihua
2018
Global dynamics of an age-structured cholera model with both human-to-human and environment-to-human transmissions and saturation incidence. Zbl 07183021
Lin, Jiazhe; Xu, Rui; Tian, Xiaohong
2018
Threshold dynamics of an HIV-1 virus model with both virus-to-cell and cell-to-cell transmissions, intracellular delay, and humoral immunity. Zbl 1426.92078
Lin, Jiazhe; Xu, Rui; Tian, Xiaohong
2017
A new technique to design circularly polarized microstrip antenna by fractal defected ground structure. Zbl 1391.78272
Wei, K.; Li, J. Y.; Wang, L.; Xu, R.; Xing, Z. J.
2017
Global dynamics of a tuberculosis transmission model with age of infection and incomplete treatment. Zbl 1422.92175
Xu, Rui; Tian, Xiaohong; Zhang, Fengqin
2017
Synchronization analysis for stochastic reaction-diffusion Cohen-Grossberg neural networks with Neumann boundary conditions via periodically intermittent control. Zbl 1444.35103
Wang, Lili; Xu, Rui; Wang, Zhiqiang
2017
Passivity analysis and state estimation for a class of memristor-based neural networks with multiple proportional delays. Zbl 1422.92007
Liu, Jian; Xu, Rui
2017
Stability and Hopf bifurcation of a delayed Cohen-Grossberg neural network with diffusion. Zbl 1357.35037
Tian, Xiaohong; Xu, Rui
2017
Global dynamics of an age-structured in-host viral infection model with humoral immunity. Zbl 1418.92173
Li, Liangchen; Xu, Rui
2016
Modelling and analysis of an eco-epidemiological model with time delay and stage structure. Zbl 1334.34179
Wang, Lingshu; Xu, Rui; Feng, Guanghui
2016
Global stability of an SEIR epidemic model with vaccination. Zbl 1347.34121
Wang, Lili; Xu, Rui
2016
Global dynamics of a delayed SEIS infectious disease model with logistic growth and saturation incidence. Zbl 1347.34123
Xu, Rui; Zhang, Shihua; Zhang, Fengqin
2016
Global stability and Hopf bifurcations of an SEIR epidemiological model with logistic growth and time delay. Zbl 1410.92143
Xu, Rui; Wang, Zhili; Zhang, Fengqin
2015
Hopf bifurcation analysis of a BAM neural network with multiple time delays and diffusion. Zbl 1410.34208
Tian, Xiaohong; Xu, Rui; Gan, Qintao
2015
Global stability of a delayed ratio-dependent predator-prey model with Gompertz growth for prey. Zbl 1334.34182
Zhang, Shihua; Xu, Rui
2015
Global dynamics of a class of HIV-1 infection models with latently infected cells. Zbl 1416.92172
Wang, Haibin; Xu, Rui; Wang, Zhaowei; Chen, Hui
2015
Global stability and Hopf bifurcation of a delayed eco-epidemiological model with Holling type II functional response. Zbl 1337.34084
Tian, Xiaohong; Xu, Rui
2015
Global dynamics of a delayed predator-prey model with stage structure and Holling type II functional response. Zbl 1405.34068
Wang, Lingshu; Xu, Rui; Feng, Guanghui
2015
Global stability and Hopf bifurcation of an HIV-1 infection model with saturation incidence and delayed CTL immune response. Zbl 1334.92241
Tian, Xiaohong; Xu, Rui
2014
Global dynamics of an SEIRI epidemiological model with time delay. Zbl 1410.37084
Xu, Rui
2014
Stability and traveling waves of an epidemic model with relapse and spatial diffusion. Zbl 1325.92086
Wang, Zhiping; Xu, Rui
2014
Global dynamics of a delayed eco-epidemiological model with Holling type-III functional response. Zbl 1300.34190
Xu, Rui; Tian, Xiaohong
2014
Global stability of a delayed HIV-1 infection model with absorption and CTL immune response. Zbl 1323.92118
Tian, Xiaohong; Xu, Rui
2014
Stability analysis of an SEIS epidemic model with nonlinear incidence and time delay. Zbl 1314.34163
Tian, Xiaohong; Xu, Rui
2014
Pattern formation in two classes of SIR epidemic models with spatial diffusion. Zbl 1313.92087
Du, Yanke; Xu, Rui
2014
Global dynamics of a delayed epidemic model with latency and relapse. Zbl 1295.93005
Xu, Rui
2013
Modelling and analysis of a delayed predator-prey model with disease in the predator. Zbl 1334.92380
Xu, Rui; Zhang, Shihua
2013
Stability and bifurcation analysis for a neural network model with discrete and distributed delays. Zbl 1275.34102
Du, Yanke; Xu, Rui; Liu, Qiming
2013
Travelling waves and global attractivity of an SIRS disease model with spatial diffusion and temporary immunity. Zbl 1334.92438
Zhang, Shihua; Xu, Rui
2013
Mathematical analysis of the global dynamics of an eco-epidemiological model with time delay. Zbl 1293.49101
Xu, Rui
2013
Stability analysis for impulsive stochastic reaction-diffusion differential system and its application to neural networks. Zbl 1397.35136
Du, Yanke; Li, Yanlu; Xu, Rui
2013
Travelling waves of a diffusive epidemic model with latency and relapse. Zbl 1264.34167
Wang, Zhiping; Xu, Rui
2013
Hopf bifurcation of a strengthen type predator-prey model with time delay and stage structure. Zbl 1313.92072
Wang, Lili; Xu, Rui
2013
Traveling waves of an epidemic model with vaccination. Zbl 1303.35117
Wang, Zhiping; Xu, Rui
2013
Global stability and Hopf bifurcation of a predator-prey model with stage structure and delayed predator response. Zbl 1242.92063
Xu, Rui
2012
Stability and Hopf bifurcation in a viral infection model with nonlinear incidence rate and delayed immune response. Zbl 1239.92071
Wang, Zhiping; Xu, Rui
2012
Exponential synchronization of stochastic fuzzy cellular neural networks with time delay in the leakage term and reaction-diffusion. Zbl 1239.93110
Gan, Qintao; Xu, Rui; Yang, Pinghua
2012
Global stability of a delayed epidemic model with latent period and vaccination strategy. Zbl 1254.34107
Xu, Rui
2012
Global dynamics of an SEIS epidemic model with saturation incidence and latent period. Zbl 1237.92043
Xu, Rui
2012
Synchronization of non-identical chaotic delayed fuzzy cellular neural networks based on sliding mode control. Zbl 1239.93021
Gan, Qintao; Xu, Rui; Yang, Pinghua
2012
Synchronization of unknown chaotic delayed competitive neural networks with different time scales based on adaptive control and parameter identification. Zbl 1243.93067
Gan, Qintao; Xu, Rui; Kang, Xibing
2012
Global dynamics of an SEIS epidemiological model with time delay describing a latent period. Zbl 1258.92034
Xu, Rui
2012
Periodic solutions of a Cohen-Grossberg-type BAM neural networks with distributed delays and impulses. Zbl 1244.93122
Liu, Qiming; Xu, Rui
2012
Global asymptotic stability of stochastic reaction-diffusion neural networks with time delays in the leakage terms. Zbl 1239.92002
Li, Zhe; Xu, Rui
2012
Global dynamics of a delayed HIV-1 infection model with absorption and saturation infection. Zbl 1280.92066
Xu, Rui
2012
Mathematical analysis of an improved hepatitis B virus model. Zbl 1297.92086
Wang, Lili; Xu, Rui
2012
Traveling wave solutions in a three-species food-chain model with diffusion and delays. Zbl 1303.35115
Du, Yanke; Xu, Rui
2012
Traveling waves in a reaction-diffusion predator-prey system with nonlocal delays. Zbl 1291.35020
Li, Zhe; Xu, Rui
2012
Global robust exponential stability analysis for interval neural networks with mixed delays. Zbl 1256.93079
Du, Yanke; Xu, Rui
2012
Global stability of an HIV-1 infection model with saturation infection and intracellular delay. Zbl 1222.34101
Xu, Rui
2011
Travelling waves of a delayed SIRS epidemic model with spatial diffusion. Zbl 1202.35046
Gan, Qintao; Xu, Rui; Yang, Pinghua
2011
Global dynamics of a predator-prey model with time delay and stage structure for the prey. Zbl 1223.34115
Xu, Rui
2011
Synchronization of chaotic neural networks with mixed time delays. Zbl 1221.93222
Gan, Qintao; Xu, Rui; Kang, Xibing
2011
Traveling waves of a diffusive predator-prey model with nonlocal delay and stage structure. Zbl 1208.34108
Zhang, Xiao; Xu, Rui
2011
Global dynamics of a predator-prey system with Holling type II functional response. Zbl 1272.49084
Tian, Xiaohong; Xu, Rui
2011
Global dynamics of an HIV-1 infection model with distributed intracellular delays. Zbl 1221.37204
Xu, Rui
2011
Stability and bifurcation of a Cohen-Grossberg neural network with discrete delays. Zbl 1283.34065
Liu, Qiming; Xu, Rui
2011
Travelling waves in an infectious disease model with a fixed latent period and a spatio-temporal delay. Zbl 1217.35196
Gan, Qintao; Xu, Rui; Li, Yanlu; Hu, Renxi
2011
A delayed SIR epidemic model with saturation incidence and a constant infectious period. Zbl 1223.34116
Xu, Rui; Du, Yanke
2011
Global dynamics of a delayed HIV-1 infection model with CTL immune response. Zbl 1229.92059
Li, Yunfei; Xu, Rui; Li, Zhe; Mao, Shuxue
2011
Stability and Hopf bifurcation of a delayed reaction-diffusion neural network. Zbl 1228.35041
Gan, Qintao; Xu, Rui
2011
Periodic solutions of high-order Cohen-Grossberg neural networks with distributed delays. Zbl 1221.37215
Liu, Qiming; Xu, Rui
2011
Global convergence of a predator-prey model with stage structure and spatio-temporal delay. Zbl 1221.35191
Xu, Rui
2011
Stability and bifurcation of a class of discrete-time Cohen-Grossberg neural networks with delays. Zbl 1215.39019
Liu, Qiming; Xu, Rui; Wang, Zhiping
2011
Global stability of an eco-epidemiological model with time delay and saturation incidence. Zbl 1233.92071
Mao, Shuxue; Xu, Rui; Li, Zhe; Li, Yunfei
2011
Global dynamics of a vector disease model with saturation incidence and time delay. Zbl 1246.37098
Xu, Rui; Ma, Zhien
2011
Analysis of a stage-structured predator-prey system concerning impulsive control strategy. Zbl 1256.34039
Wang, Lingshu; Xu, Rui; Feng, Guanghui
2011
A fractional order SIRS model with standard incidence rate. Zbl 1262.92037
Mao, Shuxue; Xu, Rui; Li, Yunfei
2011
Global stability of a virus infection model with time delay and absorption. Zbl 1229.92061
Tian, Xiaohong; Xu, Rui
2011
Global stability of a delayed SEIRS epidemic model with saturation incidence rate. Zbl 1204.34096
Xu, Rui; Ma, Zhien
2010
Global stability of a delayed SIRS epidemic model with saturation incidence and temporary immunity. Zbl 1193.34115
Xu, Rui; Ma, Zhien; Wang, Zhiping
2010
Travelling waves of a hepatitis B virus infection model with spatial diffusion and time delay. Zbl 1243.35160
Gan, Qintao; Xu, Rui; Yang, Pinghua; Wu, Zheng
2010
Travelling waves of a three-species Lotka-Volterra food-chain model with spatial diffusion and time delays. Zbl 1197.35074
Gan, Qintao; Xu, Rui; Zhang, Xiao; Yang, Pinghua
2010
Asymptotic properties of a hepatitis B virus infection model with time delay. Zbl 1204.34111
Tian, Xiaohong; Xu, Rui
2010
Global stability and travelling waves of a predator-prey model with diffusion and nonlocal maturation delay. Zbl 1222.35099
Zhang, Xiao; Xu, Rui
2010
Stability analysis of a ratio-dependent chemostat model with time delay and variable yield. Zbl 1342.92122
Li, Zhe; Xu, Rui
2010
A stage-structured predator-prey system with time delay. Zbl 1220.34104
Wang, Lingshu; Xu, Rui; Feng, Guanghui
2010
A delayed SIR epidemic model with nonlinear incidence rate and pulse vaccination. Zbl 1278.34084
Du, Yanke; Xu, Rui
2010
Global stability of a SIR epidemic model with nonlinear incidence rate and time delay. Zbl 1183.34131
Xu, Rui; Ma, Zhien
2009
An HBV model with diffusion and time delay. Zbl 1400.92560
Xu, Rui; Ma, Zhien
2009
Stability of a delayed SIRS epidemic model with a nonlinear incidence rate. Zbl 1198.34098
Xu, Rui; Ma, Zhien
2009
Stability and bifurcation analysis of a ratio-dependent predator-prey model with time delay. Zbl 1186.34122
Xu, Rui; Gan, Qintao; Ma, Zhien
2009
Bifurcation and chaos in a ratio-dependent predator-prey system with time delay. Zbl 1197.37028
Gan, Qintao; Xu, Rui; Yang, Pinghua
2009
Global stability of a reaction-diffusion predator-prey model with a nonlocal delay. Zbl 1185.35130
Xu, Rui; Ma, Zhien
2009
Stability analysis of a delayed SIR epidemic model with stage structure and nonlinear incidence. Zbl 1183.34130
Tian, Xiaohong; Xu, Rui
2009
Stability and bifurcation analysis on a ratio-dependent predator-prey model with prey dispersal and time delay. Zbl 1186.34123
Xu, Rui; Gan, Qintao; Ma, Zhien
2009
Stability and Hopf bifurcation of a predator-prey system with time delay and Holling type-II functional response. Zbl 1342.92207
Wang, Lingshu; Xu, Rui; Feng, Guanghui
2009
Dynamics of a stage-structured predator-prey model concerning impulsive control strategy. Zbl 1342.92165
Du, Yanke; Xu, Rui; Duan, Lijiang
2009
Global stability for a delayed predator-prey system with stage structure for the predator. Zbl 1183.34132
Zhang, Xiao; Xu, Rui; Gan, Qintao
2009
Bifurcation analysis for a tri-neuron discrete-time BAM neural network with delays. Zbl 1198.37122
Gan, Qintao; Xu, Rui; Hu, Wenhua; Yang, Pinghua
2009
Stability and Hopf bifurcation in a ratio-dependent predator-prey system with stage structure. Zbl 1146.34323
Xu, Rui; Ma, Zhien
2008
Stability and Hopf bifurcation in a predator-prey model with stage structure for the predator. Zbl 1154.92327
Xu, Rui; Ma, Zhien
2008
The effect of dispersal on the permanence of a predator-prey system with time delay. Zbl 1142.34055
Xu, Rui; Ma, Zhien
2008
Darboux transformations and soliton solutions for classical Boussinesq-Burgers equation. Zbl 1392.35078
Xu, Rui
2008
Stability and bifurcation in a Beddington-DeAngelis type predator-prey model with prey dispersal. Zbl 1167.34038
Xu, Rui; Ma, Zhien; Gan, Qintao
2008
Bifurcation analysis for a predator-prey system with prey dispersal and time delay. Zbl 1155.92038
Gan, Qiantao; Xu, Rui; Yang, Pinghua
2008
The effect of stage-structure on the permanence of a predator-prey system with time delay. Zbl 1117.92058
Xu, Rui; Ma, Zhien
2007
...and 48 more Documents
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#### Cited by 1,506 Authors

 56 Xu, Rui 41 Chen, Fengde 33 Teng, Zhi-dong 22 Huo, Hai-Feng 20 Elaiw, Ahmed M. 20 Xu, Changjin 16 Hattaf, Khalid 16 Ma, Wanbiao 16 Muroya, Yoshiaki 15 Gan, Qintao 14 Cao, Jinde 14 Li, Zhong 13 Chen, Lansun 13 Enatsu, Yoichi 12 Jiang, Daqing 12 Yousfi, Noura 12 Zhao, Hongyong 12 Zhong, Shou-Ming 11 Chaplain, Mark A. J. 11 Li, Yongkun 10 Davidson, Fordyce A. 10 Li, Wan-Tong 10 Tian, Xiaohong 10 Xie, Xiangdong 10 Zhang, Long 9 Chattopadhyay, Joydev 9 Feng, Guanghui 9 Miao, Hui 9 Wang, Lingshu 9 Zhu, Linhe 8 Kar, Tapan Kumar 8 Liu, Qun 8 Nakata, Yukihiko 8 Samanta, Sudip K. 8 Shao, Yuanfu 8 Wang, Jinliang 8 Wang, Weiming 7 Dai, Binxiang 7 El Fatini, Mohamed 7 Hayat, Tasawar 7 Kumar, Abhishek 7 Kuniya, Toshikazu 7 Liao, Maoxin 7 Liu, Shengqiang 7 Nilam, Murray E. Alexander 7 Song, Xinyu 7 Wang, Ke 7 Wang, Wei 7 Weng, Peixuan 7 Xia, Yonghui 7 Xiang, Hong 7 Xu, Zhiting 7 Yang, Junyuan 7 Yang, Yu 7 Zhang, Qingling 7 Zhang, Zizhen 6 Al-saedi, Ahmed Eid Salem 6 Bairagi, Nandadulal 6 Balasubramaniam, Pagavathigounder 6 Cai, Liming 6 Chakraborty, Kunal 6 Du, Zengji 6 Gao, Shujing 6 Huang, Lihong 6 Jiao, Jianjun 6 Li, Wenxue 6 Lin, Zhigui 6 Liu, Chao 6 Liu, Zhijun 6 Liu, Zijian 6 Muhammadhaji, Ahmadjan 6 Pei, Yongzhen 6 Wu, Yusen 6 Zhang, Xuebing 6 Zhao, Huitao 6 Zhao, Kaihong 5 Abdurahman, Xamxinur 5 Adak, Debadatta 5 Alshamrani, Noura H. 5 Biswas, Santanu 5 Cui, Jingan 5 de la Sen, Manuel 5 Dhar, Joydip 5 Ding, Xiaoquan 5 Dubey, Balram 5 Feng, Zhaosheng 5 Fu, Shengmao 5 Guo, Songbai 5 Jiang, Haijun 5 Jin, Zhen 5 Lahrouz, Aadil 5 Li, Peiluan 5 Li, Xuezhi 5 Liao, Xinyuan 5 Lin, Yiping 5 Liu, Xianning 5 Ma, Zhihui 5 Manna, Kalyan 5 Pettersson, Roger 5 Shi, Chunling ...and 1,406 more Authors
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#### Cited in 126 Serials

 137 Applied Mathematics and Computation 63 Nonlinear Analysis. Real World Applications 63 Advances in Difference Equations 55 International Journal of Biomathematics 48 Abstract and Applied Analysis 47 Discrete Dynamics in Nature and Society 39 Nonlinear Dynamics 37 Chaos, Solitons and Fractals 31 Journal of Mathematical Analysis and Applications 28 Journal of Applied Mathematics and Computing 26 Applied Mathematical Modelling 25 Computers & Mathematics with Applications 23 Mathematical Methods in the Applied Sciences 23 Communications in Nonlinear Science and Numerical Simulation 22 Journal of Computational and Applied Mathematics 22 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 18 Discrete and Continuous Dynamical Systems. Series B 16 Journal of Applied Mathematics 15 Journal of the Franklin Institute 14 Journal of Biological Dynamics 12 Mathematics and Computers in Simulation 12 Mathematical Problems in Engineering 12 Nonlinear Analysis. Modelling and Control 10 Physica A 10 Applied Mathematics Letters 10 Complexity 9 Mathematical and Computer Modelling 9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 9 Mathematical Biosciences and Engineering 8 Neural Networks 8 Journal of Biological Systems 8 Communications on Pure and Applied Analysis 8 Computational & Mathematical Methods in Medicine 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Computational and Applied Mathematics 7 Differential Equations and Dynamical Systems 7 International Journal of Differential Equations 7 Journal of Applied Analysis and Computation 6 International Journal of Applied and Computational Mathematics 5 Journal of Mathematical Biology 5 Mathematical Biosciences 5 Theoretical Population Biology 5 International Journal of Computer Mathematics 5 Journal of Nonlinear Science and Applications 5 Afrika Matematika 4 Rocky Mountain Journal of Mathematics 4 Bulletin of Mathematical Biology 4 Journal of Differential Equations 4 Acta Applicandae Mathematicae 4 Journal of Difference Equations and Applications 4 Chaos 4 Dynamical Systems 4 Journal of Mathematics 3 Applicable Analysis 3 International Journal of Mathematics and Mathematical Sciences 3 Stochastic Analysis and Applications 3 Japan Journal of Industrial and Applied Mathematics 3 Journal of Dynamics and Differential Equations 3 Journal of Inequalities and Applications 3 Qualitative Theory of Dynamical Systems 3 Boundary Value Problems 3 Nonlinear Analysis. Hybrid Systems 3 Asian-European Journal of Mathematics 2 International Journal of Control 2 Journal of Engineering Mathematics 2 Journal of Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Information Sciences 2 Ricerche di Matematica 2 Journal of Nonlinear Science 2 Applied Mathematics. Series B (English Edition) 2 Random Operators and Stochastic Equations 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Systems Science and Complexity 2 Advances in Complex Systems 2 Analysis and Applications (Singapore) 2 International Journal of Computational Methods 2 Acta Mechanica Sinica 2 Communications in Theoretical Physics 2 Journal of Theoretical Biology 2 Electronic Journal of Mathematical Analysis and Applications EJMAA 2 Journal of Function Spaces 2 Open Mathematics 1 International Journal of Engineering Science 1 Indian Journal of Pure & Applied Mathematics 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Fuzzy Sets and Systems 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Circuits, Systems, and Signal Processing 1 Acta Mathematicae Applicatae Sinica. English Series 1 International Journal of Mathematics 1 European Journal of Applied Mathematics 1 Applications of Mathematics 1 Numerical Algorithms 1 The Journal of Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of the Egyptian Mathematical Society 1 Georgian Mathematical Journal ...and 26 more Serials
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#### Cited in 32 Fields

 933 Biology and other natural sciences (92-XX) 692 Ordinary differential equations (34-XX) 184 Partial differential equations (35-XX) 170 Dynamical systems and ergodic theory (37-XX) 102 Systems theory; control (93-XX) 46 Numerical analysis (65-XX) 40 Difference and functional equations (39-XX) 36 Probability theory and stochastic processes (60-XX) 33 Operator theory (47-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 14 Computer science (68-XX) 10 Operations research, mathematical programming (90-XX) 9 Real functions (26-XX) 9 Integral equations (45-XX) 7 Combinatorics (05-XX) 7 Information and communication theory, circuits (94-XX) 4 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1