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Author ID: xu.rui Recent zbMATH articles by "Xu, Rui"
Published as: Xu, Rui; Xu, R.
External Links: MGP · ResearchGate
all top 5

Co-Authors

17 single-authored
36 Tian, Xiaohong
33 Chaplain, Mark A. J.
30 Yang, Pinghua
26 Davidson, Fordyce A.
21 Gan, Qintao
20 Du, Yanke
20 Lin, Jiazhe
18 Ma, Zhien
16 Chen, Lansun
16 Liu, Qiming
13 Wang, Lili
12 Feng, Guanghui
12 Wang, Lingshu
10 Bai, Ning
10 Song, Chenwei
9 Wang, Zhiping
8 Hao, Feilong
8 Li, Liangchen
8 Li, Zhe
8 Wang, Zhiqiang
8 Zhang, Shihua
7 Zhang, Xiao
6 Chen, Hui
6 Dong, Shijie
6 Feng, Hanying
6 Yang, Junyuan
5 Li, Yanlu
5 Zhang, Fengqin
4 Bai, Hongfang
4 Geng, Lijie
4 Li, Yeping
4 Wang, Haibin
3 Li, Jian-Ying
3 Li, Weixi
3 Li, Yuji
3 Li, Yunfei
3 Liu, Jian
3 Mao, Shuxue
3 Rong, Xiaojian
3 Zhao, Xiaoqing
2 Hu, Heng
2 Huang, Qun
2 Jin, Zhen
2 Kang, Xibing
2 Li, Jiaxu
2 Li, Quhao
2 Liu, Shutian
2 Ren, Jian
2 Shao, Lijing
2 Wang, Ling
2 Wang, Zhaowei
2 Wang, Zhili
2 Wei, Kun
2 Wu, Qiwei
2 Xing, Zi-Jian
2 Xu, Yancong
2 Yang, Jianfa
2 Yang, Jie
1 Bailey, Quentin G.
1 Basu, Anirban
1 Belouettar, Salim
1 Ben Zineb, Tarak
1 Boulaars, S.
1 Chen, Dongyang
1 Chen, Guo-li
1 Chen, Hua
1 Chen, Junling
1 Chen, Yenwei
1 Chen, Zhengzheng
1 Cheng, Gongpin
1 Choe, Jongchol
1 Corena, Juan Camilo
1 Cui, Pingyuan
1 Duan, Lijiang
1 Fan, Kun
1 Gao, Chang
1 Gard, Alexander S.
1 Giunta, Gaetano
1 Haldar, Justin P.
1 Haneishi, Hideaki
1 Hu, Baocun
1 Hu, Renxi
1 Hu, Wenhua
1 Hui, Yanchuan
1 Jin, Jun
1 Kido, Shoji
1 Kiyomoto, Shinsaku
1 Komvopoulos, Kyriakos
1 Kun, Wei
1 Le, Van Minh
1 Leahy, Richard M.
1 Levi, Anthony F. J.
1 Li, Baopu
1 Li, Haiying
1 Li, Haojie
1 Li, Jiapeng
1 Li, Xiaotong
1 Li, Yanlun
1 Liang, Guowei
1 Lili, Wang
...and 80 more Co-Authors
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Serials

27 Applied Mathematics and Computation
17 Journal of Biomathematics
12 Discrete Dynamics in Nature and Society
12 Nonlinear Analysis. Real World Applications
12 Journal of Beihua University. Natural Science
11 International Journal of Biomathematics
10 Journal of Mathematical Analysis and Applications
10 Communications in Nonlinear Science and Numerical Simulation
10 Nonlinear Analysis. Modelling and Control
9 Mathematical Sciences Research Journal
9 Mathematical Biosciences and Engineering
7 Mathematical Methods in the Applied Sciences
7 Journal of Hebei Normal University. Natural Science Edition
7 Journal of Applied Mathematics and Computing
6 Chinese Quarterly Journal of Mathematics
6 Advances in Difference Equations
6 Journal of Applied Analysis and Computation
5 Chaos, Solitons and Fractals
5 Mathematica Applicata
5 Differential Equations and Dynamical Systems
5 Journal of Biological Dynamics
4 Computers & Mathematics with Applications
4 Journal of Engineering Mathematics (Xi’an)
4 Mathematical and Computer Modelling
4 Applied Mathematical Modelling
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Discrete and Continuous Dynamical Systems. Series B
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 Journal of Natural Science of Heilongjiang University
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 IEEE Transactions on Antennas and Propagation
3 Journal of Applied Mathematics
3 Acta Mathematica Scientia. Series B. (English Edition)
3 International Journal of Information & Systems Sciences
2 Applicable Analysis
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Computational and Applied Mathematics
2 Mathematics and Computers in Simulation
2 Acta Mathematicae Applicatae Sinica. English Series
2 International Journal of Applied Mathematics
2 International Journal of Pure and Applied Mathematics
2 Quantum Information Processing
2 Journal of Applied Mathematics & Informatics
2 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Acta Mechanica
1 International Journal of Engineering Science
1 Journal of Computational Physics
1 Journal of the Franklin Institute
1 Journal of Mathematical Physics
1 Physica A
1 Physics Letters. B
1 Rocky Mountain Journal of Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Automatica
1 International Journal of Mathematics and Mathematical Sciences
1 International Journal for Numerical Methods in Engineering
1 Kybernetika
1 Mathematische Nachrichten
1 Acta Mathematicae Applicatae Sinica
1 Journal of Mathematical Research & Exposition
1 Applied Mathematics Letters
1 Neural Networks
1 Annals of Physics
1 Journal of Statistical Computation and Simulation
1 The Canadian Applied Mathematics Quarterly
1 Applied Mathematics. Series B (English Edition)
1 Transactions of Nanjing University of Aeronautics & Astronautics
1 Communications on Applied Nonlinear Analysis
1 Mathematical Problems in Engineering
1 Bulletin of Biomathematics
1 Mathematical Sciences Research Hot-Line
1 Combustion Theory and Modelling
1 The ANZIAM Journal
1 IEEE Transactions on Image Processing
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 Stochastics
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 Communications in Theoretical Physics
1 Chinese Journal of Engineering Mathematics
1 Communications in Mathematical Research
1 Journal of Theoretical Biology
1 AIMS Mathematics
1 Electronic Research Archive
1 Mathematics in Applied Sciences and Engineering

Publications by Year

Citations contained in zbMATH Open

202 Publications have been cited 1,978 times in 1,523 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
96
2009
Global stability of an HIV-1 infection model with saturation infection and intracellular delay. Zbl 1222.34101
Xu, Rui
89
2011
An HBV model with diffusion and time delay. Zbl 1400.92560
Xu, Rui; Ma, Zhien
79
2009
Stability of a delayed SIRS epidemic model with a nonlinear incidence rate. Zbl 1198.34098
Xu, Rui; Ma, Zhien
75
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
50
2000
Stability and Hopf bifurcation in a ratio-dependent predator-prey system with stage structure. Zbl 1146.34323
Xu, Rui; Ma, Zhien
48
2008
Global stability of a delayed SEIRS epidemic model with saturation incidence rate. Zbl 1204.34096
Xu, Rui; Ma, Zhien
40
2010
Stability and bifurcation analysis of a ratio-dependent predator-prey model with time delay. Zbl 1186.34122
Xu, Rui; Gan, Qintao; Ma, Zhien
40
2009
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.
36
2004
Global attractivity of the periodic Lotka-Volterra system. Zbl 0973.92039
Yang, Pinghua; Xu, Rui
35
1999
Global stability and Hopf bifurcation of a predator-prey model with stage structure and delayed predator response. Zbl 1242.92063
Xu, Rui
35
2012
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
34
2017
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.
33
2004
Stability and Hopf bifurcation in a viral infection model with nonlinear incidence rate and delayed immune response. Zbl 1239.92071
Wang, Zhiping; Xu, Rui
32
2012
Threshold dynamics of an age-space structured brucellosis disease model with Neumann boundary condition. Zbl 1430.92117
Yang, Junyuan; Xu, Rui; Li, Jiaxu
31
2019
Global stability of a delayed SIRS epidemic model with saturation incidence and temporary immunity. Zbl 1193.34115
Xu, Rui; Ma, Zhien; Wang, Zhiping
31
2010
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.
30
2004
Travelling waves of a delayed SIRS epidemic model with spatial diffusion. Zbl 1202.35046
Gan, Qintao; Xu, Rui; Yang, Pinghua
29
2011
Synchronization of chaotic neural networks with mixed time delays. Zbl 1221.93222
Gan, Qintao; Xu, Rui; Kang, Xibing
25
2011
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.
25
2004
Global stability of a delayed epidemic model with latent period and vaccination strategy. Zbl 1254.34107
Xu, Rui
25
2012
A reaction-diffusion predator-prey model with stage structure and nonlocal delay. Zbl 1099.92081
Xu, Rui
24
2006
Stability and Hopf bifurcation in a predator-prey model with stage structure for the predator. Zbl 1154.92327
Xu, Rui; Ma, Zhien
23
2008
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.
23
2005
Periodic solutions of a discrete time Lotka–Volterra type food-chain model with delays. Zbl 1081.92043
Xu, Rui; Chen, Lansun; Hao, Feilong
22
2005
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
22
2012
Global dynamics of a predator-prey model with time delay and stage structure for the prey. Zbl 1223.34115
Xu, Rui
21
2011
Global dynamics of a delayed epidemic model with latency and relapse. Zbl 1295.93005
Xu, Rui
21
2013
The effect of dispersal on the permanence of a predator-prey system with time delay. Zbl 1142.34055
Xu, Rui; Ma, Zhien
19
2008
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
19
2014
Bifurcation and chaos in a ratio-dependent predator-prey system with time delay. Zbl 1197.37028
Gan, Qintao; Xu, Rui; Yang, Pinghua
19
2009
Global stability of a reaction-diffusion predator-prey model with a nonlocal delay. Zbl 1185.35130
Xu, Rui; Ma, Zhien
18
2009
Persistence and global stability for a delayed nonautonomous predator-prey system without dominating instantaneous negative feedback. Zbl 0997.34070
Xu, Rui; Chen, Lansun
18
2001
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
18
2010
Persistence and global stability for \(n\)-species ratio-dependent predator-prey system with time delays. Zbl 1039.34069
Xu, Rui; Chen, Lansun
17
2002
Modelling and analysis of a delayed predator-prey model with disease in the predator. Zbl 1334.92380
Xu, Rui; Zhang, Shihua
17
2013
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.
17
2006
Mathematical analysis of a cholera infection model with vaccination strategy. Zbl 1428.34109
Tian, Xiaohong; Xu, Rui; Lin, Jiazhe
17
2019
Mathematical analysis and application of a cholera transmission model with waning vaccine-induced immunity. Zbl 1453.92288
Bai, Ning; Song, Chenwei; Xu, Rui
17
2021
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.
16
2002
Periodic solutions of a nonautonomous predator–prey system with stage structure and time delays. Zbl 1110.34051
Xu, Rui; Wang, Zhiqiang
16
2006
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.
16
2004
Global dynamics of an HIV-1 infection model with distributed intracellular delays. Zbl 1221.37204
Xu, Rui
15
2011
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.
15
2004
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.
15
2005
Global dynamics of an SEIRI epidemiological model with time delay. Zbl 1410.37084
Xu, Rui
15
2014
Global dynamics of an age-structured in-host viral infection model with humoral immunity. Zbl 1418.92173
Li, Liangchen; Xu, Rui
15
2016
The effect of stage-structure on the permanence of a predator-prey system with time delay. Zbl 1117.92058
Xu, Rui; Ma, Zhien
14
2007
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
14
2015
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
13
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
13
2010
Data-driven multiscale finite element method: from concurrence to separation. Zbl 1436.74077
Xu, Rui; Yang, Jie; Yan, Wei; Huang, Qun; Giunta, Gaetano; Belouettar, Salim; Zahrouni, Hamid; Ben Zineb, Tarak; Hu, Heng
13
2020
Global dynamics of an SEIS epidemic model with saturation incidence and latent period. Zbl 1237.92043
Xu, Rui
12
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
12
2012
Global dynamics of a spatial heterogeneous viral infection model with intracellular delay and nonlocal diffusion. Zbl 1481.92148
Liu, Lili; Xu, Rui; Jin, Zhen
12
2020
Turing-Hopf bifurcation of reaction-diffusion neural networks with leakage delay. Zbl 1450.35049
Lin, Jiazhe; Xu, Rui; Li, Liangchen
11
2020
Traveling waves of a diffusive predator-prey model with nonlocal delay and stage structure. Zbl 1208.34108
Zhang, Xiao; Xu, Rui
11
2011
Global dynamics of a predator-prey system with Holling type II functional response. Zbl 1272.49084
Tian, Xiaohong; Xu, Rui
11
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
10
2003
A delayed SIR epidemic model with saturation incidence and a constant infectious period. Zbl 1223.34116
Xu, Rui; Du, Yanke
10
2011
Stability and bifurcation of a Cohen-Grossberg neural network with discrete delays. Zbl 1283.34065
Liu, Qiming; Xu, Rui
10
2011
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
10
2015
Existence and uniqueness of limit cycles in an enzyme-catalysed reaction system. Zbl 1048.34085
Davidson, F. A.; Xu, R.; Liu, J.
9
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.
9
2002
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
9
2012
Modelling and analysis of an eco-epidemiological model with time delay and stage structure. Zbl 1334.34179
Wang, Lingshu; Xu, Rui; Feng, Guanghui
9
2016
Stability analysis of a ratio-dependent chemostat model with time delay and variable yield. Zbl 1342.92122
Li, Zhe; Xu, Rui
9
2010
Asymptotic properties of a hepatitis B virus infection model with time delay. Zbl 1204.34111
Tian, Xiaohong; Xu, Rui
9
2010
Transmission dynamics of cholera with hyperinfectious and hypoinfectious vibrios: mathematical modelling and control strategies. Zbl 1497.92275
Lin, Jiazhe; Xu, Rui; Tian, Xiaohong
9
2019
Global dynamics of an age-structured cholera model with both human-to-human and environment-to-human transmissions and saturation incidence. Zbl 1480.92203
Lin, Jiazhe; Xu, Rui; Tian, Xiaohong
9
2018
Global dynamics of an SEIS epidemiological model with time delay describing a latent period. Zbl 1258.92034
Xu, Rui
9
2012
Global dynamics of a delayed HIV-1 infection model with CTL immune response. Zbl 1229.92059
Li, Yunfei; Xu, Rui; Li, Zhe; Mao, Shuxue
8
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.
8
2007
Persistence and global stability for three-species ratio-dependent predator-prey system with time delays. Zbl 0979.92038
Xu, Rui; Chen, Lansun
8
2001
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.
8
2006
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.
8
2004
Travelling waves and global attractivity of an SIRS disease model with spatial diffusion and temporary immunity. Zbl 1334.92438
Zhang, Shihua; Xu, Rui
8
2013
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
8
2018
Threshold dynamics of an HIV-1 model with both viral and cellular infections, cell-mediated and humoral immune responses. Zbl 1497.92058
Lin, Jiazhe; Xu, Rui; Tian, Xiaohong
8
2019
Stability and Hopf bifurcation of a delayed reaction-diffusion neural network. Zbl 1228.35041
Gan, Qintao; Xu, Rui
7
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
7
2011
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.
7
2002
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
7
2002
Traveling wave solutions in a three-species food-chain model with diffusion and delays. Zbl 1303.35115
Du, Yanke; Xu, Rui
7
2012
Darboux transformations and soliton solutions for classical Boussinesq-Burgers equation. Zbl 1392.35078
Xu, Rui
7
2008
Dynamics of a seasonal brucellosis disease model with nonlocal transmission and spatial diffusion. Zbl 1453.92332
Yang, Junyuan; Xu, Rui; Sun, Hongquan
7
2021
Hopf bifurcation analysis of a BAM neural network with multiple time delays and diffusion. Zbl 1410.34208
Tian, Xiaohong; Xu, Rui; Gan, Qintao
7
2015
Stability and bifurcation analysis for a neural network model with discrete and distributed delays. Zbl 1275.34102
Du, Yanke; Xu, Rui; Liu, Qiming
7
2013
Global dynamics of a delayed HIV-1 infection model with absorption and saturation infection. Zbl 1280.92066
Xu, Rui
7
2012
Global dynamics of a tuberculosis transmission model with age of infection and incomplete treatment. Zbl 1422.92175
Xu, Rui; Tian, Xiaohong; Zhang, Fengqin
7
2017
Global stability and travelling waves of a predator-prey model with diffusion and nonlocal maturation delay. Zbl 1222.35099
Zhang, Xiao; Xu, Rui
6
2010
Stability analysis of a delayed SIR epidemic model with stage structure and nonlinear incidence. Zbl 1183.34130
Tian, Xiaohong; Xu, Rui
6
2009
Global asymptotic stability of stochastic reaction-diffusion neural networks with time delays in the leakage terms. Zbl 1239.92002
Li, Zhe; Xu, Rui
6
2012
Adaptive synchronisation of memristor-based neural networks with leakage delays and applications in chaotic masking secure communication. Zbl 1482.93506
Liu, Jian; Xu, Rui
6
2018
Effect of leakage delay on Hopf bifurcation in a fractional BAM neural network. Zbl 1423.34090
Lin, Jiazhe; Xu, Rui; Li, Liangchen
6
2019
Global dynamics of a vector disease model with saturation incidence and time delay. Zbl 1246.37098
Xu, Rui; Ma, Zhien
5
2011
Periodic solutions of a Cohen-Grossberg-type BAM neural networks with distributed delays and impulses. Zbl 1244.93122
Liu, Qiming; Xu, Rui
5
2012
Mathematical analysis of the global dynamics of an eco-epidemiological model with time delay. Zbl 1293.49101
Xu, Rui
5
2013
Some new Hermite-Hadamard type inequalities for generalized harmonically convex functions involving local fractional integrals. Zbl 1525.26026
Sun, Wenbing; Xu, Rui
5
2021
Topology optimization design of quasi-periodic cellular structures based on erode-dilate operators. Zbl 1506.74288
Li, Quhao; Xu, Rui; Wu, Qiangbo; Liu, Shutian
5
2021
Modelling of HIV viral load and 2-LTR dynamics during high active antiretroviral therapy in a heterogeneous environment. Zbl 1501.92140
Bai, Ning; Xu, Rui
1
2023
Gevrey well-posedness of the hyperbolic Prandtl equations. Zbl 1524.35468
Li, Wei-Xi; Xu, Rui
5
2022
Backward bifurcation and stability analysis in a within-host HIV model with both virus-to-cell infection and cell-to-cell transmission, and anti-retroviral therapy. Zbl 07538483
Bai, Ning; Xu, Rui
3
2022
Large-time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in the half space. Zbl 1507.35274
Wu, Qiwei; Li, Yeping; Xu, Rui
3
2022
Command-filter-based adaptive neural tracking control for a class of nonlinear MIMO state-constrained systems with input delay and saturation. Zbl 1525.93209
Zhou, Yuhao; Wang, Xin; Xu, Rui
2
2022
Global well-posedness of a Prandtl model from MHD in Gevrey function spaces. Zbl 1513.76172
Li, Wei-Xi; Xu, Rui; Yang, Tong
2
2022
Global stability of an SIS epidemic model with age of vaccination. Zbl 1486.92116
Zhang, Shihua; Xu, Rui
2
2022
Dynamics of an HIV infection model with virus diffusion and latently infected cell activation. Zbl 1492.92022
Xu, Rui; Song, Chenwei
1
2022
Mathematical analysis and application of a cholera transmission model with waning vaccine-induced immunity. Zbl 1453.92288
Bai, Ning; Song, Chenwei; Xu, Rui
17
2021
Dynamics of a seasonal brucellosis disease model with nonlocal transmission and spatial diffusion. Zbl 1453.92332
Yang, Junyuan; Xu, Rui; Sun, Hongquan
7
2021
Some new Hermite-Hadamard type inequalities for generalized harmonically convex functions involving local fractional integrals. Zbl 1525.26026
Sun, Wenbing; Xu, Rui
5
2021
Topology optimization design of quasi-periodic cellular structures based on erode-dilate operators. Zbl 1506.74288
Li, Quhao; Xu, Rui; Wu, Qiangbo; Liu, Shutian
5
2021
Well-posedness in Sobolev spaces of the two-dimensional MHD boundary layer equations without viscosity. Zbl 1479.35682
Li, Wei-Xi; Xu, Rui
3
2021
Weak form theory-guided neural network (TgNN-wf) for deep learning of subsurface single- and two-phase flow. Zbl 07513860
Xu, Rui; Zhang, Dongxiao; Rong, Miao; Wang, Nanzhe
2
2021
Traveling waves of a delayed HIV/AIDS epidemic model with treatment and spatial diffusion. Zbl 1479.35193
Gan, Qintao; Xu, Rui; Yang, Jing
1
2021
Plug-and-play sending-or-not-sending twin-field quantum key distribution. Zbl 1509.81433
Xue, Ke; Zhao, Shengmei; Mao, Qianping; Xu, Rui
1
2021
Global stability of an HIV infection model with saturated CTL immune response and intracellular delay. Zbl 1471.92345
Ren, Jian; Xu, Rui; Li, Liangchen
1
2021
Mathematical analysis of an HIV model with latent reservoir, delayed CTL immune response and immune impairment. Zbl 1471.92285
Bai, Ning; Xu, Rui
1
2021
Dynamics of a within-host virus infection model with multiple pathways: stability switch and global stability. Zbl 1481.34097
Song, Chenwei; Xu, Rui; Bai, Ning
1
2021
Data-driven multiscale finite element method: from concurrence to separation. Zbl 1436.74077
Xu, Rui; Yang, Jie; Yan, Wei; Huang, Qun; Giunta, Gaetano; Belouettar, Salim; Zahrouni, Hamid; Ben Zineb, Tarak; Hu, Heng
13
2020
Global dynamics of a spatial heterogeneous viral infection model with intracellular delay and nonlocal diffusion. Zbl 1481.92148
Liu, Lili; Xu, Rui; Jin, Zhen
12
2020
Turing-Hopf bifurcation of reaction-diffusion neural networks with leakage delay. Zbl 1450.35049
Lin, Jiazhe; Xu, Rui; Li, Liangchen
11
2020
Bifurcation analysis of an age-structured SIRI epidemic model. Zbl 1471.92356
Tian, Xiaohong; Xu, Rui; Bai, Ning; Lin, Jiazhe
2
2020
Neutron star structure in the minimal gravitational standard-model extension and the implication to continuous gravitational waves. Zbl 1434.85012
Xu, Rui; Zhao, Junjie; Shao, Lijing
2
2020
A switching control for finite-time synchronization of memristor-based BAM neural networks with stochastic disturbances. Zbl 1455.34084
Li, Liangchen; Xu, Rui; Gan, Qintao; Lin, Jiazhe
1
2020
Predicting the trend and evaluating control strategies of COVID-19 based on a dynamical model. Zbl 1474.62381
Bai, Ning; Song, Chenwei; Xu, Rui
1
2020
Global dynamics and optimal control of a cholera transmission model with vaccination strategy and multiple pathways. Zbl 1467.92226
Song, Chenwei; Xu, Rui; Bai, Ning; Tian, Xiaohong; Lin, Jiazhe
1
2020
Threshold dynamics of an age-space structured brucellosis disease model with Neumann boundary condition. Zbl 1430.92117
Yang, Junyuan; Xu, Rui; Li, Jiaxu
31
2019
Mathematical analysis of a cholera infection model with vaccination strategy. Zbl 1428.34109
Tian, Xiaohong; Xu, Rui; Lin, Jiazhe
17
2019
Transmission dynamics of cholera with hyperinfectious and hypoinfectious vibrios: mathematical modelling and control strategies. Zbl 1497.92275
Lin, Jiazhe; Xu, Rui; Tian, Xiaohong
9
2019
Threshold dynamics of an HIV-1 model with both viral and cellular infections, cell-mediated and humoral immune responses. Zbl 1497.92058
Lin, Jiazhe; Xu, Rui; Tian, Xiaohong
8
2019
Effect of leakage delay on Hopf bifurcation in a fractional BAM neural network. Zbl 1423.34090
Lin, Jiazhe; Xu, Rui; Li, Liangchen
6
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
5
2019
Spatiotemporal dynamics in reaction-diffusion neural networks near a Turing-Hopf bifurcation point. Zbl 1430.35027
Lin, Jiazhe; Xu, Rui; Tian, Xiaohong
4
2019
Mathematical analysis of an age-structured HIV-1 infection model with CTL immune response. Zbl 1470.92355
Tian, Xiaohong; Xu, Rui; Lin, Jiazhe
4
2019
Global dynamics of an age-structured cholera model with multiple transmissions, saturation incidence and imperfect vaccination. Zbl 1447.92444
Lin, Jiazhe; Xu, Rui; Tian, Xiaohong
3
2019
Global dynamics of a tuberculosis model with fast and slow progression and age-dependent latency and infection. Zbl 1448.92359
Xu, Rui; Yang, Junyuan; Tian, Xiaohong; Lin, Jiazhe
3
2019
Dynamical analysis of an age-structured multi-group SIVS epidemic model. Zbl 1497.92320
Yang, Junyuan; Xu, Rui; Luo, Xiaofeng
2
2019
Global stability and Hopf bifurcation of an eco-epidemiological model with time delay. Zbl 1425.34096
Lu, Jinna; Zhang, Xiaoguang; Xu, Rui
2
2019
Pattern formation in reaction-diffusion neural networks with leakage delay. Zbl 1461.35041
Lin, Jiazhe; Xu, Rui; Tian, Xiaohong
1
2019
Calibrated Bayes factors for model comparison. Zbl 07193742
Xu, X.; Lu, P.; MacEachern, S. N.; Xu, R.
1
2019
Global dynamics for a class of infection-age model with nonlinear incidence. Zbl 1418.92181
Li, Yuji; Xu, Rui; Lin, Jiazhe
1
2019
Global dynamics of an age-structured cholera model with both human-to-human and environment-to-human transmissions and saturation incidence. Zbl 1480.92203
Lin, Jiazhe; Xu, Rui; Tian, Xiaohong
9
2018
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
8
2018
Adaptive synchronisation of memristor-based neural networks with leakage delays and applications in chaotic masking secure communication. Zbl 1482.93506
Liu, Jian; Xu, Rui
6
2018
Global dynamics of an epidemiological model with age of infection and disease relapse. Zbl 1447.92494
Xu, Rui
2
2018
Global stability of a delayed eco-epidemiological model with Holling type III functional response. Zbl 1404.92142
Bai, Hongfang; Xu, Rui
1
2018
The stability analysis of an epidemic model with saturating incidence and age-structure in the exposed and infectious classes. Zbl 1446.92232
Li, Yuji; Xu, Rui; Lin, Jiazhe
1
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
34
2017
Global dynamics of a tuberculosis transmission model with age of infection and incomplete treatment. Zbl 1422.92175
Xu, Rui; Tian, Xiaohong; Zhang, Fengqin
7
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.
5
2017
Stability and Hopf bifurcation of a delayed Cohen-Grossberg neural network with diffusion. Zbl 1357.35037
Tian, Xiaohong; Xu, Rui
2
2017
Adaptive exponential synchronization for stochastic competitive neural networks with time-varying leakage delays and reaction-diffusion terms. Zbl 1426.93290
Wang, Zhiqiang; Wang, Lili; Xu, Rui
2
2017
Global dynamics of an SVIR epidemiological model with infection age and nonlinear incidence. Zbl 1398.92260
Wang, Zhiping; Xu, Rui
1
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
1
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
1
2017
Global dynamics of an age-structured in-host viral infection model with humoral immunity. Zbl 1418.92173
Li, Liangchen; Xu, Rui
15
2016
Modelling and analysis of an eco-epidemiological model with time delay and stage structure. Zbl 1334.34179
Wang, Lingshu; Xu, Rui; Feng, Guanghui
9
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
3
2016
Global stability of an SEIR epidemic model with vaccination. Zbl 1347.34121
Wang, Lili; Xu, Rui
3
2016
New synchronization criteria for an array of neural networks with hybrid coupling and time-varying delays. Zbl 1482.34178
Du, Yanke; Xu, Rui
2
2016
Passivity analysis of memristive neural networks with mixed time-varying delays and different state-dependent memductance functions. Zbl 1419.34108
Liu, Jian; Xu, Rui
1
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
14
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
10
2015
Hopf bifurcation analysis of a BAM neural network with multiple time delays and diffusion. Zbl 1410.34208
Tian, Xiaohong; Xu, Rui; Gan, Qintao
7
2015
Global stability of a delayed ratio-dependent predator-prey model with Gompertz growth for prey. Zbl 1334.34182
Zhang, Shihua; Xu, Rui
2
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
2
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
2
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
19
2014
Global dynamics of an SEIRI epidemiological model with time delay. Zbl 1410.37084
Xu, Rui
15
2014
Stability and traveling waves of an epidemic model with relapse and spatial diffusion. Zbl 1325.92086
Wang, Zhiping; Xu, Rui
3
2014
Global stability of a delayed HIV-1 infection model with absorption and CTL immune response. Zbl 1323.92118
Tian, Xiaohong; Xu, Rui
3
2014
Global dynamics of a delayed eco-epidemiological model with Holling type-III functional response. Zbl 1300.34190
Xu, Rui; Tian, Xiaohong
2
2014
Stability analysis of an SEIS epidemic model with nonlinear incidence and time delay. Zbl 1314.34163
Tian, Xiaohong; Xu, Rui
2
2014
Pattern formation in two classes of SIR epidemic models with spatial diffusion. Zbl 1313.92087
Du, Yanke; Xu, Rui
1
2014
Traveling wave solutions for a delayed SIRS infectious disease model with nonlocal diffusion and nonlinear incidence. Zbl 1406.92622
Tian, Xiaohong; Xu, Rui
1
2014
Global dynamics of a delayed epidemic model with latency and relapse. Zbl 1295.93005
Xu, Rui
21
2013
Modelling and analysis of a delayed predator-prey model with disease in the predator. Zbl 1334.92380
Xu, Rui; Zhang, Shihua
17
2013
Travelling waves and global attractivity of an SIRS disease model with spatial diffusion and temporary immunity. Zbl 1334.92438
Zhang, Shihua; Xu, Rui
8
2013
Stability and bifurcation analysis for a neural network model with discrete and distributed delays. Zbl 1275.34102
Du, Yanke; Xu, Rui; Liu, Qiming
7
2013
Mathematical analysis of the global dynamics of an eco-epidemiological model with time delay. Zbl 1293.49101
Xu, Rui
5
2013
Traveling waves of an epidemic model with vaccination. Zbl 1303.35117
Wang, Zhiping; Xu, Rui
3
2013
Multistability and multiperiodicity for a general class of delayed Cohen-Grossberg neural networks with discontinuous activation functions. Zbl 1417.34172
Du, Yanke; Li, Yanlu; Xu, Rui
3
2013
Travelling waves of a diffusive epidemic model with latency and relapse. Zbl 1264.34167
Wang, Zhiping; Xu, Rui
2
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
2
2013
Stability and Hopf bifurcation in an HIV-1 infection model with latently infected cells and delayed immune response. Zbl 1417.92095
Wang, Haibin; Xu, Rui
1
2013
Global stability and Hopf bifurcation of a predator-prey model with stage structure and delayed predator response. Zbl 1242.92063
Xu, Rui
35
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
32
2012
Global stability of a delayed epidemic model with latent period and vaccination strategy. Zbl 1254.34107
Xu, Rui
25
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
22
2012
Global dynamics of an SEIS epidemic model with saturation incidence and latent period. Zbl 1237.92043
Xu, Rui
12
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
12
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
9
2012
Global dynamics of an SEIS epidemiological model with time delay describing a latent period. Zbl 1258.92034
Xu, Rui
9
2012
Traveling wave solutions in a three-species food-chain model with diffusion and delays. Zbl 1303.35115
Du, Yanke; Xu, Rui
7
2012
Global dynamics of a delayed HIV-1 infection model with absorption and saturation infection. Zbl 1280.92066
Xu, Rui
7
2012
Global asymptotic stability of stochastic reaction-diffusion neural networks with time delays in the leakage terms. Zbl 1239.92002
Li, Zhe; Xu, Rui
6
2012
Periodic solutions of a Cohen-Grossberg-type BAM neural networks with distributed delays and impulses. Zbl 1244.93122
Liu, Qiming; Xu, Rui
5
2012
Mathematical analysis of an improved hepatitis B virus model. Zbl 1297.92086
Wang, Lili; Xu, Rui
4
2012
Traveling waves in a reaction-diffusion predator-prey system with nonlocal delays. Zbl 1291.35020
Li, Zhe; Xu, Rui
2
2012
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Cited by 2,046 Authors

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51 Teng, Zhi-dong
42 Chen, Fengde
31 Elaiw, Ahmed M.
23 Xu, Changjin
22 Huo, Hai-Feng
22 Ma, Wanbiao
21 Cao, Jinde
20 Jiang, Daqing
18 Hattaf, Khalid
18 Tian, Xiaohong
18 Zhang, Long
17 Wang, Jinliang
16 Gan, Qintao
16 Muroya, Yoshiaki
16 Yang, Yu
15 Li, Zhong
14 Yousfi, Noura
14 Zhao, Hongyong
13 Chen, Lansun
13 Enatsu, Yoichi
13 Liu, Qun
13 Yang, Junyuan
12 Hayat, Tasawar
12 Zhong, Shou-Ming
12 Zhu, Linhe
11 Chaplain, Mark A. J.
11 Dai, Binxiang
11 Li, Yongkun
11 Liu, Shengqiang
11 Liu, Zhijun
11 Miao, Hui
10 Davidson, Fordyce A.
10 El Fatini, Mohamed
10 Huang, Lihong
10 Jiang, Haijun
10 Kumar, Abhishek
10 Kuniya, Toshikazu
10 Li, Wan-Tong
10 Nilam, Murray E. Alexander
10 Wang, Wei
10 Xie, Xiangdong
10 Zhang, Ran
10 Zhang, Tonghua
10 Zhang, Xuebing
10 Zhang, Zizhen
9 Al-saedi, Ahmed Eid Salem
9 Alshamrani, Noura H.
9 Chattopadhyay, Joydev
9 Djilali, Salih
9 Feng, Guanghui
9 Kar, Tapan Kumar
9 Liao, Maoxin
9 Song, Xinyu
9 Wang, Lingshu
9 Xia, Yonghui
8 Chen, Yuming
8 Dhar, Joydip
8 Feng, Zhaosheng
8 Lin, Jiazhe
8 Nakata, Yukihiko
8 Samanta, Sudip
8 Shao, Yuanfu
8 Wang, Weiming
7 Bairagi, Nandadulal
7 Bernoussi, Amine
7 Cai, Liming
7 Dubey, Balram
7 Gao, Shujing
7 Huang, Chuangxia
7 Huang, Gang
7 Li, Hongli
7 Li, Peiluan
7 Li, Xuezhi
7 Muhammadhaji, Ahmadjan
7 Song, Chenwei
7 Wang, Ke
7 Weng, Peixuan
7 Wu, Peng
7 Xiang, Hong
7 Xu, Zhiting
7 Zhang, Qingling
7 Zhang, Tongqian
7 Zhou, Jinling
6 Adak, Debadatta
6 Bai, Ning
6 Balasubramaniam, Pagavathigounder
6 Chakraborty, Kunal
6 Cui, Jingan
6 Du, Zengji
6 Guo, Songbai
6 Hu, Cheng
6 Huang, Chengdai
6 Jiao, Jianjun
6 Jin, Zhen
6 Kumar Upadhyay, Ranjit
6 Lahrouz, Aadil
6 Li, Wenxue
6 Lin, Zhigui
6 Liu, Chao
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Cited in 162 Serials

141 Applied Mathematics and Computation
86 Advances in Difference Equations
78 International Journal of Biomathematics
68 Nonlinear Analysis. Real World Applications
61 Chaos, Solitons and Fractals
55 Discrete Dynamics in Nature and Society
48 Abstract and Applied Analysis
43 Mathematical Methods in the Applied Sciences
42 Mathematical Biosciences and Engineering
41 Nonlinear Dynamics
39 Journal of Applied Mathematics and Computing
36 Communications in Nonlinear Science and Numerical Simulation
34 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
33 Journal of Mathematical Analysis and Applications
31 Applied Mathematical Modelling
31 Discrete and Continuous Dynamical Systems. Series B
28 Mathematics and Computers in Simulation
25 Computers & Mathematics with Applications
23 Physica A
22 Journal of Computational and Applied Mathematics
20 Journal of the Franklin Institute
19 Journal of Biological Dynamics
17 Journal of Applied Mathematics
16 Nonlinear Analysis. Modelling and Control
14 Applied Mathematics Letters
14 Neural Networks
13 Journal of Biological Systems
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
11 Computational and Applied Mathematics
11 Mathematical Problems in Engineering
11 Differential Equations and Dynamical Systems
11 Communications on Pure and Applied Analysis
11 Boundary Value Problems
11 Journal of Applied Analysis and Computation
10 Complexity
10 International Journal of Applied and Computational Mathematics
9 Mathematical and Computer Modelling
9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Journal of Mathematical Biology
8 International Journal of Computer Mathematics
8 Qualitative Theory of Dynamical Systems
8 Computational & Mathematical Methods in Medicine
7 Applicable Analysis
7 Journal of Differential Equations
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 International Journal of Differential Equations
6 Mathematical Biosciences
6 International Journal of Mathematics and Mathematical Sciences
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6 Journal of Inequalities and Applications
6 Chaos
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5 Journal of Mathematical Physics
5 Acta Applicandae Mathematicae
5 Japan Journal of Industrial and Applied Mathematics
5 Journal of Dynamics and Differential Equations
5 International Journal of Nonlinear Sciences and Numerical Simulation
5 Dynamical Systems
5 Afrika Matematika
5 Discontinuity, Nonlinearity, and Complexity
4 Rocky Mountain Journal of Mathematics
4 Bulletin of Mathematical Biology
4 Ricerche di Matematica
4 Journal of Nonlinear Science
4 Fractals
4 Filomat
4 Acta Mathematica Scientia. Series B. (English Edition)
4 Nonlinear Analysis. Hybrid Systems
4 Journal of Mathematics
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3 Information Sciences
3 Proceedings of the American Mathematical Society
3 Stochastic Analysis and Applications
3 Acta Mathematicae Applicatae Sinica. English Series
3 Discrete and Continuous Dynamical Systems. Series S
3 Asian-European Journal of Mathematics
3 Journal of Theoretical Biology
3 Journal of Applied Nonlinear Dynamics
3 Journal of Function Spaces
3 Open Mathematics
3 AIMS Mathematics
3 Mathematics in Applied Sciences and Engineering
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Studies in Applied Mathematics
2 Tamkang Journal of Mathematics
2 Circuits, Systems, and Signal Processing
2 European Journal of Applied Mathematics
2 The Journal of Analysis
2 Applied Mathematics. Series B (English Edition)
2 Random Operators and Stochastic Equations
2 European Journal of Control
2 Taiwanese Journal of Mathematics
2 Mathematical and Computer Modelling of Dynamical Systems
2 Applied Sciences
2 Journal of Systems Science and Complexity
2 Acta Mathematica Scientia. Series A. (Chinese Edition)
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