## Ma, Wanbiao

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 Author ID: ma.wanbiao Published as: Ma, Wanbiao; Ma, W.; Ma, Wan Biao; Ma, W. B. more...less
 Documents Indexed: 148 Publications since 1986 Co-Authors: 75 Co-Authors with 132 Joint Publications 3,363 Co-Co-Authors
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### Co-Authors

 10 single-authored 25 Takeuchi, Yasuhiro 17 Hu, Zhixing 14 Wang, Wei 10 Guo, Songbai 10 Liao, Fucheng 9 Guo, Ke 9 Jiang, Zhichao 7 Hara, Tadayuki 7 Song, Keying 6 Beretta, Edoardo 6 Li, Dan 6 Si, Ligeng 6 Wang, Hui 5 Dong, Qinglai 5 Feng, Zhaosheng 5 Saito, Yasuhisa 5 Sampath Aruna Pradeep, B. G. 4 Huang, Gang 4 Lai, Xiulan 4 Meng, Xinzhu 4 Zhang, Tongqian 3 Qiang, Rong 3 Ruan, Shigui 3 Song, Mei 2 Amemiya, Takashi 2 Cheng, Wenbo 2 Fu, Guifang 2 Han, Xu 2 Ji, Yahui 2 Li, Fuxiang 2 Liu, Gui-Rong 2 Liu, Xiangdong 2 Pang, Weijuan 2 Shi, Hongjing 2 Yamaguchi, Masahiro 2 Yan, Hai 2 Zhang, Shangguo 2 Zhang, Tonghua 1 Adachi, Norihiko 1 Bai, Peifan 1 Bi, Ping 1 Chen, Jiawen 1 Chen, Ling 1 Cheng, Xiaowei 1 Dekker, Rommert 1 Dong, Yueping 1 Du, Hongwu 1 Duan, Zhisheng 1 Eruguz, Ayse Sena 1 Fu, Yu 1 Gao, Guangke 1 Hong, Yanjie 1 Huang, Xiaofan 1 Jin, Chaochao 1 Kuang, Yang 1 Li, Ruxue 1 Liu, Rong 1 Liu, Yajuan 1 Ren, Xinzhi 1 Sampath, A. P. B. G. 1 Shao, Weiru 1 Sun, Mingjuan 1 Tang, Siming 1 Topan, Engin 1 van der Heijden, Matthieu C. 1 Wang, Rong 1 Wang, Tianlei 1 Wang, Xiaoping 1 Wang, Xiunan 1 Wei, Daijun 1 Wei, Junjie 1 Wu, Lihua 1 Xiao, Liming 1 Xie, Leifang 1 Yang, Weitao 1 Yu, Yang 1 Zhang, Jiajia 1 Zhang, Qian 1 Zhang, Yan 1 Zhao, Xiao-Qiang 1 Zhou, Shengyu
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### Serials

 9 Applied Mathematics Letters 8 Discrete and Continuous Dynamical Systems. Series B 6 Mathematical Biosciences and Engineering 5 Journal of Mathematical Analysis and Applications 5 Journal of Computational and Applied Mathematics 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Nonlinear Analysis. Real World Applications 4 Chaos, Solitons and Fractals 4 RIMS Kokyuroku 4 Computational & Mathematical Methods in Medicine 3 Mathematical Methods in the Applied Sciences 3 Applied Mathematics and Computation 3 Journal of Systems Science and Mathematical Sciences 3 Applied Mathematical Modelling 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 International Journal of Information & Systems Sciences 3 International Journal of Biomathematics 2 Electronics Letters 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica Sinica 2 Mathematics and Computers in Simulation 2 Acta Mathematicae Applicatae Sinica 2 Chinese Annals of Mathematics. Series A 2 Journal of Xinjiang University. Natural Science 2 Journal of Hebei Normal University. Natural Science Edition 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of Mathematical Chemistry 2 Dynamics of Continuous, Discrete and Impulsive Systems 2 Communications in Nonlinear Science and Numerical Simulation 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Journal of Applied Mathematics 2 Communications on Pure and Applied Analysis 2 Advances in Difference Equations 2 Chinese Journal of Engineering Mathematics 2 Journal of Applied Analysis and Computation 2 Nonlinear Analysis. Theory, Methods & Applications 1 Acta Mechanica 1 Computer Methods in Applied Mechanics and Engineering 1 Mathematical Biosciences 1 Nonlinearity 1 Bulletin of Mathematical Biology 1 Canadian Mathematical Bulletin 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Optimization Theory and Applications 1 Tôhoku Mathematical Journal. Second Series 1 Journal of Mathematics. Wuhan University 1 International Journal of Production Research 1 Northeastern Mathematical Journal 1 Annals of Differential Equations 1 Journal of Biomathematics 1 CAD. Computer-Aided Design 1 Japan Journal of Industrial and Applied Mathematics 1 European Journal of Operational Research 1 SIAM Journal on Applied Mathematics 1 Kexue Tongbao 1 Acta Mathematica Scientia 1 Journal of Dynamics and Differential Equations 1 The Canadian Applied Mathematics Quarterly 1 Applied Mathematics. Series A (Chinese Edition) 1 Nonlinear World 1 Filomat 1 Journal of Sichuan Normal University. Natural Science 1 Journal of Biological Systems 1 Nonlinear Analysis. Modelling and Control 1 Journal of Natural Science of Hunan Normal University 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Journal of Xinyang Normal University. Natural Science Edition 1 International Journal of Systems Science. Principles and Applications of Systems and Integration
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### Fields

 114 Biology and other natural sciences (92-XX) 106 Ordinary differential equations (34-XX) 11 Partial differential equations (35-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Systems theory; control (93-XX) 5 Difference and functional equations (39-XX) 5 Numerical analysis (65-XX) 4 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Special functions (33-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

95 Publications have been cited 1,464 times in 937 Documents Cited by Year
Lyapunov functionals for delay differential equations model of viral infections. Zbl 1209.92035
Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao
2010
Global asymptotic stability of an $$SIR$$ epidemic model with distributed time delay. Zbl 1042.34585
Beretta, Edoardo; Hara, Tadayuki; Ma, Wanbiao; Takeuchi, Yasuhiro
2001
Global asymptotic properties of a delay SIR epidemic model with finite incubation times. Zbl 0967.34070
Takeuchi, Yasuhiro; Ma, Wanbiao; Beretta, Edoardo
2000
Global properties for virus dynamics model with Beddington-DeAngelis functional response. Zbl 1178.37125
Huang, Gang; Ma, Wanbiao; Takeuchi, Yasuhiro
2009
Asymptotic properties of a HIV-1 infection model with time delay. Zbl 1130.34052
Li, Dan; Ma, Wanbiao
2007
Global stability of an SIR epidemic model with time delay. Zbl 1071.34082
Ma, Wanbiao; Song, Mei; Takeuchi, Y.
2004
Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate. Zbl 1197.92040
Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao; Wei, Daijun
2010
Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response. Zbl 1217.34128
Huang, Gang; Ma, Wanbiao; Takeuchi, Yasuhiro
2011
Permanence of an SIR epidemic model with distributed time delays. Zbl 1014.92033
Ma, Wanbiao; Takeuchi, Yasuhiro; Hara, Tadayuki; Beretta, Edoardo
2002
A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays. Zbl 0976.92031
Saito, Yasuhisa; Ma, Wanbiao; Hara, Tadayuki
2001
Analysis of SIR epidemic models with nonlinear incidence rate and treatment. Zbl 1250.92031
Hu, Zhixing; Ma, Wanbiao; Ruan, Shigui
2012
Global dynamics of a delayed chemostat model with harvest by impulsive flocculant input. Zbl 1422.92139
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
2017
Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Zbl 1207.92040
Hu, Zhixing; Bi, Ping; Ma, Wanbiao; Ruan, Shigui
2011
Periodic solution of a prey-predator model with nonlinear state feedback control. Zbl 1410.34243
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu; Zhang, Tonghua
2015
Necessary and sufficient conditions for permanence and global stability of a Lotka-Volterra system with two delays. Zbl 0944.34059
Saito, Yasuhisa; Hara, Tadayuki; Ma, Wanbiao
1999
Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis. Zbl 1352.92094
Wang, Wei; Ma, Wanbiao; Lai, Xiulan
2017
Stability analysis on a predator-prey system with distributed delays. Zbl 0897.34062
Ma, Wanbiao; Takeuchi, Yasuhiro
1998
Dynamics analysis of a delayed viral infection model with logistic growth and immune impairment. Zbl 1427.92087
Hu, Zhixing; Zhang, Jiajia; Wang, Hui; Ma, Wanbiao; Liao, Fucheng
2014
Global stability of an HIV pathogenesis model with cure rate. Zbl 1231.34094
Liu, Xiangdong; Wang, Hui; Hu, Zhixing; Ma, Wanbiao
2011
Permanence of a delayed SIR epidemic model with density dependent birth rate. Zbl 1117.34310
Song, Mei; Ma, Wanbiao; Takeuchi, Yasuhiro
2007
Harmless delays for permanence and impersistence of a Lotka-Volterra discrete predator-prey system. Zbl 1005.39013
Saito, Yasuhisa; Hara, Tadayuki; Ma, Wanbiao
2002
Analysis of the dynamics of a delayed HIV pathogenesis model. Zbl 1185.92062
Hu, Zhixing; Liu, Xiangdong; Wang, Hui; Ma, Wanbiao
2010
The asymptotic behavior of a chemostat model with crowley-martin type functional response and time delays. Zbl 1320.92071
Dong, Qinglai; Ma, Wanbiao; Sun, Mingjuan
2013
Global behavior of delay differential equations model of HIV infection with apoptosis. Zbl 1362.37163
Guo, Songbai; Ma, Wanbiao
2016
Travelling wave solutions for a nonlocal dispersal HIV infection dynamical model. Zbl 1370.93057
Wang, Wei; Ma, Wanbiao
2018
Dynamical properties of a stage structured three-species model with intra-guild predation. Zbl 1105.92049
Yamaguchi, Masahiro; Takeuchi, Yasuhiro; Ma, Wanbiao
2007
Global dynamics of a time-delayed microorganism flocculation model with saturated functional responses. Zbl 1403.37094
Guo, Songbai; Ma, Wanbiao; Zhao, Xiao-Qiang
2018
Delay-independent stabilization of uncertain linear systems of neutral type. Zbl 0822.93057
Ma, W. B.; Adachi, N.; Amemiya, T.
1995
Complex dynamics of a time periodic nonlocal and time-delayed model of reaction-diffusion equations for modeling $$\mathrm{CD}4^+$$ T cells decline. Zbl 1426.92020
Wang, Wei; Ma, Wanbiao; Feng, Zhaosheng
2020
Dynamics of reaction-diffusion equations for modeling CD$$4^+$$ T cells decline with general infection mechanism and distinct dispersal rates. Zbl 1429.35185
Wang, Wei; Ma, Wanbiao; Feng, Zhaosheng
2020
Dynamical behavior of a delay differential equation system on toxin producing phytoplankton and zooplankton interaction. Zbl 1322.92082
Jiang, Zhichao; Ma, Wanbiao; Li, Dan
2014
Global dynamics of a microorganism flocculation model with time delay. Zbl 1365.92060
Guo, Songbai; Ma, Wanbiao
2017
Qualitative analysis of a chemostat model with inhibitory exponential substrate uptake. Zbl 1062.92069
Fu, Guifang; Ma, Wanbiao; Ruan, Shigui
2005
An inverse procedure for determination of material constants of composite laminates using elastic waves. Zbl 1061.74030
Liu, G. R.; Ma, W. B.; Han, X.
2002
A diffusive HIV infection model with nonlocal delayed transmission. Zbl 1376.92071
Wang, Wei; Ma, Wanbiao
2018
A class of dynamic models describing microbial flocculant with nutrient competition and metabolic products in wastewater treatment. Zbl 1445.92167
Song, Keying; Ma, Wanbiao; Guo, Songbai; Yan, Hai
2018
Analysis of a CD4$$^+$$ T cell viral infection model with a class of saturated infection rate. Zbl 1281.92040
Hu, Zhixing; Pang, Weijuan; Liao, Fucheng; Ma, Wanbiao
2014
Hopf bifurcations of a variable yield chemostat model with inhibitory exponential substrate uptake. Zbl 1142.34334
Fu, Guifang; Ma, Wanbiao
2006
Stability analysis of a computer virus model in latent period. Zbl 1352.68019
Hu, Zhixing; Wang, Hongwei; Liao, Fucheng; Ma, Wanbiao
2015
Dynamics analysis of an HTLV-1 infection model with mitotic division of actively infected cells and delayed CTL immune response. Zbl 1394.34174
Li, Fuxiang; Ma, Wanbiao
2018
Asymptotic properties of a revised SIR epidemic model with density dependent birth rate and time delay. Zbl 1102.34061
Song, Mei; Ma, Wanbiao
2006
Hepatitis C virus infection is blocked by HMGB1: a new nonlocal and time-delayed reaction-diffusion model. Zbl 1426.92015
Wang, Wei; Ma, Wanbiao
2018
Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity. Zbl 07310375
Wang, Tianlei; Hu, Zhixing; Liao, Fucheng; Ma, Wanbiao
2013
Global dynamics and travelling wave solutions for a class of non-cooperative reaction-diffusion systems with nonlocal infections. Zbl 1406.35441
Wang, Wei; Ma, Wanbiao
2018
Dynamics for phytoplankton-zooplankton system with time delays. Zbl 1390.92110
Jiang, Zhichao; Ma, Wanbiao; Takeuchi, Yasuhiro
2017
Impulsive control of a continuous-culture and flocculation harvest chemostat model. Zbl 1386.93040
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
2017
Dynamical analysis of a continuous-culture and harvest chemostat model with impulsive effect. Zbl 1343.92302
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
2015
Delayed feedback control and bifurcation analysis in a chaotic chemostat system. Zbl 1317.34167
Jiang, Zhichao; Ma, Wanbiao
2015
A class of virus dynamic model with inhibitory effect on the growth of uninfected T cells caused by infected T cells and its stability analysis. Zbl 1335.34128
Cheng, Wenbo; Ma, Wanbiao; Guo, Songbai
2016
Differential-difference inequalities with unbounded delays and their applications. Zbl 0755.34073
Si, Ligeng; Ma, Wanbiao
1991
$$M$$-matrix structure and harmless delays in a Hopfield-type neural network. Zbl 1179.34081
Ma, Wanbiao; Saito, Yasuhisa; Takeuchi, Yasuhiro
2009
Qualitative analysis of the chemostat model with variable yield and a time delay. Zbl 1320.92070
Dong, Qinglai; Ma, Wanbiao
2013
A review of operational spare parts service logistics in service control towers. Zbl 1430.90143
Topan, E.; Eruguz, A. S.; Ma, W.; van der Heijden, M. C.; Dekker, R.
2020
Inversion of loading time history using displacement response of composite laminates: three-dimensional cases. Zbl 1205.74027
Liu, G. R.; Ma, W. B.; Han, X.
2002
Stability analysis on a delayed $$SIR$$ epidemic model with density dependent birth process. Zbl 0937.92026
Takeuchi, Y.; Ma, W.
1999
Nontrivial periodic solution of a stochastic non-autonomous model with biodegradation of microcystins. Zbl 1411.92128
Song, Keying; Zhang, Tonghua; Ma, Wanbiao
2019
Improved delay-dependent exponential stability criteria for neutral-delay systems with nonlinear uncertainties. Zbl 1443.34078
Liu, Yajuan; Ma, Wanbiao; Mahmoud, Magdi S.; Lee, S. M.
2015
Global analysis of a diffusive viral model with cell-to-cell infection and incubation period. Zbl 1455.92143
Wang, Wei; Wang, Xiunan; Guo, Ke; Ma, Wanbiao
2020
Permanence of a delayed SIR epidemic model with general nonlinear incidence rate. Zbl 1307.34114
Jiang, Zhichao; Ma, Wanbiao
2015
Global stability of a delayed mosquito-transmitted disease model with stage structure. Zbl 1325.92080
Pradeep, B. G. Sampath Aruna; Ma, Wanbiao
2015
Necessary and sufficient conditions for global attractivity of Hopfield-type neural networks with time delays. Zbl 1191.34094
Zhang, Shangguo; Ma, Wanbiao; Kuang, Yang
2008
Asymptotic properties of a delayed SIR epidemic model with density dependent birth rate. Zbl 1101.92043
Ma, Wanbiao; Takeuchi, Yasuhiro
2004
On global stability of the equilibria of an ordinary differential equation model of Kawasaki disease pathogenesis. Zbl 1436.34046
Guo, Ke; Ma, Wanbiao; Qiang, Rong
2020
Global dynamics of a reaction and diffusion model for an HTLV-I infection with mitotic division of actively infected cells. Zbl 07309568
Wang, Wei; Ma, Wanbiao
2017
Global Hopf bifurcation and permanence of a delayed SEIRS epidemic model. Zbl 07313624
Jiang, Zhichao; Ma, Wanbiao; Wei, Junjie
2016
Stability and Hopf bifurcation in a delayed HIV infection model with general incidence rate and immune impairment. Zbl 1343.92492
Li, Fuxiang; Ma, Wanbiao; Jiang, Zhichao; Li, Dan
2015
Global properties for a class of latent HIV infection dynamics model with CTL immune response. Zbl 1318.92047
Dong, Yueping; Ma, Wanbiao
2012
Chemotaxis effect on algae by inorganic polymer flocculants: backward bifurcations and traveling wave solutions. Zbl 1405.35232
Wang, Wei; Ma, Wanbiao; Feng, Zhaosheng
2018
Stability of neutral differential difference systems with infinite delays. Zbl 0939.34068
Ma, Wanbiao; Takeuchi, Yasuhiro
1998
A nonlinear delay model describing the growth of tumor cells under immune surveillance against cancer and its stability analysis. Zbl 1280.92013
Chen, Ling; Ma, Wanbiao
2012
An improved model of T cell development in the thymus and its stability analysis. Zbl 1089.92026
Shi, Hongjing; Ma, Wanbiao
2006
Stability for nonlinear differential systems with infinite delay. Zbl 0833.34074
Si, Ligeng; Ma, Wanbiao
1995
Global attractivity of mixed Lotka-Volterra differential systems with delays. Zbl 0926.34060
Takeuchi, Y.; Ma, W.
1998
Dynamics of a three-species ratio-dependent diffusive model. Zbl 1208.34070
Hu, Zhixing; Gao, Guangke; Ma, Wanbiao
2010
Bifurcation analysis of modeling biodegradation of microcystins. Zbl 1416.34070
Song, Keying; Ma, Wanbiao; Jiang, Zhichao
2019
Modeling inhibitory effect on the growth of uninfected T cells caused by infected T cells: stability and Hopf bifurcation. Zbl 1431.92136
Ji, Yahui; Ma, Wanbiao; Song, Keying
2018
Global behavior of a dynamic model with biodegradation of microcystins. Zbl 1461.92131
Song, Keying; Ma, Wanbiao; Guo, Ke
2019
Complete characterizations of the gamma function. Zbl 1335.33001
Guo, Songbai; Ma, Wanbiao; Pradeep, B. G. Sampath Aruna
2014
Block effect on HCV infection by HMGB1 released from virus-infected cells: an insight from mathematical modeling. Zbl 07263360
Wang, Wei; Ma, Wanbiao
2018
The stability of large scale dynamical systems with delays by using vector $$V$$ functions. Zbl 0850.93716
Ma, Wanbiao
1989
The algebraic criteria for stability of linear autonomous differential systems of neutral-type. Zbl 0687.34066
Si, Ligeng; Ma, Wanbiao
1988
A dynamic model describing heterotrophic culture of Chlorella and its stability analysis. Zbl 1259.34073
Zhang, Yan; Ma, Wanbiao; Yan, Hai; Takeuchi, Yasuhiro
2011
Dynamics analysis of an HIV infection model including infected cells in an eclipse stage. Zbl 1266.92060
Zhou, Shengyu; Hu, Zhixing; Ma, Wanbiao; Liao, Fucheng
2013
Stability analysis of a ratio-dependent Chemostat model with variable yield and time delay. Zbl 1199.34434
Dong, Qinglai; Ma, Wanbiao
2009
An epidemic model for tick-borne disease with two delays. Zbl 1397.92645
Li, Dan; Ma, Wanbiao; Jiang, Zhichao
2013
A novel dynamic model describing the spread of the MERS-CoV and the expression of dipeptidyl peptidase 4. Zbl 1397.92681
Tang, Siming; Ma, Wanbiao; Bai, Peifan
2017
Estimation of the attractive region of a class of delayed virus dynamics model with apoptosis of uninfected T cells by infected Tcells. Zbl 1363.34280
Cheng, Wenbo; Ma, Wanbiao; Guo, Songbai
2016
Global asymptotic stability of nonlinear delayed systems of neutral type. Zbl 1034.34090
Amemiya, Takashi; Ma, Wanbiao
2003
Global asymptotic stability of a nonlinear time-delayed system of $$T$$ cells in the thymus. Zbl 1175.34104
Shi, Hongjing; Ma, Wanbiao; Duan, Zhisheng
2009
The analysis of two epidemic models with constant immigration and quarantine. Zbl 1194.34110
Hu, Zhixing; Yu, Yang; Ma, Wanbiao
2008
Qualitative analysis of a chemostat model with inhibitory exponential substrate uptake and a time delay. Zbl 1329.92082
Dong, Qinglai; Ma, Wanbiao
2014
Stability of a mathematical model of tumour-induced angiogenesis. Zbl 1416.92027
Li, Dan; Ma, Wanbiao; Guo, Songbai
2016
Mathematical analysis of the effect of cuckoo bird’s incubation period in population dynamics. Zbl 1443.92031
Sampath Aruna Pradeep, B. G.; Ma, Wanbiao; Jiang, Zhichao
2016
A diffusive virus infection dynamic model with nonlinear functional response, absorption effect and chemotaxis. Zbl 1473.92041
Wang, Wei; Ma, Wanbiao; Lai, Xiulan
2017
New insights into pharmacologic inhibition of pyroptotic cell death by necrosulfonamide: a PDE model. Zbl 1453.92084
Wang, Wei; Ren, Xinzhi; Ma, Wanbiao; Lai, Xiulan
2020
Complex dynamics of a time periodic nonlocal and time-delayed model of reaction-diffusion equations for modeling $$\mathrm{CD}4^+$$ T cells decline. Zbl 1426.92020
Wang, Wei; Ma, Wanbiao; Feng, Zhaosheng
2020
Dynamics of reaction-diffusion equations for modeling CD$$4^+$$ T cells decline with general infection mechanism and distinct dispersal rates. Zbl 1429.35185
Wang, Wei; Ma, Wanbiao; Feng, Zhaosheng
2020
A review of operational spare parts service logistics in service control towers. Zbl 1430.90143
Topan, E.; Eruguz, A. S.; Ma, W.; van der Heijden, M. C.; Dekker, R.
2020
Global analysis of a diffusive viral model with cell-to-cell infection and incubation period. Zbl 1455.92143
Wang, Wei; Wang, Xiunan; Guo, Ke; Ma, Wanbiao
2020
On global stability of the equilibria of an ordinary differential equation model of Kawasaki disease pathogenesis. Zbl 1436.34046
Guo, Ke; Ma, Wanbiao; Qiang, Rong
2020
New insights into pharmacologic inhibition of pyroptotic cell death by necrosulfonamide: a PDE model. Zbl 1453.92084
Wang, Wei; Ren, Xinzhi; Ma, Wanbiao; Lai, Xiulan
2020
Nontrivial periodic solution of a stochastic non-autonomous model with biodegradation of microcystins. Zbl 1411.92128
Song, Keying; Zhang, Tonghua; Ma, Wanbiao
2019
Bifurcation analysis of modeling biodegradation of microcystins. Zbl 1416.34070
Song, Keying; Ma, Wanbiao; Jiang, Zhichao
2019
Global behavior of a dynamic model with biodegradation of microcystins. Zbl 1461.92131
Song, Keying; Ma, Wanbiao; Guo, Ke
2019
Travelling wave solutions for a nonlocal dispersal HIV infection dynamical model. Zbl 1370.93057
Wang, Wei; Ma, Wanbiao
2018
Global dynamics of a time-delayed microorganism flocculation model with saturated functional responses. Zbl 1403.37094
Guo, Songbai; Ma, Wanbiao; Zhao, Xiao-Qiang
2018
A diffusive HIV infection model with nonlocal delayed transmission. Zbl 1376.92071
Wang, Wei; Ma, Wanbiao
2018
A class of dynamic models describing microbial flocculant with nutrient competition and metabolic products in wastewater treatment. Zbl 1445.92167
Song, Keying; Ma, Wanbiao; Guo, Songbai; Yan, Hai
2018
Dynamics analysis of an HTLV-1 infection model with mitotic division of actively infected cells and delayed CTL immune response. Zbl 1394.34174
Li, Fuxiang; Ma, Wanbiao
2018
Hepatitis C virus infection is blocked by HMGB1: a new nonlocal and time-delayed reaction-diffusion model. Zbl 1426.92015
Wang, Wei; Ma, Wanbiao
2018
Global dynamics and travelling wave solutions for a class of non-cooperative reaction-diffusion systems with nonlocal infections. Zbl 1406.35441
Wang, Wei; Ma, Wanbiao
2018
Chemotaxis effect on algae by inorganic polymer flocculants: backward bifurcations and traveling wave solutions. Zbl 1405.35232
Wang, Wei; Ma, Wanbiao; Feng, Zhaosheng
2018
Modeling inhibitory effect on the growth of uninfected T cells caused by infected T cells: stability and Hopf bifurcation. Zbl 1431.92136
Ji, Yahui; Ma, Wanbiao; Song, Keying
2018
Block effect on HCV infection by HMGB1 released from virus-infected cells: an insight from mathematical modeling. Zbl 07263360
Wang, Wei; Ma, Wanbiao
2018
Global dynamics of a delayed chemostat model with harvest by impulsive flocculant input. Zbl 1422.92139
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
2017
Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis. Zbl 1352.92094
Wang, Wei; Ma, Wanbiao; Lai, Xiulan
2017
Global dynamics of a microorganism flocculation model with time delay. Zbl 1365.92060
Guo, Songbai; Ma, Wanbiao
2017
Dynamics for phytoplankton-zooplankton system with time delays. Zbl 1390.92110
Jiang, Zhichao; Ma, Wanbiao; Takeuchi, Yasuhiro
2017
Impulsive control of a continuous-culture and flocculation harvest chemostat model. Zbl 1386.93040
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
2017
Global dynamics of a reaction and diffusion model for an HTLV-I infection with mitotic division of actively infected cells. Zbl 07309568
Wang, Wei; Ma, Wanbiao
2017
A novel dynamic model describing the spread of the MERS-CoV and the expression of dipeptidyl peptidase 4. Zbl 1397.92681
Tang, Siming; Ma, Wanbiao; Bai, Peifan
2017
A diffusive virus infection dynamic model with nonlinear functional response, absorption effect and chemotaxis. Zbl 1473.92041
Wang, Wei; Ma, Wanbiao; Lai, Xiulan
2017
Global behavior of delay differential equations model of HIV infection with apoptosis. Zbl 1362.37163
Guo, Songbai; Ma, Wanbiao
2016
A class of virus dynamic model with inhibitory effect on the growth of uninfected T cells caused by infected T cells and its stability analysis. Zbl 1335.34128
Cheng, Wenbo; Ma, Wanbiao; Guo, Songbai
2016
Global Hopf bifurcation and permanence of a delayed SEIRS epidemic model. Zbl 07313624
Jiang, Zhichao; Ma, Wanbiao; Wei, Junjie
2016
Estimation of the attractive region of a class of delayed virus dynamics model with apoptosis of uninfected T cells by infected Tcells. Zbl 1363.34280
Cheng, Wenbo; Ma, Wanbiao; Guo, Songbai
2016
Stability of a mathematical model of tumour-induced angiogenesis. Zbl 1416.92027
Li, Dan; Ma, Wanbiao; Guo, Songbai
2016
Mathematical analysis of the effect of cuckoo bird’s incubation period in population dynamics. Zbl 1443.92031
Sampath Aruna Pradeep, B. G.; Ma, Wanbiao; Jiang, Zhichao
2016
Periodic solution of a prey-predator model with nonlinear state feedback control. Zbl 1410.34243
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu; Zhang, Tonghua
2015
Stability analysis of a computer virus model in latent period. Zbl 1352.68019
Hu, Zhixing; Wang, Hongwei; Liao, Fucheng; Ma, Wanbiao
2015
Dynamical analysis of a continuous-culture and harvest chemostat model with impulsive effect. Zbl 1343.92302
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
2015
Delayed feedback control and bifurcation analysis in a chaotic chemostat system. Zbl 1317.34167
Jiang, Zhichao; Ma, Wanbiao
2015
Improved delay-dependent exponential stability criteria for neutral-delay systems with nonlinear uncertainties. Zbl 1443.34078
Liu, Yajuan; Ma, Wanbiao; Mahmoud, Magdi S.; Lee, S. M.
2015
Permanence of a delayed SIR epidemic model with general nonlinear incidence rate. Zbl 1307.34114
Jiang, Zhichao; Ma, Wanbiao
2015
Global stability of a delayed mosquito-transmitted disease model with stage structure. Zbl 1325.92080
Pradeep, B. G. Sampath Aruna; Ma, Wanbiao
2015
Stability and Hopf bifurcation in a delayed HIV infection model with general incidence rate and immune impairment. Zbl 1343.92492
Li, Fuxiang; Ma, Wanbiao; Jiang, Zhichao; Li, Dan
2015
Dynamics analysis of a delayed viral infection model with logistic growth and immune impairment. Zbl 1427.92087
Hu, Zhixing; Zhang, Jiajia; Wang, Hui; Ma, Wanbiao; Liao, Fucheng
2014
Dynamical behavior of a delay differential equation system on toxin producing phytoplankton and zooplankton interaction. Zbl 1322.92082
Jiang, Zhichao; Ma, Wanbiao; Li, Dan
2014
Analysis of a CD4$$^+$$ T cell viral infection model with a class of saturated infection rate. Zbl 1281.92040
Hu, Zhixing; Pang, Weijuan; Liao, Fucheng; Ma, Wanbiao
2014
Complete characterizations of the gamma function. Zbl 1335.33001
Guo, Songbai; Ma, Wanbiao; Pradeep, B. G. Sampath Aruna
2014
Qualitative analysis of a chemostat model with inhibitory exponential substrate uptake and a time delay. Zbl 1329.92082
Dong, Qinglai; Ma, Wanbiao
2014
The asymptotic behavior of a chemostat model with crowley-martin type functional response and time delays. Zbl 1320.92071
Dong, Qinglai; Ma, Wanbiao; Sun, Mingjuan
2013
Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity. Zbl 07310375
Wang, Tianlei; Hu, Zhixing; Liao, Fucheng; Ma, Wanbiao
2013
Qualitative analysis of the chemostat model with variable yield and a time delay. Zbl 1320.92070
Dong, Qinglai; Ma, Wanbiao
2013
Dynamics analysis of an HIV infection model including infected cells in an eclipse stage. Zbl 1266.92060
Zhou, Shengyu; Hu, Zhixing; Ma, Wanbiao; Liao, Fucheng
2013
An epidemic model for tick-borne disease with two delays. Zbl 1397.92645
Li, Dan; Ma, Wanbiao; Jiang, Zhichao
2013
Analysis of SIR epidemic models with nonlinear incidence rate and treatment. Zbl 1250.92031
Hu, Zhixing; Ma, Wanbiao; Ruan, Shigui
2012
Global properties for a class of latent HIV infection dynamics model with CTL immune response. Zbl 1318.92047
Dong, Yueping; Ma, Wanbiao
2012
A nonlinear delay model describing the growth of tumor cells under immune surveillance against cancer and its stability analysis. Zbl 1280.92013
Chen, Ling; Ma, Wanbiao
2012
Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response. Zbl 1217.34128
Huang, Gang; Ma, Wanbiao; Takeuchi, Yasuhiro
2011
Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Zbl 1207.92040
Hu, Zhixing; Bi, Ping; Ma, Wanbiao; Ruan, Shigui
2011
Global stability of an HIV pathogenesis model with cure rate. Zbl 1231.34094
Liu, Xiangdong; Wang, Hui; Hu, Zhixing; Ma, Wanbiao
2011
A dynamic model describing heterotrophic culture of Chlorella and its stability analysis. Zbl 1259.34073
Zhang, Yan; Ma, Wanbiao; Yan, Hai; Takeuchi, Yasuhiro
2011
Lyapunov functionals for delay differential equations model of viral infections. Zbl 1209.92035
Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao
2010
Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate. Zbl 1197.92040
Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao; Wei, Daijun
2010
Analysis of the dynamics of a delayed HIV pathogenesis model. Zbl 1185.92062
Hu, Zhixing; Liu, Xiangdong; Wang, Hui; Ma, Wanbiao
2010
Dynamics of a three-species ratio-dependent diffusive model. Zbl 1208.34070
Hu, Zhixing; Gao, Guangke; Ma, Wanbiao
2010
Global properties for virus dynamics model with Beddington-DeAngelis functional response. Zbl 1178.37125
Huang, Gang; Ma, Wanbiao; Takeuchi, Yasuhiro
2009
$$M$$-matrix structure and harmless delays in a Hopfield-type neural network. Zbl 1179.34081
Ma, Wanbiao; Saito, Yasuhisa; Takeuchi, Yasuhiro
2009
Stability analysis of a ratio-dependent Chemostat model with variable yield and time delay. Zbl 1199.34434
Dong, Qinglai; Ma, Wanbiao
2009
Global asymptotic stability of a nonlinear time-delayed system of $$T$$ cells in the thymus. Zbl 1175.34104
Shi, Hongjing; Ma, Wanbiao; Duan, Zhisheng
2009
Necessary and sufficient conditions for global attractivity of Hopfield-type neural networks with time delays. Zbl 1191.34094
Zhang, Shangguo; Ma, Wanbiao; Kuang, Yang
2008
The analysis of two epidemic models with constant immigration and quarantine. Zbl 1194.34110
Hu, Zhixing; Yu, Yang; Ma, Wanbiao
2008
Asymptotic properties of a HIV-1 infection model with time delay. Zbl 1130.34052
Li, Dan; Ma, Wanbiao
2007
Permanence of a delayed SIR epidemic model with density dependent birth rate. Zbl 1117.34310
Song, Mei; Ma, Wanbiao; Takeuchi, Yasuhiro
2007
Dynamical properties of a stage structured three-species model with intra-guild predation. Zbl 1105.92049
Yamaguchi, Masahiro; Takeuchi, Yasuhiro; Ma, Wanbiao
2007
Hopf bifurcations of a variable yield chemostat model with inhibitory exponential substrate uptake. Zbl 1142.34334
Fu, Guifang; Ma, Wanbiao
2006
Asymptotic properties of a revised SIR epidemic model with density dependent birth rate and time delay. Zbl 1102.34061
Song, Mei; Ma, Wanbiao
2006
An improved model of T cell development in the thymus and its stability analysis. Zbl 1089.92026
Shi, Hongjing; Ma, Wanbiao
2006
Qualitative analysis of a chemostat model with inhibitory exponential substrate uptake. Zbl 1062.92069
Fu, Guifang; Ma, Wanbiao; Ruan, Shigui
2005
Global stability of an SIR epidemic model with time delay. Zbl 1071.34082
Ma, Wanbiao; Song, Mei; Takeuchi, Y.
2004
Asymptotic properties of a delayed SIR epidemic model with density dependent birth rate. Zbl 1101.92043
Ma, Wanbiao; Takeuchi, Yasuhiro
2004
Global asymptotic stability of nonlinear delayed systems of neutral type. Zbl 1034.34090
Amemiya, Takashi; Ma, Wanbiao
2003
Permanence of an SIR epidemic model with distributed time delays. Zbl 1014.92033
Ma, Wanbiao; Takeuchi, Yasuhiro; Hara, Tadayuki; Beretta, Edoardo
2002
Harmless delays for permanence and impersistence of a Lotka-Volterra discrete predator-prey system. Zbl 1005.39013
Saito, Yasuhisa; Hara, Tadayuki; Ma, Wanbiao
2002
An inverse procedure for determination of material constants of composite laminates using elastic waves. Zbl 1061.74030
Liu, G. R.; Ma, W. B.; Han, X.
2002
Inversion of loading time history using displacement response of composite laminates: three-dimensional cases. Zbl 1205.74027
Liu, G. R.; Ma, W. B.; Han, X.
2002
Global asymptotic stability of an $$SIR$$ epidemic model with distributed time delay. Zbl 1042.34585
Beretta, Edoardo; Hara, Tadayuki; Ma, Wanbiao; Takeuchi, Yasuhiro
2001
A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays. Zbl 0976.92031
Saito, Yasuhisa; Ma, Wanbiao; Hara, Tadayuki
2001
Global asymptotic properties of a delay SIR epidemic model with finite incubation times. Zbl 0967.34070
Takeuchi, Yasuhiro; Ma, Wanbiao; Beretta, Edoardo
2000
Necessary and sufficient conditions for permanence and global stability of a Lotka-Volterra system with two delays. Zbl 0944.34059
Saito, Yasuhisa; Hara, Tadayuki; Ma, Wanbiao
1999
Stability analysis on a delayed $$SIR$$ epidemic model with density dependent birth process. Zbl 0937.92026
Takeuchi, Y.; Ma, W.
1999
Stability analysis on a predator-prey system with distributed delays. Zbl 0897.34062
Ma, Wanbiao; Takeuchi, Yasuhiro
1998
Stability of neutral differential difference systems with infinite delays. Zbl 0939.34068
Ma, Wanbiao; Takeuchi, Yasuhiro
1998
Global attractivity of mixed Lotka-Volterra differential systems with delays. Zbl 0926.34060
Takeuchi, Y.; Ma, W.
1998
Delay-independent stabilization of uncertain linear systems of neutral type. Zbl 0822.93057
Ma, W. B.; Adachi, N.; Amemiya, T.
1995
Stability for nonlinear differential systems with infinite delay. Zbl 0833.34074
Si, Ligeng; Ma, Wanbiao
1995
Differential-difference inequalities with unbounded delays and their applications. Zbl 0755.34073
Si, Ligeng; Ma, Wanbiao
1991
The stability of large scale dynamical systems with delays by using vector $$V$$ functions. Zbl 0850.93716
Ma, Wanbiao
1989
The algebraic criteria for stability of linear autonomous differential systems of neutral-type. Zbl 0687.34066
Si, Ligeng; Ma, Wanbiao
1988
all top 5

### Cited by 1,265 Authors

 54 Ma, Wanbiao 49 Elaiw, Ahmed M. 32 Meng, Xinzhu 30 Teng, Zhi-dong 25 Zhang, Tongqian 20 Chen, Lansun 20 Takeuchi, Yasuhiro 19 Jiang, Daqing 18 Alshamrani, Noura H. 17 Jiang, Zhichao 17 Wang, Jinliang 17 Xu, Rui 16 Hattaf, Khalid 16 Yang, Yu 15 Liu, Shengqiang 14 Muroya, Yoshiaki 14 Nakata, Yukihiko 13 Wang, Wei 13 Zhang, Tonghua 12 Kuniya, Toshikazu 12 Li, Xuezhi 11 Cheng, Huidong 11 Enatsu, Yoichi 11 Wang, Xia 11 Yousfi, Noura 9 Cai, Liming 9 Chen, Yuming 9 Feng, Zhaosheng 9 Guo, Songbai 9 Huo, Hai-Feng 9 Miao, Hui 9 Papaschinopoulos, Garyfalos 8 Hobiny, Aatef D. 8 Huang, Gang 8 Song, Xinyu 8 Wang, Lin 8 Wang, Yan 8 Zhang, Long 8 Zhao, Wencai 7 Chen, Fengde 7 Dai, Binxiang 7 Hayat, Tasawar 7 Ji, Chunyan 7 Liu, Xianning 7 Tian, Xiaohong 6 Al-saedi, Ahmed Eid Salem 6 Guo, Ke 6 Li, Wan-Tong 6 Martcheva, Maia 6 Ruan, Shigui 6 Samanta, Guru Prasad 6 Schinas, Christos J. 6 Shi, Ningzhong 6 Song, Keying 6 Song, Yi 6 Wanduku, Divine 6 Yang, Junyuan 6 Yuan, Rong 6 Zhang, Tailei 5 Adak, Debadatta 5 Alade, Taofeek O. 5 Alshaikh, Matuka A. 5 Bairagi, Nandadulal 5 Celik, Canan 5 Liao, Xinyuan 5 Lin, Zhigui 5 Liu, Xinzhi 5 Raezah, A. A. 5 Rong, Libin 5 Tang, Sanyi 5 Tian, Yuan 5 Tridane, Abdessamad 5 Wang, Jianmei 5 Wang, Kaifa 5 Wang, Shaoli 5 Xu, Jinhu 5 Zhou, Shengfan 5 Zhuo, Xianglai 4 Alsulami, Saud Mastour A. 4 Chang, Zhengbo 4 Cui, Jingan 4 Fang, Bin 4 Faria, Teresa 4 Garira, Winston S. 4 Han, Renji 4 Hu, Zhixing 4 Huang, Jicai 4 Jin, Zhen 4 Lai, Xiulan 4 Li, Fei 4 Li, Zhong 4 Liu, Junli 4 Liu, Qun 4 Ma, Zhien 4 Mukandavire, Zindoga 4 Sekiguchi, Masaki 4 Sun, Kaibiao 4 Touaoula, Tarik Mohamed 4 Wang, Wendi 4 Wu, Chunqing ...and 1,165 more Authors
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### Cited in 131 Serials

 62 Applied Mathematics and Computation 56 Advances in Difference Equations 54 International Journal of Biomathematics 53 Nonlinear Analysis. Real World Applications 40 Mathematical Biosciences and Engineering 38 Discrete Dynamics in Nature and Society 37 Journal of Mathematical Analysis and Applications 36 Chaos, Solitons and Fractals 32 Discrete and Continuous Dynamical Systems. Series B 27 Applied Mathematics Letters 26 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 Mathematical Methods in the Applied Sciences 17 Complexity 17 Journal of Applied Mathematics and Computing 17 Journal of Biological Dynamics 16 Abstract and Applied Analysis 15 Journal of Applied Analysis and Computation 14 Physica A 13 Computers & Mathematics with Applications 13 Communications in Nonlinear Science and Numerical Simulation 12 Mathematics and Computers in Simulation 11 Mathematical Biosciences 11 Journal of Computational and Applied Mathematics 11 Applied Mathematical Modelling 11 Nonlinear Dynamics 10 Journal of Mathematical Biology 10 Mathematical and Computer Modelling 10 Computational & Mathematical Methods in Medicine 9 Mathematical Problems in Engineering 8 Journal of Differential Equations 8 Computational and Applied Mathematics 8 Journal of Difference Equations and Applications 8 Qualitative Theory of Dynamical Systems 8 Mathematical Modelling of Natural Phenomena 8 Journal of Nonlinear Science and Applications 7 Journal of Biological Systems 6 Applicable Analysis 6 Acta Applicandae Mathematicae 6 Filomat 5 Journal of the Franklin Institute 5 Bulletin of Mathematical Biology 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Acta Mathematicae Applicatae Sinica. English Series 5 Differential Equations and Dynamical Systems 5 Boundary Value Problems 5 International Journal of Differential Equations 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Systems Science and Complexity 4 Communications on Pure and Applied Analysis 4 Journal of Theoretical Biology 3 International Journal of Theoretical Physics 3 Journal of Dynamics and Differential Equations 3 Nonlinear Analysis. Modelling and Control 3 Applications and Applied Mathematics 3 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Applied Nonlinear Dynamics 3 AIMS Mathematics 2 Quaestiones Mathematicae 2 Studies in Applied Mathematics 2 International Journal of Mathematics 2 SIAM Journal on Mathematical Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Discrete and Continuous Dynamical Systems 2 Journal of Mathematical Chemistry 2 Taiwanese Journal of Mathematics 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 The ANZIAM Journal 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Discontinuity, Nonlinearity, and Complexity 2 International Journal of Applied and Computational Mathematics 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Notes 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Journal of the Korean Mathematical Society 1 Journal of Optimization Theory and Applications 1 Ricerche di Matematica 1 Siberian Mathematical Journal 1 Theoretical Computer Science 1 Tôhoku Mathematical Journal. Second Series 1 Applied Mathematics and Mechanics. (English Edition) 1 Stochastic Analysis and Applications 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 MCSS. Mathematics of Control, Signals, and Systems 1 Neural Networks 1 Japan Journal of Industrial and Applied Mathematics 1 Mathematica Bohemica 1 Applications of Mathematics 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 International Journal of Robust and Nonlinear Control 1 Journal of Nonlinear Science 1 Russian Mathematics 1 Test 1 Journal of the Egyptian Mathematical Society 1 Random Operators and Stochastic Equations ...and 31 more Serials
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### Cited in 29 Fields

 844 Biology and other natural sciences (92-XX) 538 Ordinary differential equations (34-XX) 146 Dynamical systems and ergodic theory (37-XX) 135 Partial differential equations (35-XX) 65 Difference and functional equations (39-XX) 62 Systems theory; control (93-XX) 54 Probability theory and stochastic processes (60-XX) 36 Numerical analysis (65-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Computer science (68-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Integral equations (45-XX) 8 Operator theory (47-XX) 4 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 Special functions (33-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX)