# zbMATH — the first resource for mathematics

## Ma, Wanbiao

Compute Distance To:
 Author ID: ma.wanbiao Published as: Ma, Wanbiao; Ma, W.; Ma, W. B.; Ma, Wan Biao
 Documents Indexed: 138 Publications since 1986
all top 5

#### Co-Authors

 10 single-authored 25 Takeuchi, Yasuhiro 17 Hu, Zhixing 14 Wang, Wei 10 Liao, Fucheng 9 Guo, Songbai 9 Jiang, Zhichao 7 Hara, Tadayuki 6 Beretta, Edoardo 6 Li, Dan 6 Si, Ligeng 6 Song, Keying 6 Wang, Hui 5 Dong, Qinglai 5 Saito, Yasuhisa 5 Sampath Aruna Pradeep, B. G. 4 Feng, Zhaosheng 4 Guo, Ke 4 Huang, Gang 4 Lai, Xiulan 4 Meng, Xinzhu 4 Zhang, Tongqian 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, Ling 1 Cheng, Xiaowei 1 Dekker, Rommert 1 Dong, Yueping 1 Duan, Zhisheng 1 Eruguz, Ayse Sena 1 Fu, Yu 1 Gao, Guangke 1 Huang, Xiaofan 1 Jin, Chaochao 1 Kuang, Yang 1 Li, Ruxue 1 Liu, Yajuan 1 Mahmoud, Magdi Sadik Mostafa 1 Qiang, Rong 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 Xie, Leifang 1 Yu, Yang 1 Zhang, Jiajia 1 Zhang, Qian 1 Zhang, Yan 1 Zhao, Xiao-Qiang 1 Zhou, Shengyu
all top 5

#### Serials

 7 Applied Mathematics Letters 7 Discrete and Continuous Dynamical Systems. Series B 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 RIMS Kokyuroku 4 Computational & Mathematical Methods in Medicine 3 Mathematical Methods in the Applied Sciences 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Computation 3 Journal of Systems Science and Mathematical Sciences 3 Applied Mathematical Modelling 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 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 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 Mathematical Biosciences and Engineering 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 Tohoku 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 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
all top 5

#### Fields

 103 Biology and other natural sciences (92-XX) 101 Ordinary differential equations (34-XX) 10 Partial differential equations (35-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Systems theory; control (93-XX) 5 Difference and functional equations (39-XX) 5 Numerical analysis (65-XX) 4 Integral equations (45-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 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

82 Publications have been cited 1,201 times in 766 Documents Cited by Year
Global asymptotic properties of a delay SIR epidemic model with finite incubation times. Zbl 0967.34070
Takeuchi, Yasuhiro; Ma, Wanbiao; Beretta, Edoardo
2000
Global asymptotic stability of an $$SIR$$ epidemic model with distributed time delay. Zbl 1042.34585
Beretta, Edoardo; Hara, Tadayuki; Ma, Wanbiao; Takeuchi, Yasuhiro
2001
Lyapunov functionals for delay differential equations model of viral infections. Zbl 1209.92035
Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao
2010
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 properties for virus dynamics model with Beddington-DeAngelis functional response. Zbl 1178.37125
Huang, Gang; Ma, Wanbiao; Takeuchi, Yasuhiro
2009
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
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
Permanence of an SIR epidemic model with distributed time delays. Zbl 1014.92033
Ma, Wanbiao; Takeuchi, Yasuhiro; Hara, Tadayuki; Beretta, Edoardo
2002
Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response. Zbl 1217.34128
Huang, Gang; Ma, Wanbiao; Takeuchi, Yasuhiro
2011
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
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
Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Zbl 1207.92040
Hu, Zhixing; Bi, Ping; Ma, Wanbiao; Ruan, Shigui
2011
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
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 on a predator-prey system with distributed delays. Zbl 0897.34062
Ma, Wanbiao; Takeuchi, Yasuhiro
1998
Harmless delays for permanence and impersistence of a Lotka-Volterra discrete predator-prey system. Zbl 1005.39013
Saito, Yasuhisa; Hara, Tadayuki; Ma, Wanbiao
2002
Permanence of a delayed SIR epidemic model with density dependent birth rate. Zbl 1117.34310
Song, Mei; Ma, Wanbiao; Takeuchi, Yasuhiro
2007
Analysis of the dynamics of a delayed HIV pathogenesis model. Zbl 1185.92062
Hu, Zhixing; Liu, Xiangdong; Wang, Hui; Ma, Wanbiao
2010
Global stability of an HIV pathogenesis model with cure rate. Zbl 1231.34094
Liu, Xiangdong; Wang, Hui; Hu, Zhixing; Ma, Wanbiao
2011
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
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
Delay-independent stabilization of uncertain linear systems of neutral type. Zbl 0822.93057
Ma, W. B.; Adachi, N.; Amemiya, T.
1995
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
Qualitative analysis of a chemostat model with inhibitory exponential substrate uptake. Zbl 1062.92069
Fu, Guifang; Ma, Wanbiao; Ruan, Shigui
2005
Global dynamics of a time-delayed microorganism flocculation model with saturated functional responses. Zbl 1403.37094
Guo, Songbai; Ma, Wanbiao; Zhao, Xiao-Qiang
2018
Global behavior of delay differential equations model of HIV infection with apoptosis. Zbl 1362.37163
Guo, Songbai; Ma, Wanbiao
2016
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
Hopf bifurcations of a variable yield chemostat model with inhibitory exponential substrate uptake. Zbl 1142.34334
Fu, Guifang; Ma, Wanbiao
2006
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
A diffusive HIV infection model with nonlocal delayed transmission. Zbl 1376.92071
Wang, Wei; Ma, Wanbiao
2018
Global dynamics of a microorganism flocculation model with time delay. Zbl 1365.92060
Guo, Songbai; Ma, Wanbiao
2017
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
Asymptotic properties of a revised SIR epidemic model with density dependent birth rate and time delay. Zbl 1102.34061
Song, Mei; Ma, Wanbiao
2006
Impulsive control of a continuous-culture and flocculation harvest chemostat model. Zbl 1386.93040
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
2017
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
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
Stability analysis on a delayed $$SIR$$ epidemic model with density dependent birth process. Zbl 0937.92026
Takeuchi, Y.; Ma, W.
1999
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
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
Dynamical analysis of a continuous-culture and harvest chemostat model with impulsive effect. Zbl 1343.92302
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
2015
Differential-difference inequalities with unbounded delays and their applications. Zbl 0755.34073
Si, Ligeng; Ma, Wanbiao
1991
Qualitative analysis of the chemostat model with variable yield and a time delay. Zbl 1320.92070
Dong, Qinglai; Ma, Wanbiao
2013
Stability analysis of a computer virus model in latent period. Zbl 1352.68019
Hu, Zhixing; Wang, Hongwei; Liao, Fucheng; Ma, Wanbiao
2015
Asymptotic properties of a delayed SIR epidemic model with density dependent birth rate. Zbl 1101.92043
Ma, Wanbiao; Takeuchi, Yasuhiro
2004
$$M$$-matrix structure and harmless delays in a Hopfield-type neural network. Zbl 1179.34081
Ma, Wanbiao; Saito, Yasuhisa; Takeuchi, Yasuhiro
2009
Dynamics for phytoplankton-zooplankton system with time delays. Zbl 1390.92110
Jiang, Zhichao; Ma, Wanbiao; Takeuchi, Yasuhiro
2017
Permanence of a delayed SIR epidemic model with general nonlinear incidence rate. Zbl 1307.34114
Jiang, Zhichao; Ma, Wanbiao
2015
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
Delayed feedback control and bifurcation analysis in a chaotic chemostat system. Zbl 1317.34167
Jiang, Zhichao; Ma, Wanbiao
2015
Nontrivial periodic solution of a stochastic non-autonomous model with biodegradation of microcystins. Zbl 1411.92128
Song, Keying; Zhang, Tonghua; Ma, Wanbiao
2019
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
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 attractivity of mixed Lotka-Volterra differential systems with delays. Zbl 0926.34060
Takeuchi, Y.; Ma, W.
1998
Stability of neutral differential difference systems with infinite delays. Zbl 0939.34068
Ma, Wanbiao; Takeuchi, Yasuhiro
1998
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
Global stability of a delayed mosquito-transmitted disease model with stage structure. Zbl 1325.92080
Pradeep, B. G. Sampath Aruna; Ma, Wanbiao
2015
Complete characterizations of the gamma function. Zbl 1335.33001
Guo, Songbai; Ma, Wanbiao; Pradeep, B. G. Sampath Aruna
2014
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
Stability for nonlinear differential systems with infinite delay. Zbl 0833.34074
Si, Ligeng; Ma, Wanbiao
1995
Chemotaxis effect on algae by inorganic polymer flocculants: backward bifurcations and traveling wave solutions. Zbl 1405.35232
Wang, Wei; Ma, Wanbiao; Feng, Zhaosheng
2018
Global asymptotic stability of nonlinear delayed systems of neutral type. Zbl 1034.34090
Amemiya, Takashi; Ma, Wanbiao
2003
An improved model of T cell development in the thymus and its stability analysis. Zbl 1089.92026
Shi, Hongjing; Ma, Wanbiao
2006
Stability analysis of a ratio-dependent Chemostat model with variable yield and time delay. Zbl 1199.34434
Dong, Qinglai; Ma, Wanbiao
2009
The stability of large scale dynamical systems with delays by using vector $$V$$ functions. Zbl 0850.93716
Ma, Wanbiao
1989
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
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
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
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
The algebraic criteria for stability of linear autonomous differential systems of neutral-type. Zbl 0687.34066
Si, Ligeng; Ma, Wanbiao
1988
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
An epidemic model for tick-borne disease with two delays. Zbl 1397.92645
Li, Dan; Ma, Wanbiao; Jiang, Zhichao
2013
Dynamics of a three-species ratio-dependent diffusive model. Zbl 1208.34070
Hu, Zhixing; Gao, Guangke; Ma, Wanbiao
2010
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
Global properties for a class of latent HIV infection dynamics model with CTL immune response. Zbl 1318.92047
Dong, Yueping; Ma, Wanbiao
2012
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
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
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
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
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
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
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
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
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
Impulsive control of a continuous-culture and flocculation harvest chemostat model. Zbl 1386.93040
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
2017
Dynamics for phytoplankton-zooplankton system with time delays. Zbl 1390.92110
Jiang, Zhichao; Ma, Wanbiao; Takeuchi, Yasuhiro
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
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
Periodic solution of a prey-predator model with nonlinear state feedback control. Zbl 1410.34243
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu; Zhang, Tonghua
2015
Dynamical analysis of a continuous-culture and harvest chemostat model with impulsive effect. Zbl 1343.92302
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
2015
Stability analysis of a computer virus model in latent period. Zbl 1352.68019
Hu, Zhixing; Wang, Hongwei; Liao, Fucheng; Ma, Wanbiao
2015
Permanence of a delayed SIR epidemic model with general nonlinear incidence rate. Zbl 1307.34114
Jiang, Zhichao; Ma, Wanbiao
2015
Delayed feedback control and bifurcation analysis in a chaotic chemostat system. Zbl 1317.34167
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
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
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
Qualitative analysis of the chemostat model with variable yield and a time delay. Zbl 1320.92070
Dong, Qinglai; Ma, Wanbiao
2013
An epidemic model for tick-borne disease with two delays. Zbl 1397.92645
Li, Dan; Ma, Wanbiao; Jiang, Zhichao
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
Analysis of SIR epidemic models with nonlinear incidence rate and treatment. Zbl 1250.92031
Hu, Zhixing; Ma, Wanbiao; Ruan, Shigui
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 properties for a class of latent HIV infection dynamics model with CTL immune response. Zbl 1318.92047
Dong, Yueping; 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
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
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
Global attractivity of mixed Lotka-Volterra differential systems with delays. Zbl 0926.34060
Takeuchi, Y.; Ma, W.
1998
Stability of neutral differential difference systems with infinite delays. Zbl 0939.34068
Ma, Wanbiao; Takeuchi, Yasuhiro
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 1,040 Authors

 45 Ma, Wanbiao 32 Elaiw, Ahmed M. 28 Meng, Xinzhu 25 Teng, Zhi-dong 20 Chen, Lansun 20 Zhang, Tongqian 17 Takeuchi, Yasuhiro 16 Wang, Jinliang 15 Hattaf, Khalid 14 Liu, Shengqiang 14 Muroya, Yoshiaki 14 Nakata, Yukihiko 14 Xu, Rui 14 Yang, Yu 13 Jiang, Daqing 12 Jiang, Zhichao 12 Li, Xuezhi 12 Wang, Wei 11 Cheng, Huidong 11 Enatsu, Yoichi 10 Kuniya, Toshikazu 10 Wang, Xia 10 Yousfi, Noura 10 Zhang, Tonghua 9 Cai, Liming 9 Huo, Hai-Feng 9 Papaschinopoulos, Garyfalos 8 Alshamrani, Noura H. 8 Chen, Yuming 8 Miao, Hui 8 Song, Xinyu 7 Chen, Fengde 7 Feng, Zhaosheng 7 Guo, Songbai 7 Huang, Gang 7 Ji, Chunyan 7 Liu, Xianning 7 Wang, Lin 7 Zhao, Wencai 6 Li, Wan-Tong 6 Martcheva, Maia 6 Samanta, Guru Prasad 6 Schinas, Christos J 6 Shi, Ningzhong 6 Song, Yi 6 Yang, Junyuan 6 Yuan, Rong 6 Zhang, Long 6 Zhang, Tailei 5 Celik, Canan 5 Dai, Binxiang 5 Liao, Xinyuan 5 Lin, Zhigui 5 Liu, Xinzhi 5 Raezah, A. A. 5 Ruan, Shigui 5 Song, Keying 5 Tang, Sanyi 5 Tian, Yuan 5 Wanduku, Divine 5 Wang, Jianmei 5 Wang, Kaifa 5 Zhou, Shengfan 4 Adak, Debadatta 4 Bairagi, Nandadulal 4 Fang, Bin 4 Faria, Teresa 4 Garira, Winston S. 4 Hayat, Tasawar 4 Hu, Zhixing 4 Jin, Zhen 4 Lai, Xiulan 4 Li, Fei 4 Li, Zhong 4 Liu, Junli 4 Ma, Zhien 4 Mukandavire, Zindoga 4 Rong, Libin 4 Sekiguchi, Masaki 4 Sun, Kaibiao 4 Tian, Xiaohong 4 Wang, Shaoli 4 Wang, Wendi 4 Wu, Chunqing 4 Xiang, Hong 4 Xu, Jinhu 4 Zhang, Fengqin 4 Zhuo, Xianglai 3 Abdurahman, Xamxinur 3 Alade, Taofeek O. 3 Allali, Karam 3 Al-saedi, Ahmed Eid Salem 3 Alsulami, Saud Mastour A. 3 Avila-Vales, Eric Jose 3 Banerjee, Malay 3 Bhatti, Harbax Singh 3 Cao, Jianzhi 3 Chang, Zhengbo 3 Cui, Jingan 3 Dhar, Joydip ...and 940 more Authors
all top 5

#### Cited in 116 Serials

 59 Applied Mathematics and Computation 51 Nonlinear Analysis. Real World Applications 44 International Journal of Biomathematics 40 Advances in Difference Equations 37 Discrete Dynamics in Nature and Society 35 Journal of Mathematical Analysis and Applications 27 Discrete and Continuous Dynamical Systems. Series B 25 Chaos, Solitons and Fractals 24 Applied Mathematics Letters 22 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 Mathematical Methods in the Applied Sciences 17 Complexity 16 Abstract and Applied Analysis 15 Journal of Applied Analysis and Computation 14 Mathematical Biosciences and Engineering 13 Computers & Mathematics with Applications 13 Journal of Biological Dynamics 12 Journal of Applied Mathematics and Computing 11 Mathematical Biosciences 11 Journal of Computational and Applied Mathematics 11 Communications in Nonlinear Science and Numerical Simulation 10 Mathematical and Computer Modelling 10 Nonlinear Dynamics 10 Computational & Mathematical Methods in Medicine 9 Applied Mathematical Modelling 9 Mathematical Problems in Engineering 8 Journal of Mathematical Biology 8 Journal of Differential Equations 8 Mathematical Modelling of Natural Phenomena 8 Journal of Nonlinear Science and Applications 7 Computational and Applied Mathematics 7 Journal of Difference Equations and Applications 6 Journal of Biological Systems 5 Journal of the Franklin Institute 5 Bulletin of Mathematical Biology 5 Mathematics and Computers in Simulation 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Acta Applicandae Mathematicae 5 Qualitative Theory of Dynamical Systems 5 International Journal of Differential Equations 4 Differential Equations and Dynamical Systems 4 Journal of Systems Science and Complexity 4 Communications on Pure and Applied Analysis 4 Journal of Theoretical Biology 3 Applicable Analysis 3 International Journal of Theoretical Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Acta Mathematicae Applicatae Sinica. English Series 2 Physica A 2 Studies in Applied Mathematics 2 International Journal of Mathematics 2 SIAM Journal on Mathematical Analysis 2 Journal of Dynamics and Differential Equations 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 International Journal of Nonlinear Sciences and Numerical Simulation 2 The ANZIAM Journal 2 Nonlinear Analysis. Modelling and Control 2 Applications and Applied Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 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 Quaestiones Mathematicae 1 Ricerche di Matematica 1 Siberian Mathematical Journal 1 Theoretical Computer Science 1 Tohoku Mathematical Journal. Second Series 1 Applied Mathematics and Mechanics. (English Edition) 1 Stochastic Analysis and Applications 1 Bulletin of the Iranian Mathematical Society 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 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 1 NoDEA. Nonlinear Differential Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Taiwanese Journal of Mathematics 1 Chaos 1 Acta Mathematica Sinica. English Series 1 Dynamical Systems 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 Journal of Industrial and Management Optimization ...and 16 more Serials
all top 5

#### Cited in 28 Fields

 682 Biology and other natural sciences (92-XX) 460 Ordinary differential equations (34-XX) 114 Dynamical systems and ergodic theory (37-XX) 108 Partial differential equations (35-XX) 63 Difference and functional equations (39-XX) 58 Systems theory; control (93-XX) 42 Probability theory and stochastic processes (60-XX) 31 Numerical analysis (65-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Computer science (68-XX) 7 Operator theory (47-XX) 5 Integral equations (45-XX) 4 Combinatorics (05-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Mechanics of particles and systems (70-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 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX)