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Author ID: ma.wanbiao Recent zbMATH articles by "Ma, Wanbiao"
Published as: Ma, Wanbiao; Ma, W.; Ma, W. B.; Ma, Wan-biao; Ma, Wan Biao
Homepage: http://en.shuli.ustb.edu.cn/Faculty/DoctoralSupervisor/2020-10-15/33.html
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp
Documents Indexed: 154 Publications since 1986
Co-Authors: 80 Co-Authors with 146 Joint Publications
3,004 Co-Co-Authors
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Serials

11 Applied Mathematics Letters
9 Discrete and Continuous Dynamical Systems. Series B
7 Mathematical Biosciences and Engineering
6 Nonlinear Analysis. Real World Applications
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
4 Mathematical Methods in the Applied Sciences
4 Chaos, Solitons and Fractals
4 Applied Mathematical Modelling
4 RIMS Kokyuroku
4 Computational & Mathematical Methods in Medicine
3 Applied Mathematics and Computation
3 Journal of Systems Science and Mathematical Sciences
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Communications in Nonlinear Science and Numerical Simulation
3 Communications on Pure and Applied Analysis
3 International Journal of Information & Systems Sciences
3 International Journal of Biomathematics
3 Journal of Applied Analysis and Computation
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 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
2 Journal of Applied Mathematics
2 Advances in Difference Equations
2 Chinese Journal of Engineering Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications
1 Computers & Mathematics with Applications
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 Acta Mathematicae Applicatae Sinica. English Series
1 Northeastern Mathematical Journal
1 Annals of Differential Equations
1 Journal of Biomathematics
1 Japan Journal of Industrial and Applied Mathematics
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 Chaos
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

Publications by Year

Citations contained in zbMATH Open

114 Publications have been cited 2,008 times in 1,319 Documents Cited by Year
Lyapunov functionals for delay differential equations model of viral infections. Zbl 1209.92035
Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao
140
2010
Global asymptotic stability of an \(SIR\) epidemic model with distributed time delay. Zbl 1042.34585
Beretta, Edoardo; Hara, Tadayuki; Ma, Wanbiao; Takeuchi, Yasuhiro
120
2001
Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate. Zbl 1197.92040
Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao; Wei, Daijun
117
2010
Global asymptotic properties of a delay SIR epidemic model with finite incubation times. Zbl 0967.34070
Takeuchi, Yasuhiro; Ma, Wanbiao; Beretta, Edoardo
114
2000
Global properties for virus dynamics model with Beddington-DeAngelis functional response. Zbl 1178.37125
Huang, Gang; Ma, Wanbiao; Takeuchi, Yasuhiro
113
2009
Asymptotic properties of a HIV-1 infection model with time delay. Zbl 1130.34052
Li, Dan; Ma, Wanbiao
107
2007
Global stability of an SIR epidemic model with time delay. Zbl 1071.34082
Ma, Wanbiao; Song, Mei; Takeuchi, Y.
101
2004
Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response. Zbl 1217.34128
Huang, Gang; Ma, Wanbiao; Takeuchi, Yasuhiro
71
2011
Periodic solution of a prey-predator model with nonlinear state feedback control. Zbl 1410.34243
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu; Zhang, Tonghua
69
2015
Permanence of an SIR epidemic model with distributed time delays. Zbl 1014.92033
Ma, Wanbiao; Takeuchi, Yasuhiro; Hara, Tadayuki; Beretta, Edoardo
60
2002
Analysis of SIR epidemic models with nonlinear incidence rate and treatment. Zbl 1250.92031
Hu, Zhixing; Ma, Wanbiao; Ruan, Shigui
59
2012
A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays. Zbl 0976.92031
Saito, Yasuhisa; Ma, Wanbiao; Hara, Tadayuki
50
2001
Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Zbl 1207.92040
Hu, Zhixing; Bi, Ping; Ma, Wanbiao; Ruan, Shigui
46
2011
Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity. Zbl 1490.92118
Wang, Tianlei; Hu, Zhixing; Liao, Fucheng; Ma, Wanbiao
43
2013
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
41
2017
Global dynamics of a delayed chemostat model with harvest by impulsive flocculant input. Zbl 1422.92139
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
40
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
36
1999
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
30
2014
Global Hopf bifurcation and permanence of a delayed SEIRS epidemic model. Zbl 1519.92263
Jiang, Zhichao; Ma, Wanbiao; Wei, Junjie
26
2016
Global stability of an HIV pathogenesis model with cure rate. Zbl 1231.34094
Liu, Xiangdong; Wang, Hui; Hu, Zhixing; Ma, Wanbiao
23
2011
Stability analysis on a predator-prey system with distributed delays. Zbl 0897.34062
Ma, Wanbiao; Takeuchi, Yasuhiro
22
1998
Global dynamics of a time-delayed microorganism flocculation model with saturated functional responses. Zbl 1403.37094
Guo, Songbai; Ma, Wanbiao; Zhao, Xiao-Qiang
22
2018
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
21
2020
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
21
2013
Global behavior of delay differential equations model of HIV infection with apoptosis. Zbl 1362.37163
Guo, Songbai; Ma, Wanbiao
21
2016
Travelling wave solutions for a nonlocal dispersal HIV infection dynamical model. Zbl 1370.93057
Wang, Wei; Ma, Wanbiao
20
2018
Analysis of the dynamics of a delayed HIV pathogenesis model. Zbl 1185.92062
Hu, Zhixing; Liu, Xiangdong; Wang, Hui; Ma, Wanbiao
20
2010
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
19
2020
Permanence of a delayed SIR epidemic model with density dependent birth rate. Zbl 1117.34310
Song, Mei; Ma, Wanbiao; Takeuchi, Yasuhiro
19
2007
Harmless delays for permanence and impersistence of a Lotka-Volterra discrete predator-prey system. Zbl 1005.39013
Saito, Yasuhisa; Hara, Tadayuki; Ma, Wanbiao
17
2002
Delay-independent stabilization of uncertain linear systems of neutral type. Zbl 0822.93057
Ma, W. B.; Adachi, N.; Amemiya, T.
15
1995
Dynamical properties of a stage structured three-species model with intra-guild predation. Zbl 1105.92049
Yamaguchi, Masahiro; Takeuchi, Yasuhiro; Ma, Wanbiao
15
2007
Global dynamics of a microorganism flocculation model with time delay. Zbl 1365.92060
Guo, Songbai; Ma, Wanbiao
13
2017
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
13
2018
Dynamical behavior of a delay differential equation system on toxin producing phytoplankton and zooplankton interaction. Zbl 1322.92082
Jiang, Zhichao; Ma, Wanbiao; Li, Dan
12
2014
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.
12
2015
A diffusive virus infection dynamic model with nonlinear functional response, absorption effect and chemotaxis. Zbl 1473.92041
Wang, Wei; Ma, Wanbiao; Lai, Xiulan
11
2017
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
11
2020
Remarks on a variant of Lyapunov-LaSalle theorem. Zbl 1504.34203
Guo, Songbai; Ma, Wanbiao
11
2019
A diffusive HIV infection model with nonlocal delayed transmission. Zbl 1376.92071
Wang, Wei; Ma, Wanbiao
10
2018
Hopf bifurcations of a variable yield chemostat model with inhibitory exponential substrate uptake. Zbl 1142.34334
Fu, Guifang; Ma, Wanbiao
10
2006
Stability analysis of a computer virus model in latent period. Zbl 1352.68019
Hu, Zhixing; Wang, Hongwei; Liao, Fucheng; Ma, Wanbiao
9
2015
Qualitative analysis of a chemostat model with inhibitory exponential substrate uptake. Zbl 1062.92069
Fu, Guifang; Ma, Wanbiao; Ruan, Shigui
9
2005
Dynamical analysis of a continuous-culture and harvest chemostat model with impulsive effect. Zbl 1343.92302
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
9
2015
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
8
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
8
2018
Global dynamics and travelling waves for a periodic and diffusive chemostat model with two nutrients and one microorganism. Zbl 1461.35092
Wang, Wei; Ma, Wanbiao; Feng, Zhaosheng
7
2020
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
7
2014
Global dynamics of a reaction and diffusion model for an HTLV-I infection with mitotic division of actively infected cells. Zbl 1488.35539
Wang, Wei; Ma, Wanbiao
6
2017
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
6
2018
\(M\)-matrix structure and harmless delays in a Hopfield-type neural network. Zbl 1179.34081
Ma, Wanbiao; Saito, Yasuhisa; Takeuchi, Yasuhiro
6
2009
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
6
2016
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
6
2017
Asymptotic properties of a revised SIR epidemic model with density dependent birth rate and time delay. Zbl 1102.34061
Song, Mei; Ma, Wanbiao
6
2006
Permanence and extinction for a nonautonomous Kawasaki disease model with time delays. Zbl 1480.34108
Guo, Ke; Ma, Wanbiao
6
2021
Sufficient and necessary conditions for global attractivity and stability of a class of discrete Hopfield-type neural networks with time delays. Zbl 1496.68286
Hong, Yanjie; Ma, Wanbiao
6
2019
Block effect on HCV infection by HMGB1 released from virus-infected cells: an insight from mathematical modeling. Zbl 1510.92244
Wang, Wei; Ma, Wanbiao
5
2018
Nontrivial periodic solution of a stochastic non-autonomous model with biodegradation of microcystins. Zbl 1411.92128
Song, Keying; Zhang, Tonghua; Ma, Wanbiao
5
2019
Qualitative analysis of the chemostat model with variable yield and a time delay. Zbl 1320.92070
Dong, Qinglai; Ma, Wanbiao
5
2013
Delayed feedback control and bifurcation analysis in a chaotic chemostat system. Zbl 1317.34167
Jiang, Zhichao; Ma, Wanbiao
5
2015
Stability analysis on a delayed \(SIR\) epidemic model with density dependent birth process. Zbl 0937.92026
Takeuchi, Y.; Ma, W.
5
1999
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
5
2015
Impulsive control of a continuous-culture and flocculation harvest chemostat model. Zbl 1386.93040
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
5
2017
Dynamics for phytoplankton-zooplankton system with time delays. Zbl 1390.92110
Jiang, Zhichao; Ma, Wanbiao; Takeuchi, Yasuhiro
5
2017
Noise-induced stochastic transition: a stochastic chemostat model with two complementary nutrients and flocculation effect. Zbl 1486.92122
Liu, Rong; Ma, Wanbiao
5
2021
The differential equation model of pathogenesis of Kawasaki disease with theoretical analysis. Zbl 1497.92063
Qiang, Rong; Ma, Wanbiao; Guo, Ke; Du, Hongwu
5
2019
An analysis approach to permanence of a delay differential equations model of microorganism flocculation. Zbl 1506.34106
Guo, Songbai; Cui, Jing-An; Ma, Wanbiao
5
2022
Global dynamics analysis of a time-delayed dynamic model of Kawasaki disease pathogenesis. Zbl 1494.34183
Guo, Ke; Ma, Wanbiao; Qiang, Rong
5
2022
Differential-difference inequalities with unbounded delays and their applications. Zbl 0755.34073
Si, Ligeng; Ma, Wanbiao
4
1991
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
4
2020
Permanence of a delayed SIR epidemic model with general nonlinear incidence rate. Zbl 1307.34114
Jiang, Zhichao; Ma, Wanbiao
4
2015
Global stability of a delayed mosquito-transmitted disease model with stage structure. Zbl 1325.92080
Pradeep, B. G. Sampath Aruna; Ma, Wanbiao
4
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
4
2008
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
3
2020
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
3
2018
Dynamics of a three-species ratio-dependent diffusive model. Zbl 1208.34070
Hu, Zhixing; Gao, Guangke; Ma, Wanbiao
3
2010
An improved model of T cell development in the thymus and its stability analysis. Zbl 1089.92026
Shi, Hongjing; Ma, Wanbiao
3
2006
Asymptotic properties of a delayed SIR epidemic model with density dependent birth rate. Zbl 1101.92043
Ma, Wanbiao; Takeuchi, Yasuhiro
3
2004
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
3
2012
Global asymptotic stability of a delay differential equation model for SARS-CoV-2 virus infection mediated by ACE2 receptor protein. Zbl 1522.92067
Lv, Jinlong; Ma, Wanbiao
3
2023
Stability for nonlinear differential systems with infinite delay. Zbl 0833.34074
Si, Ligeng; Ma, Wanbiao
2
1995
Bifurcation analysis of modeling biodegradation of microcystins. Zbl 1416.34070
Song, Keying; Ma, Wanbiao; Jiang, Zhichao
2
2019
A class of two dimensional dynamic model describing environment pollution and its stability analysis. Zbl 1424.34148
Li, Ruxue; Ma, Wanbiao; Guo, Ke
2
2018
Chemotaxis effect on algae by inorganic polymer flocculants: backward bifurcations and traveling wave solutions. Zbl 1405.35232
Wang, Wei; Ma, Wanbiao; Feng, Zhaosheng
2
2018
Global behavior of a dynamic model with biodegradation of microcystins. Zbl 1461.92131
Song, Keying; Ma, Wanbiao; Guo, Ke
2
2019
Some sufficient conditions for global asymptotic stability of a hepatitis C virus mathematical model considering host immune system. Zbl 1530.92229
Guo, Ke; Ma, Wanbiao
2
2022
Global attractivity of mixed Lotka-Volterra differential systems with delays. Zbl 0926.34060
Takeuchi, Y.; Ma, W.
2
1998
Stability of neutral differential difference systems with infinite delays. Zbl 0939.34068
Ma, Wanbiao; Takeuchi, Yasuhiro
2
1998
Complete characterizations of the gamma function. Zbl 1335.33001
Guo, Songbai; Ma, Wanbiao; Pradeep, B. G. Sampath Aruna
2
2014
Global stability analysis of the equilibrium of an improved time-delayed dynamic model to describe the development of T cells in the thymus. Zbl 1488.34453
Li, Yang; Ma, Wanbiao; Xiao, Liming; Yang, Weitao
2
2017
Global properties for a class of latent HIV infection dynamics model with CTL immune response. Zbl 1318.92047
Dong, Yueping; Ma, Wanbiao
2
2012
The general chemostat model with multiple nutrients and flocculating agent: from deterministic behavior to stochastic forcing transition. Zbl 1505.92258
Liu, Rong; Ma, Wanbiao; Guo, Ke
2
2023
Regime shifts between oscillatory persistence and extinction in a stochastic chemostat model with periodic parameters. Zbl 07906558
Liu, Rong; Ma, Wanbiao; Guo, Songbai
2
2022
Periodic oscillation for a class of in-host MERS-CoV infection model with CTL immune response. Zbl 1511.92078
Keyoumu, Tuersunjiang; Guo, Ke; Ma, Wanbiao
2
2022
Global dynamics of an SI epidemic model with nonlinear incidence rate, feedback controls and time delays. Zbl 1471.92310
Guo, Ke; Ma, Wanbiao
2
2021
The stability of large scale dynamical systems with delays by using vector \(V\) functions. Zbl 0850.93716
Ma, Wanbiao
1
1989
Stability of a mathematical model of tumour-induced angiogenesis. Zbl 1416.92027
Li, Dan; Ma, Wanbiao; Guo, Songbai
1
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
1
2016
Sufficient conditions for global dynamics of a viral infection model with nonlinear diffusion. Zbl 1471.35279
Wang, Wei; Ma, Wanbiao; Lai, Xiulan
1
2021
The algebraic criteria for stability of linear autonomous differential systems of neutral-type. Zbl 0687.34066
Si, Ligeng; Ma, Wanbiao
1
1988
Global asymptotic stability of a delay differential equation model for SARS-CoV-2 virus infection mediated by ACE2 receptor protein. Zbl 1522.92067
Lv, Jinlong; Ma, Wanbiao
3
2023
The general chemostat model with multiple nutrients and flocculating agent: from deterministic behavior to stochastic forcing transition. Zbl 1505.92258
Liu, Rong; Ma, Wanbiao; Guo, Ke
2
2023
Optimal control of a size-structured unicellular algae model in harvesting and sewage treatment. Zbl 1538.92039
Ni, Dongdong; Ma, Wanbiao
1
2023
An analysis approach to permanence of a delay differential equations model of microorganism flocculation. Zbl 1506.34106
Guo, Songbai; Cui, Jing-An; Ma, Wanbiao
5
2022
Global dynamics analysis of a time-delayed dynamic model of Kawasaki disease pathogenesis. Zbl 1494.34183
Guo, Ke; Ma, Wanbiao; Qiang, Rong
5
2022
Some sufficient conditions for global asymptotic stability of a hepatitis C virus mathematical model considering host immune system. Zbl 1530.92229
Guo, Ke; Ma, Wanbiao
2
2022
Regime shifts between oscillatory persistence and extinction in a stochastic chemostat model with periodic parameters. Zbl 07906558
Liu, Rong; Ma, Wanbiao; Guo, Songbai
2
2022
Periodic oscillation for a class of in-host MERS-CoV infection model with CTL immune response. Zbl 1511.92078
Keyoumu, Tuersunjiang; Guo, Ke; Ma, Wanbiao
2
2022
A size-structured model describing flocculation of unicellular algae. Zbl 1505.92129
Ni, Dongdong; Ma, Wanbiao
1
2022
Existence of positive periodic solutions of a delayed periodic microcystins degradation model with nonlinear functional responses. Zbl 1498.34226
Guo, Ke; Song, Keying; Ma, Wanbiao
1
2022
Permanence and extinction for a nonautonomous Kawasaki disease model with time delays. Zbl 1480.34108
Guo, Ke; Ma, Wanbiao
6
2021
Noise-induced stochastic transition: a stochastic chemostat model with two complementary nutrients and flocculation effect. Zbl 1486.92122
Liu, Rong; Ma, Wanbiao
5
2021
Global dynamics of an SI epidemic model with nonlinear incidence rate, feedback controls and time delays. Zbl 1471.92310
Guo, Ke; Ma, Wanbiao
2
2021
Sufficient conditions for global dynamics of a viral infection model with nonlinear diffusion. Zbl 1471.35279
Wang, Wei; Ma, Wanbiao; Lai, Xiulan
1
2021
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
21
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
19
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
11
2020
Global dynamics and travelling waves for a periodic and diffusive chemostat model with two nutrients and one microorganism. Zbl 1461.35092
Wang, Wei; Ma, Wanbiao; Feng, Zhaosheng
7
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
4
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
3
2020
Remarks on a variant of Lyapunov-LaSalle theorem. Zbl 1504.34203
Guo, Songbai; Ma, Wanbiao
11
2019
Sufficient and necessary conditions for global attractivity and stability of a class of discrete Hopfield-type neural networks with time delays. Zbl 1496.68286
Hong, Yanjie; Ma, Wanbiao
6
2019
Nontrivial periodic solution of a stochastic non-autonomous model with biodegradation of microcystins. Zbl 1411.92128
Song, Keying; Zhang, Tonghua; Ma, Wanbiao
5
2019
The differential equation model of pathogenesis of Kawasaki disease with theoretical analysis. Zbl 1497.92063
Qiang, Rong; Ma, Wanbiao; Guo, Ke; Du, Hongwu
5
2019
Bifurcation analysis of modeling biodegradation of microcystins. Zbl 1416.34070
Song, Keying; Ma, Wanbiao; Jiang, Zhichao
2
2019
Global behavior of a dynamic model with biodegradation of microcystins. Zbl 1461.92131
Song, Keying; Ma, Wanbiao; Guo, Ke
2
2019
Global dynamics of a time-delayed microorganism flocculation model with saturated functional responses. Zbl 1403.37094
Guo, Songbai; Ma, Wanbiao; Zhao, Xiao-Qiang
22
2018
Travelling wave solutions for a nonlocal dispersal HIV infection dynamical model. Zbl 1370.93057
Wang, Wei; Ma, Wanbiao
20
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
13
2018
A diffusive HIV infection model with nonlocal delayed transmission. Zbl 1376.92071
Wang, Wei; Ma, Wanbiao
10
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
8
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
8
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
6
2018
Block effect on HCV infection by HMGB1 released from virus-infected cells: an insight from mathematical modeling. Zbl 1510.92244
Wang, Wei; Ma, Wanbiao
5
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
3
2018
A class of two dimensional dynamic model describing environment pollution and its stability analysis. Zbl 1424.34148
Li, Ruxue; Ma, Wanbiao; Guo, Ke
2
2018
Chemotaxis effect on algae by inorganic polymer flocculants: backward bifurcations and traveling wave solutions. Zbl 1405.35232
Wang, Wei; Ma, Wanbiao; Feng, Zhaosheng
2
2018
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
41
2017
Global dynamics of a delayed chemostat model with harvest by impulsive flocculant input. Zbl 1422.92139
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
40
2017
Global dynamics of a microorganism flocculation model with time delay. Zbl 1365.92060
Guo, Songbai; Ma, Wanbiao
13
2017
A diffusive virus infection dynamic model with nonlinear functional response, absorption effect and chemotaxis. Zbl 1473.92041
Wang, Wei; Ma, Wanbiao; Lai, Xiulan
11
2017
Global dynamics of a reaction and diffusion model for an HTLV-I infection with mitotic division of actively infected cells. Zbl 1488.35539
Wang, Wei; Ma, Wanbiao
6
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
6
2017
Impulsive control of a continuous-culture and flocculation harvest chemostat model. Zbl 1386.93040
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
5
2017
Dynamics for phytoplankton-zooplankton system with time delays. Zbl 1390.92110
Jiang, Zhichao; Ma, Wanbiao; Takeuchi, Yasuhiro
5
2017
Global stability analysis of the equilibrium of an improved time-delayed dynamic model to describe the development of T cells in the thymus. Zbl 1488.34453
Li, Yang; Ma, Wanbiao; Xiao, Liming; Yang, Weitao
2
2017
Global Hopf bifurcation and permanence of a delayed SEIRS epidemic model. Zbl 1519.92263
Jiang, Zhichao; Ma, Wanbiao; Wei, Junjie
26
2016
Global behavior of delay differential equations model of HIV infection with apoptosis. Zbl 1362.37163
Guo, Songbai; Ma, Wanbiao
21
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
6
2016
Stability of a mathematical model of tumour-induced angiogenesis. Zbl 1416.92027
Li, Dan; Ma, Wanbiao; Guo, Songbai
1
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
1
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
1
2016
Periodic solution of a prey-predator model with nonlinear state feedback control. Zbl 1410.34243
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu; Zhang, Tonghua
69
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.
12
2015
Stability analysis of a computer virus model in latent period. Zbl 1352.68019
Hu, Zhixing; Wang, Hongwei; Liao, Fucheng; Ma, Wanbiao
9
2015
Dynamical analysis of a continuous-culture and harvest chemostat model with impulsive effect. Zbl 1343.92302
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
9
2015
Delayed feedback control and bifurcation analysis in a chaotic chemostat system. Zbl 1317.34167
Jiang, Zhichao; Ma, Wanbiao
5
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
5
2015
Permanence of a delayed SIR epidemic model with general nonlinear incidence rate. Zbl 1307.34114
Jiang, Zhichao; Ma, Wanbiao
4
2015
Global stability of a delayed mosquito-transmitted disease model with stage structure. Zbl 1325.92080
Pradeep, B. G. Sampath Aruna; Ma, Wanbiao
4
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
30
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
12
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
7
2014
Complete characterizations of the gamma function. Zbl 1335.33001
Guo, Songbai; Ma, Wanbiao; Pradeep, B. G. Sampath Aruna
2
2014
Necessary and sufficient conditions for oscillation of neutral delay differential equations. Zbl 1304.34115
Guo, Songbai; Ma, Wanbiao; Pradeep, B. G. Sampath Aruna
1
2014
Qualitative analysis of a chemostat model with inhibitory exponential substrate uptake and a time delay. Zbl 1329.92082
Dong, Qinglai; Ma, Wanbiao
1
2014
Stability properties of a delayed HIV dynamics model with Beddington-DeAngelis functional response and absorption effect. Zbl 1306.34128
Pradeep, B. G. Sampath Aruna; Ma, Wanbiao
1
2014
Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity. Zbl 1490.92118
Wang, Tianlei; Hu, Zhixing; Liao, Fucheng; Ma, Wanbiao
43
2013
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
21
2013
Qualitative analysis of the chemostat model with variable yield and a time delay. Zbl 1320.92070
Dong, Qinglai; Ma, Wanbiao
5
2013
An epidemic model for tick-borne disease with two delays. Zbl 1397.92645
Li, Dan; Ma, Wanbiao; Jiang, Zhichao
1
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
1
2013
Analysis of SIR epidemic models with nonlinear incidence rate and treatment. Zbl 1250.92031
Hu, Zhixing; Ma, Wanbiao; Ruan, Shigui
59
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
3
2012
Global properties for a class of latent HIV infection dynamics model with CTL immune response. Zbl 1318.92047
Dong, Yueping; Ma, Wanbiao
2
2012
Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response. Zbl 1217.34128
Huang, Gang; Ma, Wanbiao; Takeuchi, Yasuhiro
71
2011
Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Zbl 1207.92040
Hu, Zhixing; Bi, Ping; Ma, Wanbiao; Ruan, Shigui
46
2011
Global stability of an HIV pathogenesis model with cure rate. Zbl 1231.34094
Liu, Xiangdong; Wang, Hui; Hu, Zhixing; Ma, Wanbiao
23
2011
A dynamic model describing heterotrophic culture of Chlorella and its stability analysis. Zbl 1259.34073
Zhang, Yan; Ma, Wanbiao; Yan, Hai; Takeuchi, Yasuhiro
1
2011
Lyapunov functionals for delay differential equations model of viral infections. Zbl 1209.92035
Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao
140
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
117
2010
Analysis of the dynamics of a delayed HIV pathogenesis model. Zbl 1185.92062
Hu, Zhixing; Liu, Xiangdong; Wang, Hui; Ma, Wanbiao
20
2010
Dynamics of a three-species ratio-dependent diffusive model. Zbl 1208.34070
Hu, Zhixing; Gao, Guangke; Ma, Wanbiao
3
2010
Global properties for virus dynamics model with Beddington-DeAngelis functional response. Zbl 1178.37125
Huang, Gang; Ma, Wanbiao; Takeuchi, Yasuhiro
113
2009
\(M\)-matrix structure and harmless delays in a Hopfield-type neural network. Zbl 1179.34081
Ma, Wanbiao; Saito, Yasuhisa; Takeuchi, Yasuhiro
6
2009
Stability analysis of a ratio-dependent Chemostat model with variable yield and time delay. Zbl 1199.34434
Dong, Qinglai; Ma, Wanbiao
1
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
1
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
4
2008
The analysis of two epidemic models with constant immigration and quarantine. Zbl 1194.34110
Hu, Zhixing; Yu, Yang; Ma, Wanbiao
1
2008
Asymptotic properties of a HIV-1 infection model with time delay. Zbl 1130.34052
Li, Dan; Ma, Wanbiao
107
2007
Permanence of a delayed SIR epidemic model with density dependent birth rate. Zbl 1117.34310
Song, Mei; Ma, Wanbiao; Takeuchi, Yasuhiro
19
2007
Dynamical properties of a stage structured three-species model with intra-guild predation. Zbl 1105.92049
Yamaguchi, Masahiro; Takeuchi, Yasuhiro; Ma, Wanbiao
15
2007
Hopf bifurcations of a variable yield chemostat model with inhibitory exponential substrate uptake. Zbl 1142.34334
Fu, Guifang; Ma, Wanbiao
10
2006
Asymptotic properties of a revised SIR epidemic model with density dependent birth rate and time delay. Zbl 1102.34061
Song, Mei; Ma, Wanbiao
6
2006
An improved model of T cell development in the thymus and its stability analysis. Zbl 1089.92026
Shi, Hongjing; Ma, Wanbiao
3
2006
Qualitative analysis of a chemostat model with inhibitory exponential substrate uptake. Zbl 1062.92069
Fu, Guifang; Ma, Wanbiao; Ruan, Shigui
9
2005
Global stability of an SIR epidemic model with time delay. Zbl 1071.34082
Ma, Wanbiao; Song, Mei; Takeuchi, Y.
101
2004
Asymptotic properties of a delayed SIR epidemic model with density dependent birth rate. Zbl 1101.92043
Ma, Wanbiao; Takeuchi, Yasuhiro
3
2004
Global asymptotic stability of nonlinear delayed systems of neutral type. Zbl 1034.34090
Amemiya, Takashi; Ma, Wanbiao
1
2003
Permanence of an SIR epidemic model with distributed time delays. Zbl 1014.92033
Ma, Wanbiao; Takeuchi, Yasuhiro; Hara, Tadayuki; Beretta, Edoardo
60
2002
...and 14 more Documents
all top 5

Cited by 1,793 Authors

74 Ma, Wanbiao
63 Elaiw, Ahmed M.
40 Meng, Xinzhu
35 Teng, Zhi-dong
31 Zhang, Tongqian
24 Alshamrani, Noura H.
24 Jiang, Daqing
24 Yang, Yu
24 Zhang, Tonghua
22 Takeuchi, Yasuhiro
21 Guo, Songbai
21 Hattaf, Khalid
20 Chen, Lansun
20 Wang, Jinliang
20 Xu, Rui
19 Wang, Wei
18 Jiang, Zhichao
17 Liu, Shengqiang
16 Guo, Ke
15 Chen, Yuming
15 Kuniya, Toshikazu
15 Yousfi, Noura
14 Nakata, Yukihiko
13 Cheng, Huidong
13 Huo, Hai-Feng
13 Li, Xuezhi
13 Park, Juhyun (Jessie)
13 Wang, Xia
12 Feng, Zhaosheng
12 Muroya, Yoshiaki
12 Zhang, Long
11 Enatsu, Yoichi
11 Hobiny, Aatef D.
11 Xu, Jinhu
10 Djilali, Salih
10 Miao, Hui
10 Wang, Yan
9 Cai, Liming
9 Hayat, Tasawar
9 Papaschinopoulos, Garyfalos
9 Song, Xinyu
9 Tian, Yuan
9 Wang, Lin
9 Zhou, Jinling
8 Adak, Debadatta
8 Allali, Karam
8 Bairagi, Nandadulal
8 Chen, Fengde
8 Dai, Binxiang
8 Geng, Yan
8 Huang, Gang
8 Ji, Chunyan
8 Liu, Xianning
8 Liu, Xinzhi
8 Ruan, Shigui
8 Shi, Ningzhong
8 Song, Yi
8 Tian, Xiaohong
8 Tripathi, Jai Prakash
8 Wang, Shaoli
8 Yang, Junyuan
8 Zhao, Wencai
7 Al-saedi, Ahmed Eid Salem
7 Alshaikh, Matuka A.
7 Cui, Jingan
7 Liu, Qun
7 Rong, Libin
7 Song, Keying
7 Wanduku, Divine
7 Yang, Yuguang
7 Zhang, Ran
6 Han, Renji
6 Hu, Zhixing
6 Kumar Upadhyay, Ranjit
6 Li, Wan-Tong
6 Martcheva, Maia
6 Raezah, Aeshah A.
6 Samanta, Guru Prasad
6 Schinas, Christos J.
6 Shi, Weimin
6 Sun, Kaibiao
6 Tang, Sanyi
6 Touaoula, Tarik Mohamed
6 Wu, Jianhong
6 Xiang, Hong
6 Xu, Fei
6 Yuan, Rong
6 Zhang, Tailei
6 Zhou, Yihua
5 Alade, Taofeek O.
5 Bentout, Soufiane
5 Celik, Canan
5 Chekroun, Abdennasser
5 Feng, Tao
5 Gao, Shujing
5 Jin, Zhen
5 Kiouach, Driss
5 Liao, Xinyuan
5 Lin, Zhigui
5 Oliveira, José J.
...and 1,693 more Authors
all top 5

Cited in 173 Serials

69 Applied Mathematics and Computation
66 Advances in Difference Equations
64 Mathematical Methods in the Applied Sciences
63 International Journal of Biomathematics
61 Nonlinear Analysis. Real World Applications
56 Mathematical Biosciences and Engineering
46 Chaos, Solitons and Fractals
43 Journal of Mathematical Analysis and Applications
40 Discrete Dynamics in Nature and Society
39 Discrete and Continuous Dynamical Systems. Series B
37 Applied Mathematics Letters
34 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
28 Journal of Applied Mathematics and Computing
27 Mathematics and Computers in Simulation
27 Communications in Nonlinear Science and Numerical Simulation
25 Journal of Applied Analysis and Computation
23 Physica A
21 Journal of Biological Dynamics
19 Computers & Mathematics with Applications
19 Complexity
16 Journal of Mathematical Biology
16 Abstract and Applied Analysis
15 Applied Mathematical Modelling
15 Qualitative Theory of Dynamical Systems
14 Nonlinear Dynamics
13 Mathematical Problems in Engineering
12 Mathematical Biosciences
12 Journal of Computational and Applied Mathematics
12 Journal of Differential Equations
12 Computational & Mathematical Methods in Medicine
11 Acta Mathematicae Applicatae Sinica. English Series
11 Computational and Applied Mathematics
11 Differential Equations and Dynamical Systems
10 Mathematical and Computer Modelling
9 Applicable Analysis
9 Bulletin of Mathematical Biology
9 Journal of Difference Equations and Applications
9 Journal of Biological Systems
8 Chaos
8 Mathematical Modelling of Natural Phenomena
8 Journal of Nonlinear Science and Applications
7 Acta Applicandae Mathematicae
7 Communications on Pure and Applied Analysis
7 Boundary Value Problems
6 Journal of the Franklin Institute
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Filomat
6 Journal of Theoretical Biology
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Studies in Applied Mathematics
5 Electronic Journal of Differential Equations (EJDE)
5 Discrete and Continuous Dynamical Systems. Series S
5 International Journal of Differential Equations
4 International Journal of Theoretical Physics
4 Journal of Dynamics and Differential Equations
4 Journal of Systems Science and Complexity
4 Quantum Information Processing
4 Applications and Applied Mathematics
3 Journal of Optimization Theory and Applications
3 Journal of Nonlinear Science
3 Journal of Inequalities and Applications
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Nonlinear Analysis. Modelling and Control
3 Journal of Applied Mathematics
3 Nonlinear Analysis. Hybrid Systems
3 Asian Journal of Control
3 Journal of Applied Nonlinear Dynamics
3 Open Mathematics
3 AIMS Mathematics
3 Electronic Research Archive
2 Information Sciences
2 Quaestiones Mathematicae
2 Ricerche di Matematica
2 Acta Mathematicae Applicatae Sinica
2 Physica D
2 International Journal of Mathematics
2 International Journal of Computer Mathematics
2 SIAM Journal on Applied Mathematics
2 SIAM Journal on Mathematical Analysis
2 International Journal of Robust and Nonlinear Control
2 Turkish Journal of Mathematics
2 Fractals
2 NoDEA. Nonlinear Differential Equations and Applications
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 Mathematical and Computer Modelling of Dynamical Systems
2 The ANZIAM Journal
2 Acta Mathematica Scientia. Series B. (English Edition)
2 SIAM Journal on Applied Dynamical Systems
2 Journal of Physics A: Mathematical and Theoretical
2 São Paulo Journal of Mathematical Sciences
2 Advances in Mathematical Physics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Journal of the Korean Society for Industrial and Applied Mathematics
2 Discontinuity, Nonlinearity, and Complexity
2 International Journal of Applied and Computational Mathematics
2 Mathematics in Applied Sciences and Engineering
1 International Journal of Control
...and 73 more Serials

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