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## Ma, Zhien

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 Author ID: ma.zhien Published as: Ma, Zhien; Ma, Z.; Ma, Zhi’en; Ma, Zhi-en; Ma, Zhi En; Ma, Z.-E.; Ma, Zh.
 Documents Indexed: 164 Publications since 1960, including 3 Books Biographic References: 1 Publication
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#### Co-Authors

 2 single-authored 27 Li, Jianquan 18 Xu, Rui 13 Jiang, Liqiang 11 Fergola, Paolo 11 Jin, Zhen 10 Yuan, Sanling 10 Zhang, Fengqin 10 Zhou, Yicang 7 Han, Litao 7 Lou, Jie 7 Wang, Wendi 7 Zhang, Juan 6 Shao, Yiming 6 Tenneriello, Catello 5 Wu, Jianhong 5 Yan, Jurang 4 Guo, Sangang 4 Han, Maoan 4 He, Zerong 4 Zhen, Jin 3 Gan, Qintao 3 Hallam, Thomas G. 3 Hu, Zhixing 3 Li, Chengzhi 3 Li, Jia 3 Wang, Ernian 2 Brauer, Fred 2 Li, Shuyong 2 Li, Xiaorang 2 Luo, Zhixue 2 Petrillo, F. 2 Song, Baojun 2 Wang, Hui 2 Yang, Yali 2 Ye, Yanqian 2 Zhou, Yican 1 Bajić, Vladimir B. 1 Blythe, Steve P. 1 Cai, Suilin 1 Cao, Hui 1 Castillo-Chavez, Carlos 1 Cerasuolo, Marianna 1 Chen, Lansun 1 Cui, Guirong 1 Czan, T. 1 Dinu, Mihai 1 Dong, Yuzi 1 Freedman, Herbert Irving 1 Gates, J. V. 1 Hao, Feilong 1 Hethcote, Herbert W. 1 Huang, Kecheng 1 Huang, Qing 1 Hyman, James M. 1 Jopson, R. M. 1 Kon-tin, V. 1 Kornblit, A. 1 Li, Meili 1 Li, Weihua 1 Liu, Huaping 1 Liu, Jianping 1 Liu, Luju 1 Liu, Weiguo 1 Lou, Meizhi 1 Luo, Dingjun 1 Ma, Junling 1 McLellan, H. R. 1 Mei, Changlin 1 Morgan, Dennis R. 1 Pan, Jinxiao 1 Pastalan, J. 1 Pau, S. H. 1 Qi, Suying 1 Rionero, Salvatore 1 Ruan, Yuhua 1 Ruggeri, Tommaso 1 Shi, Tan 1 Slusher, R. E. 1 Teneriello, C. 1 Tits, André L. 1 Uzunoglu, V. 1 Wang, Ladi 1 Wang, Mingshu 1 Wang, Zhiping 1 Weng, Xiaoqing 1 White, Marvin H. 1 Xu, Jianqing 1 Yan, Huizhen 1 Yang, Pinghua 1 Yang, Xinan 1 Yuang, Sanling 1 Zhao, Aiming 1 Zhao, Hengbao 1 Zhao, Huiwen 1 Zhou, Yi 1 Zhou, Yigang 1 Zhu, Huanping 1 Zierdt, Michael G. 1 Zong, Wengang
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#### Serials

 10 Journal of Biomathematics 10 Mathematical and Computer Modelling 9 Journal of Engineering Mathematics (Xi’an) 6 Journal of Xi’an Jiaotong University 6 Nonlinear Analysis. Real World Applications 6 Mathematical Biosciences and Engineering 5 Journal of Mathematical Analysis and Applications 5 Chaos, Solitons and Fractals 5 Systems Science and Mathematical Sciences 4 Computers & Mathematics with Applications 4 Mathematical Biosciences 4 Annals of Differential Equations 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Systems Science and Complexity 4 Acta Mathematica Scientia. Series A. (Chinese Edition) 4 Chinese Journal of Engineering Mathematics 3 Indian Journal of Pure & Applied Mathematics 3 Journal of Mathematical Biology 3 Acta Mathematicae Applicatae Sinica 3 Chinese Annals of Mathematics. Series A 3 Journal of Systems Science and Mathematical Sciences 3 Journal of Biological Systems 3 Acta Mathematica Scientia. Series B. (English Edition) 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics and Computation 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics. Series A (Chinese Edition) 2 Chinese Quarterly Journal of Mathematics 2 Journal of Theoretical Biology 1 Applicable Analysis 1 IMA Journal of Applied Mathematics 1 International Journal of Systems Science 1 Bulletin of Mathematical Biology 1 Acta Mathematica Sinica 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Ricerche di Matematica 1 Journal of Mathematical Research & Exposition 1 Mathematica Applicata 1 IEEE Transactions on Signal Processing 1 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 1 Dynamic Systems and Applications 1 SIAM Journal on Applied Mathematics 1 Systems Analysis, Modelling Simulation 1 Applied Mathematics. Series B (English Edition) 1 Nonlinear Dynamics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of Biomathematics 1 Mathematical Inequalities & Applications 1 International Journal of Applied Mathematics and Computer Science 1 Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche. Serie IV 1 International Journal of Differential Equations and Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Sādhanā 1 Mathematical Sciences Research Journal 1 Science Record, New Series 1 Translations of Mathematical Monographs 1 Series in Contemporary Applied Mathematics CAM 1 Quantum Information & Computation
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#### Fields

 131 Biology and other natural sciences (92-XX) 118 Ordinary differential equations (34-XX) 27 Dynamical systems and ergodic theory (37-XX) 7 Partial differential equations (35-XX) 6 Integral equations (45-XX) 6 Systems theory; control (93-XX) 5 Numerical analysis (65-XX) 4 Difference and functional equations (39-XX) 3 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

108 Publications have been cited 1,544 times in 1,182 Documents Cited by Year
Global stability of a SIR epidemic model with nonlinear incidence rate and time delay. Zbl 1183.34131
Xu, Rui; Ma, Zhien
2009
The existence of periodic solutions of the $$n$$-species Lotka-Volterra competition systems with impulsive. Zbl 1058.92046
Zhen, Jin; Ma, Zhien; Han, Maoan
2004
The threshold of survival for system of two species in polluted environment. Zbl 0745.92028
Liu, Huaping; Ma, Zhien
1991
Four predator prey models with infectious diseases. Zbl 0999.92032
Han, Litao; Ma, Zhien; Hethcote, H. W.
2001
Stability of a delayed SIRS epidemic model with a nonlinear incidence rate. Zbl 1198.34098
Xu, Rui; Ma, Zhien
2009
Persistence and extinction of a population in a polluted environment. Zbl 0714.92027
Ma, Zhien; Cui, Guirong; Wang, Wendi
1990
An HBV model with diffusion and time delay. Zbl 1400.92560
Xu, Rui; Ma, Zhien
2009
Epidemic threshold conditions for seasonally forced SEIR models. Zbl 1089.92048
Ma, Junling; Ma, Zhien
2006
Global dynamics of an SEIR epidemic model with saturating contact rate. Zbl 1021.92040
Zhang, Juan; Ma, Zhien
2003
Qualitative analyses of SIS epidemic model with vaccination and varying total population size. Zbl 1045.92039
Li, Jianquan; Ma, Zhien
2002
Stability and Hopf bifurcation in a ratio-dependent predator-prey system with stage structure. Zbl 1146.34323
Xu, Rui; Ma, Zhien
2008
Modeling and dynamics of infectious diseases. Zbl 1180.92081
Ma, Zhien (ed.); Zhou, Yicang (ed.); Wu, Jianhong (ed.)
2009
A discrete epidemic model for SARS transmission and control in China. Zbl 1066.92046
Zhou, Yicang; Ma, Zhien; Brauer, F.
2004
Stability analysis for differential infectivity epidemic models. Zbl 1025.92012
Ma, Zhien; Liu, Jianping; Li, Jia
2003
Periodic solutions for delay differential equations model of plankton allelopathy. Zbl 1094.34542
Zhen, Jin; Ma, Zhien
2002
Effects of parameter fluctuations on community survival. Zbl 0631.92019
Ma, Zhien; Hallam, Thomas G.
1987
Stability and bifurcation analysis of a ratio-dependent predator-prey model with time delay. Zbl 1186.34122
Xu, Rui; Gan, Qintao; Ma, Zhien
2009
The threshold of survival for systems in a fluctuating environment. Zbl 0676.92010
Ma, Zhien; Song, Baojun; Hallam, Thomas G.
1989
Global stability of a delayed SEIRS epidemic model with saturation incidence rate. Zbl 1204.34096
Xu, Rui; Ma, Zhien
2010
Stability for a competitive Lotka-Volterra system with delays. Zbl 1015.34060
Zhen, Jin; Ma, Zhien
2002
Thresholds of survival for an $$n$$-dimensional Volterra mutualistic system in a polluted environment. Zbl 0965.92030
Pan, Jinxiao; Jin, Zhen; Ma, Zhien
2000
Dynamical modeling and analysis of epidemics. Zbl 1170.92026
Ma, Zhien (ed.); Li, Jia (ed.)
2009
Global analysis of SIS epidemic models with variable total population size. Zbl 1065.92047
Li, Jianquan; Ma, Zhien
2004
The thresholds of survival for an $$n$$-dimensional food chain model in a polluted environment. Zbl 0905.92030
Ma, Zhien; Zong, Wengang; Luo, Zhixue
1997
Global stability of a delayed SIRS epidemic model with saturation incidence and temporary immunity. Zbl 1193.34115
Xu, Rui; Ma, Zhien; Wang, Zhiping
2010
Global analysis of discrete-time SI and SIS epidemic models. Zbl 1142.92038
Li, Jianquan; Ma, Zhien; Brauer, Fred
2007
Global stability of an SIRS epidemic model with delays. Zbl 1090.92044
Zhen, Jin; Ma, Zhien; Han, Maoan
2006
Epidemiological models for mutating pathogens. Zbl 1088.34045
Li, Jia; Zhou, Yican; Ma, Zhien; Hyman, James M.
2004
The effect of dispersal on the permanence of a predator-prey system with time delay. Zbl 1142.34055
Xu, Rui; Ma, Zhien
2008
Stability and Hopf bifurcation in a predator-prey model with stage structure for the predator. Zbl 1154.92327
Xu, Rui; Ma, Zhien
2008
Global analysis of SIS epidemic model with a simple vaccination and multiple endemic equilibria. Zbl 1092.92041
Li, Jianquan; Ma, Zhien; Zhou, Yicang
2006
Global stability of a reaction-diffusion predator-prey model with a nonlocal delay. Zbl 1185.35130
Xu, Rui; Ma, Zhien
2009
Competition in the chemostat: convergence of a model with delayed response in growth. Zbl 1036.92037
Yuan, Sanling; Han, Maoan; Ma, Zhien
2003
On density and extinction in continuous population models. Zbl 0641.92011
Hallam, Thomas G.; Ma, Zhien
1987
Permanence of populations in a polluted environment. Zbl 0817.92018
Wang, Wendi; Ma, Zhien
1994
Global stability of two models with incomplete treatment for tuberculosis. Zbl 1211.92038
Yang, Yali; Li, Jianquan; Ma, Zhien; Liu, Luju
2010
The effect of stage-structure on the permanence of a predator-prey system with time delay. Zbl 1117.92058
Xu, Rui; Ma, Zhien
2007
Boundary value problems for first order impulsive delay differential equations with a parameter. Zbl 1056.34041
Zhang, Fengqin; Ma, Zhien; Yan, Jurang
2004
Stability of predation models with time delay. Zbl 0592.92020
Ma, Zhien
1986
The stability of an SIR epidemic model with time delays. Zbl 1089.92045
Jin, Zhen; Ma, Zhien
2006
A compartmental model for the analysis of SARS transmission patterns and outbreak control measures in China. Zbl 1057.92048
Zhang, Juan; Lou, Jie; Ma, Zhien; Wu, Jianhong
2005
Permanence of a nonautonomous population model. Zbl 0940.92020
Wang, Wendi; Ma, Zhien
1998
Delayed innovation diffusion processes with positive and negative word-of-mouth. Zbl 0954.34068
Fergola, P.; Teneriello, C.; Ma, Z.; Petrillo, F.
2000
Stability switches in a class of characteristic equations with delay-dependent parameters. Zbl 1097.34055
Li, Jianquan; Ma, Zhien
2004
Stability analysis for SIS epidemic models with vaccination and constant population size. Zbl 1101.92041
Li, Jianquan; Ma, Zhien
2004
Global dynamics of an SEIR epidemic model with immigration of different compartments. Zbl 1096.92039
Zhang, Juan; Li, Jianquan; Ma, Zhien
2006
Codimension 3 B-T bifurcations in an epidemic model with a nonlinear incidence. Zbl 1317.34168
Li, Chengzhi; Li, Jianquan; Ma, Zhien
2015
Stability analysis for an epidemic model with stage structure. Zbl 1154.92321
Li, Jianquan; Ma, Zhien; Zhang, Fengqin
2008
Periodic boundary value problems and monotone iterative methods for first order impulsive differential equations with delay. Zbl 1003.34049
Zhang, Fengqin; Ma, Zhien; Yan, Jurang
2001
Global analysis of some epidemic models with general contact rate and constant immigration. Zbl 1070.92042
Li, Jianquan; Zhang, Juan; Ma, Zhien
2004
Complex dynamics of a simple epidemic model with a nonlinear incidence. Zbl 1128.92039
Li, Jianquan; Zhou, Yigang; Wu, Jianhong; Ma, Zhien
2007
Convergence in the chemostat model with delayed response in growth. Zbl 0966.92030
Wang, Wendi; Ma, Zhien
1999
An SIRS epidemic model of two competitive species. Zbl 1022.92033
Han, Litao; Ma, Zhien; Shi, Tan
2003
Coexistence of pathogens in sexually-transmitted disease models. Zbl 1052.92047
Li, Jia; Ma, Zhien; Blythe, Steve P.; Castillo-Chavez, Carlos
2003
Global stability of a class of discrete age-structured SIS models with immigration. Zbl 1167.92031
Zhou, Yicang; Ma, Zhien
2009
Periodic orbits in 3-dimensional systems and application to a perturbed Volterra system. Zbl 1382.34033
Li, Chengzhi; Ma, Zhien; Zhou, Yicang
2016
Global dynamics-convergence to equilibria-of epidemic patch models with immigration. Zbl 1190.34062
Yang, Yali; Wu, Jianhong; Li, Jianquan; Ma, Zhien
2010
Persistence and periodic orbits for an SIS model in a polluted environment. Zbl 1064.92040
Wang, Feng; Ma, Zhien
2004
Optimal birth control problems for nonlinear age-structured population dynamics. Zbl 1100.92047
He, Z.-R.; Wang, M.-S.; Ma, Z.-E.
2004
Canard phenomenon for an SIS epidemic model with nonlinear incidence. Zbl 1303.34040
Li, Chengzhi; Li, Jianquan; Ma, Zhien; Zhu, Huanping
2014
Global stability of Volterra models with time delay. Zbl 0760.34058
Weng, Xiaoqing; Ma, Zhien; Freedman, H. I.
1991
Effects of toxicants on chemostat models with $$n$$ populations competing for a critical nutrient. Zbl 0873.92026
Wen, X.; Ma, Z.; Fergola, P.; Tenneriello, C.
1997
A generalized memory polynomial model for digital predistortion of RF power amplifiers. Zbl 1374.94568
Morgan, D. R.; Ma, Z.; Kim, J.; Zierdt, M. G.; Pastalan, J.
2006
Bifurcation analysis of a discrete SIS model with bilinear incidence depending on new infection. Zbl 1273.37042
Cao, Hui; Zhou, Yicang; Ma, Zhien
2013
Uniform persistence in discrete semidynamical system and its application. Zbl 0908.54025
Wang, Wendi; Ma, Zhien
1995
The threshold of survival for predator-prey Volterra system of three species in a polluted environment. Zbl 0848.92020
Ma, Zhien; Luo, Zhixue; Jin, Zhen; Zhao, Hengbao
1995
On the effect of pollution and catch to a logistic population. Zbl 0888.92037
He, Zerong; Ma, Zhien
1997
Effects of toxicants on chemostat model with time variable nutrient input and washout. Zbl 0965.92031
Ma, Zhien; Guo, Sangang; Fergola, P.; Tenneriello, C.
1998
A kind of epidemic model having infectious force in both latent period and infected period. Zbl 1059.92509
Yuang, Sanling; Han, Litao; Ma, Zhien
2001
Modeling and prediction of HIV in China: transmission rates structured by infection ages. Zbl 1158.92327
Zhou, Yican; Shao, Yiming; Ruan, Yuhua; Xu, Jianqing; Ma, Zhien; Mei, Changlin; Wu, Jianhong
2008
Polluted chemostat models with periodic nutrient and fluctuating toxicant input. Zbl 0881.92033
Fergola, P.; Tenneriello, C.; Ma, Z.; Wen, X.
1996
The global stability analysis for an SIS model with age and infection age structures. Zbl 1022.92040
Zhou, Yicang; Song, Baojun; Ma, Zhien
2002
On stability of some transcendental equations. Zbl 0706.34047
Huang, Qing; Ma, Zhien
1990
Global dynamics of a vector disease model with saturation incidence and time delay. Zbl 1246.37098
Xu, Rui; Ma, Zhien
2011
The threshold of population survival in a polluted chemostat model with double nutrient input. Zbl 1125.92321
Ma, Zhien; Guo, Sangang
1996
Uniform persistence of $$n$$-dimensional Lotka-Volterra competition systems with finite delay. Zbl 0984.92037
Jin, Zhen; Ma, Zhien
1998
Stability and bifurcation in a Beddington-DeAngelis type predator-prey model with prey dispersal. Zbl 1167.34038
Xu, Rui; Ma, Zhien; Gan, Qintao
2008
Analysis of two SEIS epidemic models with fixed period of latency. Zbl 1100.34533
Li, Jianquan; Ma, Zhien
2006
Global stability of an epidemic model with vaccination. Zbl 1095.92063
Li, Jianquan; Ma, Zhien
2006
The threshold of population survival in a polluted chemostat model. Zbl 1069.92520
Guo, Sangang; Ma, Zhien; Fergola, P.; Tenneriello, C.
1998
On the dynamics of a chemostat model with delayed nutrient recycling. Zbl 0946.92029
Fergola, Paolo; Jiang, Liqiang; Ma, Zhien
2000
Global stability and Hopf bifurcation of an SIS epidemic model with time delays. Zbl 0988.92026
Yuan, Sanling; Ma, Zhien
2001
Persistence and periodic solution of a nonautonomous SIS model with delays. Zbl 1036.34074
Yuan, San-ling; Ma, Zhi-en; Jin, Zhen
2003
Modelling the interaction of T-cells, antigen presenting cells, and HIV-1 in vivo. Zbl 1064.92027
Lou, Jie; Ma, Zhien; Shao, Yiming; Han, Litao
2004
Theory of limit cycles. Transl. from the Chinese by Chi Y. Lo, ed. by S. H. Gould and J. K. Hale. Zbl 0588.34022
Ye, Yanqian; Cai, Suilin; Chen, Lansun; Huang, Kecheng; Luo, Dingjun; Ma, Zhien; Wang, Ernian; Wang, Mingshu; Yang, Xinan
1986
Cycles and chaotic behavior in an AIDS-related cancer dynamic model in vivo. Zbl 1279.92040
Lou, Jie; Ruggeri, Tommaso; Ma, Zhien
2007
Ultimate stability of a type of characteristic equation with delay dependent parameters. Zbl 1105.93053
Li, Jianquan; Ma, Zhien
2006
System design for large-scale ion trap quantum information processor. Zbl 1175.81084
Kim, J.; Pau, S.; Ma, Z.; McLellan, H. R.; Gates, J. V.; Kornblit, A.; Slusher, R. E.; Jopson, R. M.; Kang, I.; Dinu, M.
2005
The impact of the CD8+ cell non-cytotoxic antiviral response (CNAR) and cytotoxic T lymphocyte (CTL) activity in a cell-to-cell spread model for HIV-1 with a time delay. Zbl 1099.34048
Lou, Jie; Ma, Zhien; Li, Jianquan; Shao, Yiming; Han, Litao
2004
On the dynamical behavior of some algal allelopathic competitions in chemostat-like environment. Zbl 1264.34095
Fergola, Paolo; Li, Jianquan; Ma, Zhien
2011
Stability of a chemostat model for a single species with delayed nutrient recycling – case of weak kernel function. Zbl 0923.92027
Jiang, Liqiang; Ma, Zhien
1998
The spiral method for the study of stability of a type of transcendental equation. Zbl 0863.65025
Li, Jianquan; Ma, Zhien
1995
Dynamic behavior of the SEIS model with saturating contact rate. Zbl 0996.92033
Zhang, Juan; Ma, Zhi’en
2002
Global existence of a positive periodic solution to a predator-prey system. Zbl 0978.34037
Yuan, Sanling; Jin, Zhen; Ma, Zhi’en
2000
Harmless delays for uniform persistence. Zbl 0965.92028
Jin, Zhen; Ma, Zhien
2000
Global stability of positive equilibrium of nonlinear age-structured population model. Zbl 0946.92025
Zhou, Yicang; Ma, Zhi’en
1999
The survival analysis for Gallopin’s system in a polluted environment. Zbl 1033.92035
He, Zerong; Ma, Zhien
2000
Global stability on an SIS epidemic model with time delays. Zbl 1070.92045
Yuan, Sanling; Ma, Zhien; Han, Maoan
2005
Stability of some epidemic models with passive immunity. Zbl 1051.34043
Lou, Jie; Ma, Zhien
2003
A SIR epidemic model with varying population size. Zbl 1162.92321
Jin, Zhen; Ma, Zhien; Yuan, Sanling
2003
Periodic orbits in 3-dimensional systems and application to a perturbed Volterra system. Zbl 1382.34033
Li, Chengzhi; Ma, Zhien; Zhou, Yicang
2016
Codimension 3 B-T bifurcations in an epidemic model with a nonlinear incidence. Zbl 1317.34168
Li, Chengzhi; Li, Jianquan; Ma, Zhien
2015
Canard phenomenon for an SIS epidemic model with nonlinear incidence. Zbl 1303.34040
Li, Chengzhi; Li, Jianquan; Ma, Zhien; Zhu, Huanping
2014
Bifurcation analysis of a discrete SIS model with bilinear incidence depending on new infection. Zbl 1273.37042
Cao, Hui; Zhou, Yicang; Ma, Zhien
2013
Global dynamics of a vector disease model with saturation incidence and time delay. Zbl 1246.37098
Xu, Rui; Ma, Zhien
2011
On the dynamical behavior of some algal allelopathic competitions in chemostat-like environment. Zbl 1264.34095
Fergola, Paolo; Li, Jianquan; Ma, Zhien
2011
Global stability of a delayed SEIRS epidemic model with saturation incidence rate. Zbl 1204.34096
Xu, Rui; Ma, Zhien
2010
Global stability of a delayed SIRS epidemic model with saturation incidence and temporary immunity. Zbl 1193.34115
Xu, Rui; Ma, Zhien; Wang, Zhiping
2010
Global stability of two models with incomplete treatment for tuberculosis. Zbl 1211.92038
Yang, Yali; Li, Jianquan; Ma, Zhien; Liu, Luju
2010
Global dynamics-convergence to equilibria-of epidemic patch models with immigration. Zbl 1190.34062
Yang, Yali; Wu, Jianhong; Li, Jianquan; Ma, Zhien
2010
Global stability of a SIR epidemic model with nonlinear incidence rate and time delay. Zbl 1183.34131
Xu, Rui; Ma, Zhien
2009
Stability of a delayed SIRS epidemic model with a nonlinear incidence rate. Zbl 1198.34098
Xu, Rui; Ma, Zhien
2009
An HBV model with diffusion and time delay. Zbl 1400.92560
Xu, Rui; Ma, Zhien
2009
Modeling and dynamics of infectious diseases. Zbl 1180.92081
Ma, Zhien; Zhou, Yicang; Wu, Jianhong
2009
Stability and bifurcation analysis of a ratio-dependent predator-prey model with time delay. Zbl 1186.34122
Xu, Rui; Gan, Qintao; Ma, Zhien
2009
Dynamical modeling and analysis of epidemics. Zbl 1170.92026
Ma, Zhien; Li, Jia
2009
Global stability of a reaction-diffusion predator-prey model with a nonlocal delay. Zbl 1185.35130
Xu, Rui; Ma, Zhien
2009
Global stability of a class of discrete age-structured SIS models with immigration. Zbl 1167.92031
Zhou, Yicang; Ma, Zhien
2009
Stability and bifurcation analysis on a ratio-dependent predator-prey model with prey dispersal and time delay. Zbl 1186.34123
Xu, Rui; Gan, Qintao; Ma, Zhien
2009
Stability and Hopf bifurcation in a ratio-dependent predator-prey system with stage structure. Zbl 1146.34323
Xu, Rui; Ma, Zhien
2008
The effect of dispersal on the permanence of a predator-prey system with time delay. Zbl 1142.34055
Xu, Rui; Ma, Zhien
2008
Stability and Hopf bifurcation in a predator-prey model with stage structure for the predator. Zbl 1154.92327
Xu, Rui; Ma, Zhien
2008
Stability analysis for an epidemic model with stage structure. Zbl 1154.92321
Li, Jianquan; Ma, Zhien; Zhang, Fengqin
2008
Modeling and prediction of HIV in China: transmission rates structured by infection ages. Zbl 1158.92327
Zhou, Yican; Shao, Yiming; Ruan, Yuhua; Xu, Jianqing; Ma, Zhien; Mei, Changlin; Wu, Jianhong
2008
Stability and bifurcation in a Beddington-DeAngelis type predator-prey model with prey dispersal. Zbl 1167.34038
Xu, Rui; Ma, Zhien; Gan, Qintao
2008
Dynamical behavior of an epidemic model with coinfection of two diseases. Zbl 1194.37177
Li, Jianquan; Wang, Ladi; Zhao, Huiwen; Ma, Zhien
2008
Global analysis of discrete-time SI and SIS epidemic models. Zbl 1142.92038
Li, Jianquan; Ma, Zhien; Brauer, Fred
2007
The effect of stage-structure on the permanence of a predator-prey system with time delay. Zbl 1117.92058
Xu, Rui; Ma, Zhien
2007
Complex dynamics of a simple epidemic model with a nonlinear incidence. Zbl 1128.92039
Li, Jianquan; Zhou, Yigang; Wu, Jianhong; Ma, Zhien
2007
Cycles and chaotic behavior in an AIDS-related cancer dynamic model in vivo. Zbl 1279.92040
Lou, Jie; Ruggeri, Tommaso; Ma, Zhien
2007
Epidemic threshold conditions for seasonally forced SEIR models. Zbl 1089.92048
Ma, Junling; Ma, Zhien
2006
Global stability of an SIRS epidemic model with delays. Zbl 1090.92044
Zhen, Jin; Ma, Zhien; Han, Maoan
2006
Global analysis of SIS epidemic model with a simple vaccination and multiple endemic equilibria. Zbl 1092.92041
Li, Jianquan; Ma, Zhien; Zhou, Yicang
2006
The stability of an SIR epidemic model with time delays. Zbl 1089.92045
Jin, Zhen; Ma, Zhien
2006
Global dynamics of an SEIR epidemic model with immigration of different compartments. Zbl 1096.92039
Zhang, Juan; Li, Jianquan; Ma, Zhien
2006
A generalized memory polynomial model for digital predistortion of RF power amplifiers. Zbl 1374.94568
Morgan, D. R.; Ma, Z.; Kim, J.; Zierdt, M. G.; Pastalan, J.
2006
Analysis of two SEIS epidemic models with fixed period of latency. Zbl 1100.34533
Li, Jianquan; Ma, Zhien
2006
Global stability of an epidemic model with vaccination. Zbl 1095.92063
Li, Jianquan; Ma, Zhien
2006
Ultimate stability of a type of characteristic equation with delay dependent parameters. Zbl 1105.93053
Li, Jianquan; Ma, Zhien
2006
A compartmental model for the analysis of SARS transmission patterns and outbreak control measures in China. Zbl 1057.92048
Zhang, Juan; Lou, Jie; Ma, Zhien; Wu, Jianhong
2005
System design for large-scale ion trap quantum information processor. Zbl 1175.81084
Kim, J.; Pau, S.; Ma, Z.; McLellan, H. R.; Gates, J. V.; Kornblit, A.; Slusher, R. E.; Jopson, R. M.; Kang, I.; Dinu, M.
2005
Global stability on an SIS epidemic model with time delays. Zbl 1070.92045
Yuan, Sanling; Ma, Zhien; Han, Maoan
2005
The existence of periodic solutions of the $$n$$-species Lotka-Volterra competition systems with impulsive. Zbl 1058.92046
Zhen, Jin; Ma, Zhien; Han, Maoan
2004
A discrete epidemic model for SARS transmission and control in China. Zbl 1066.92046
Zhou, Yicang; Ma, Zhien; Brauer, F.
2004
Global analysis of SIS epidemic models with variable total population size. Zbl 1065.92047
Li, Jianquan; Ma, Zhien
2004
Epidemiological models for mutating pathogens. Zbl 1088.34045
Li, Jia; Zhou, Yican; Ma, Zhien; Hyman, James M.
2004
Boundary value problems for first order impulsive delay differential equations with a parameter. Zbl 1056.34041
Zhang, Fengqin; Ma, Zhien; Yan, Jurang
2004
Stability switches in a class of characteristic equations with delay-dependent parameters. Zbl 1097.34055
Li, Jianquan; Ma, Zhien
2004
Stability analysis for SIS epidemic models with vaccination and constant population size. Zbl 1101.92041
Li, Jianquan; Ma, Zhien
2004
Global analysis of some epidemic models with general contact rate and constant immigration. Zbl 1070.92042
Li, Jianquan; Zhang, Juan; Ma, Zhien
2004
Persistence and periodic orbits for an SIS model in a polluted environment. Zbl 1064.92040
Wang, Feng; Ma, Zhien
2004
Optimal birth control problems for nonlinear age-structured population dynamics. Zbl 1100.92047
He, Z.-R.; Wang, M.-S.; Ma, Z.-E.
2004
Modelling the interaction of T-cells, antigen presenting cells, and HIV-1 in vivo. Zbl 1064.92027
Lou, Jie; Ma, Zhien; Shao, Yiming; Han, Litao
2004
The impact of the CD8+ cell non-cytotoxic antiviral response (CNAR) and cytotoxic T lymphocyte (CTL) activity in a cell-to-cell spread model for HIV-1 with a time delay. Zbl 1099.34048
Lou, Jie; Ma, Zhien; Li, Jianquan; Shao, Yiming; Han, Litao
2004
Global dynamics of an SEIR epidemic model with saturating contact rate. Zbl 1021.92040
Zhang, Juan; Ma, Zhien
2003
Stability analysis for differential infectivity epidemic models. Zbl 1025.92012
Ma, Zhien; Liu, Jianping; Li, Jia
2003
Competition in the chemostat: convergence of a model with delayed response in growth. Zbl 1036.92037
Yuan, Sanling; Han, Maoan; Ma, Zhien
2003
An SIRS epidemic model of two competitive species. Zbl 1022.92033
Han, Litao; Ma, Zhien; Shi, Tan
2003
Coexistence of pathogens in sexually-transmitted disease models. Zbl 1052.92047
Li, Jia; Ma, Zhien; Blythe, Steve P.; Castillo-Chavez, Carlos
2003
Persistence and periodic solution of a nonautonomous SIS model with delays. Zbl 1036.34074
Yuan, San-ling; Ma, Zhi-en; Jin, Zhen
2003
Stability of some epidemic models with passive immunity. Zbl 1051.34043
Lou, Jie; Ma, Zhien
2003
A SIR epidemic model with varying population size. Zbl 1162.92321
Jin, Zhen; Ma, Zhien; Yuan, Sanling
2003
A competition model of HIV with recombination effect. Zbl 1047.92043
Wang, Feng; Ma, Zhien; Shao, Yiming
2003
Nonlinear boundary value problems for first-order differential equations with piecewise constant arguments. Zbl 1057.34071
Zhang, Fengqin; Ma, Zhien
2003
Qualitative analyses of SIS epidemic model with vaccination and varying total population size. Zbl 1045.92039
Li, Jianquan; Ma, Zhien
2002
Periodic solutions for delay differential equations model of plankton allelopathy. Zbl 1094.34542
Zhen, Jin; Ma, Zhien
2002
Stability for a competitive Lotka-Volterra system with delays. Zbl 1015.34060
Zhen, Jin; Ma, Zhien
2002
The global stability analysis for an SIS model with age and infection age structures. Zbl 1022.92040
Zhou, Yicang; Song, Baojun; Ma, Zhien
2002
Dynamic behavior of the SEIS model with saturating contact rate. Zbl 0996.92033
Zhang, Juan; Ma, Zhi&rsquo;en
2002
Study on an SIS epidemic model with time variant delay. Zbl 1027.92021
Yuan, Sanling; Ma, Zhien
2002
Four predator prey models with infectious diseases. Zbl 0999.92032
Han, Litao; Ma, Zhien; Hethcote, H. W.
2001
Periodic boundary value problems and monotone iterative methods for first order impulsive differential equations with delay. Zbl 1003.34049
Zhang, Fengqin; Ma, Zhien; Yan, Jurang
2001
A kind of epidemic model having infectious force in both latent period and infected period. Zbl 1059.92509
Yuang, Sanling; Han, Litao; Ma, Zhien
2001
Global stability and Hopf bifurcation of an SIS epidemic model with time delays. Zbl 0988.92026
Yuan, Sanling; Ma, Zhien
2001
Thresholds of survival for an $$n$$-dimensional Volterra mutualistic system in a polluted environment. Zbl 0965.92030
Pan, Jinxiao; Jin, Zhen; Ma, Zhien
2000
Delayed innovation diffusion processes with positive and negative word-of-mouth. Zbl 0954.34068
Fergola, P.; Teneriello, C.; Ma, Z.; Petrillo, F.
2000
On the dynamics of a chemostat model with delayed nutrient recycling. Zbl 0946.92029
Fergola, Paolo; Jiang, Liqiang; Ma, Zhien
2000
Global existence of a positive periodic solution to a predator-prey system. Zbl 0978.34037
Yuan, Sanling; Jin, Zhen; Ma, Zhi&rsquo;en
2000
Harmless delays for uniform persistence. Zbl 0965.92028
Jin, Zhen; Ma, Zhien
2000
The survival analysis for Gallopin’s system in a polluted environment. Zbl 1033.92035
He, Zerong; Ma, Zhien
2000
Convergence in the chemostat model with delayed response in growth. Zbl 0966.92030
Wang, Wendi; Ma, Zhien
1999
Global stability of positive equilibrium of nonlinear age-structured population model. Zbl 0946.92025
Zhou, Yicang; Ma, Zhi&rsquo;en
1999
Permanence of a nonautonomous population model. Zbl 0940.92020
Wang, Wendi; Ma, Zhien
1998
Effects of toxicants on chemostat model with time variable nutrient input and washout. Zbl 0965.92031
Ma, Zhien; Guo, Sangang; Fergola, P.; Tenneriello, C.
1998
Uniform persistence of $$n$$-dimensional Lotka-Volterra competition systems with finite delay. Zbl 0984.92037
Jin, Zhen; Ma, Zhien
1998
The threshold of population survival in a polluted chemostat model. Zbl 1069.92520
Guo, Sangang; Ma, Zhien; Fergola, P.; Tenneriello, C.
1998
Stability of a chemostat model for a single species with delayed nutrient recycling – case of weak kernel function. Zbl 0923.92027
Jiang, Liqiang; Ma, Zhien
1998
The thresholds of survival for an $$n$$-dimensional food chain model in a polluted environment. Zbl 0905.92030
Ma, Zhien; Zong, Wengang; Luo, Zhixue
1997
Effects of toxicants on chemostat models with $$n$$ populations competing for a critical nutrient. Zbl 0873.92026
Wen, X.; Ma, Z.; Fergola, P.; Tenneriello, C.
1997
On the effect of pollution and catch to a logistic population. Zbl 0888.92037
He, Zerong; Ma, Zhien
1997
Polluted chemostat models with periodic nutrient and fluctuating toxicant input. Zbl 0881.92033
Fergola, P.; Tenneriello, C.; Ma, Z.; Wen, X.
1996
The threshold of population survival in a polluted chemostat model with double nutrient input. Zbl 1125.92321
Ma, Zhien; Guo, Sangang
1996
Uniform persistence in discrete semidynamical system and its application. Zbl 0908.54025
Wang, Wendi; Ma, Zhien
1995
The threshold of survival for predator-prey Volterra system of three species in a polluted environment. Zbl 0848.92020
Ma, Zhien; Luo, Zhixue; Jin, Zhen; Zhao, Hengbao
1995
The spiral method for the study of stability of a type of transcendental equation. Zbl 0863.65025
Li, Jianquan; Ma, Zhien
1995
An age-structured population dynamics model and its asymptotic behavior. Zbl 0925.92103
Li, Xiaorang; Ma, Zhien
1995
Permanence of populations in a polluted environment. Zbl 0817.92018
Wang, Wendi; Ma, Zhien
1994
An improved model of age-structured population dynamics. Zbl 0815.92015
Li, Xiaorang; Ma, Zhien
1994
The threshold of survival for system of two species in polluted environment. Zbl 0745.92028
Liu, Huaping; Ma, Zhien
1991
Global stability of Volterra models with time delay. Zbl 0760.34058
Weng, Xiaoqing; Ma, Zhien; Freedman, H. I.
1991
...and 8 more Documents
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#### Cited by 1,587 Authors

 34 Jiang, Daqing 34 Teng, Zhi-dong 29 Ma, Zhien 29 Xu, Rui 24 Chen, Lansun 23 Wang, Ke 22 Wang, Weiming 21 Jin, Zhen 21 Li, Jianquan 19 Liu, Meng 19 Meng, Xinzhu 17 Cai, Yongli 17 Li, Xuezhi 17 Zhang, Tailei 16 Hayat, Tasawar 16 Liu, Qun 15 Wang, Wendi 14 Huo, Hai-Feng 14 Yuan, Sanling 13 Chen, Fengde 13 Zhang, Fengqin 12 Al-saedi, Ahmed Eid Salem 12 Han, Maoan 12 Muroya, Yoshiaki 11 Enatsu, Yoichi 11 Zhou, Yicang 10 Cai, Liming 10 Gao, Shujing 10 Nakata, Yukihiko 9 Kar, Tapan Kumar 9 Liu, Junli 9 Ma, Wanbiao 9 Xiao, Yanni 9 Xu, Changjin 8 Chattopadhyay, Joydev 8 Dhar, Joydip 8 Feng, Guanghui 8 Ghosh, Mini 8 Hattaf, Khalid 8 Li, Zhong 8 Liu, Zhijun 8 Sun, Guiquan 8 Wang, Lingshu 8 Xia, Yonghui 8 Zhao, Hongyong 7 Abdurahman, Xamxinur 7 Bai, Zhenguo 7 Das, Krishnapada 7 Kumar, Abhishek 7 Lin, Yiping 7 Liu, Xianning 7 Nilam, Murray E. Alexander 7 Ruan, Shigui 7 Samanta, Guru Prasad 7 Song, Xinyu 7 Sun, Ji Tao 7 Yang, Junyuan 7 Yousfi, Noura 6 Cao, Hui 6 Chakraborty, Kunal 6 Chen, Yuming 6 Fu, Shengmao 6 He, Zerong 6 Lin, Zhigui 6 Liu, Gui Rong 6 Lu, Chun 6 Luo, Zhixue 6 Takeuchi, Yasuhiro 6 Tian, Xiaohong 6 Xue, Yakui 6 Yan, Jurang 6 Yang, Yali 6 Zhang, Tonghua 6 Zhao, Huitao 6 Zhu, Linhe 5 Bhattacharyya, Rakhi 5 Biswas, Santanu 5 Cao, Jinde 5 Cui, Jingan 5 Feng, Zhaosheng 5 Fergola, Paolo 5 Gan, Qintao 5 Gumel, Abba B. 5 Huang, Gang 5 Huang, Jicai 5 Jiang, Haijun 5 Khan, Muhammad Altaf 5 Kumar Upadhyay, Ranjit 5 Kuniya, Toshikazu 5 Li, Guihua 5 Li, Jia 5 Li, Yongkun 5 Liao, Maoxin 5 Liu, Zijian 5 Mukhopadhyay, Banibrata 5 Samanta, Sudip K. 5 Shi, Ningzhong 5 Tchuenche, Jean Michel 5 Wang, Jin 5 Xu, Jinhu ...and 1,487 more Authors
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#### Cited in 146 Serials

 100 Applied Mathematics and Computation 67 Nonlinear Analysis. Real World Applications 58 Chaos, Solitons and Fractals 55 Advances in Difference Equations 50 Journal of Mathematical Analysis and Applications 48 International Journal of Biomathematics 41 Abstract and Applied Analysis 38 Discrete Dynamics in Nature and Society 29 Computers & Mathematics with Applications 28 Applied Mathematical Modelling 27 Mathematical Biosciences 23 Journal of Applied Mathematics and Computing 23 Mathematical Biosciences and Engineering 22 Journal of Mathematical Biology 21 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 21 Nonlinear Dynamics 21 Journal of Theoretical Biology 20 Mathematical Methods in the Applied Sciences 20 Bulletin of Mathematical Biology 19 Communications in Nonlinear Science and Numerical Simulation 18 Journal of Biological Systems 17 Mathematical and Computer Modelling 15 Journal of the Franklin Institute 15 Physica A 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Applied Mathematics Letters 14 Journal of Biological Dynamics 13 Journal of Computational and Applied Mathematics 13 Discrete and Continuous Dynamical Systems. Series B 12 Complexity 10 Mathematical Problems in Engineering 9 Mathematics and Computers in Simulation 9 Journal of Applied Mathematics 9 Computational & Mathematical Methods in Medicine 8 Applicable Analysis 8 Differential Equations and Dynamical Systems 7 Applied Mathematics. Series B (English Edition) 7 Computational and Applied Mathematics 7 Nonlinear Analysis. Hybrid Systems 7 Mathematical Modelling of Natural Phenomena 7 Journal of Applied Analysis and Computation 6 Journal of Differential Equations 6 Ricerche di Matematica 6 Applied Mathematics and Mechanics. (English Edition) 6 Acta Mathematicae Applicatae Sinica. English Series 6 Journal of Difference Equations and Applications 6 International Journal of Applied and Computational Mathematics 5 Theoretical Population Biology 5 International Journal of Computer Mathematics 5 Journal of Dynamics and Differential Equations 5 Journal of Systems Science and Complexity 5 International Journal of Differential Equations 4 Rocky Mountain Journal of Mathematics 4 Acta Applicandae Mathematicae 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Journal of Nonlinear Science and Applications 4 ISRN Applied Mathematics 3 Stochastic Analysis and Applications 3 Journal of the Egyptian Mathematical Society 3 Chaos 3 Nonlinear Analysis. Modelling and Control 3 Dynamical Systems 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Communications on Pure and Applied Analysis 3 Mediterranean Journal of Mathematics 2 International Journal of Control 2 Journal of Engineering Mathematics 2 International Journal of Mathematics and Mathematical Sciences 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Mathematical Imaging and Vision 2 Journal of Nonlinear Science 2 Random Operators and Stochastic Equations 2 Annals of Mathematics and Artificial Intelligence 2 Journal of Mathematical Chemistry 2 Journal of Inequalities and Applications 2 Natural Resource Modeling 2 International Journal of Applied Mathematics and Computer Science 2 Qualitative Theory of Dynamical Systems 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Frontiers of Mathematics in China 2 Discrete and Continuous Dynamical Systems. Series S 2 Science China. Mathematics 2 Afrika Matematika 2 S$$\vec{\text{e}}$$MA Journal 2 Electronic Journal of Mathematical Analysis and Applications EJMAA 2 Journal of Mathematics 2 Mathematics 2 Journal of Function Spaces 1 International Journal of Systems Science 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Automatica 1 Information Sciences 1 Journal of the Korean Mathematical Society 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Mathematica Slovaca 1 Meccanica 1 Numerical Functional Analysis and Optimization ...and 46 more Serials
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#### Cited in 29 Fields

 1,039 Biology and other natural sciences (92-XX) 746 Ordinary differential equations (34-XX) 179 Dynamical systems and ergodic theory (37-XX) 135 Partial differential equations (35-XX) 94 Probability theory and stochastic processes (60-XX) 67 Numerical analysis (65-XX) 63 Systems theory; control (93-XX) 47 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 28 Operator theory (47-XX) 27 Difference and functional equations (39-XX) 16 Integral equations (45-XX) 13 Computer science (68-XX) 13 Operations research, mathematical programming (90-XX) 7 Combinatorics (05-XX) 6 Real functions (26-XX) 5 Statistics (62-XX) 4 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX)