# zbMATH — the first resource for mathematics

## Shuai, Zhisheng

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 Author ID: shuai.zhisheng Published as: Shuai, Z.; Shuai, Zhisheng External Links: MGP
 Documents Indexed: 31 Publications since 2001
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#### Co-Authors

 0 single-authored 17 van den Driessche, Pauline 6 Li, Michael Yi 4 Wang, Ke 3 Guo, Hongbin 3 Tien, Joseph H. 2 Bai, Ling 2 Eisenberg, Marisa C. 2 Heesterbeek, J. A. P. 2 Saad-Roy, Chadi M. 1 Bani-Yaghoub, Majid 1 Brauer, Fred 1 Chen, Ke-Qiu 1 Chen, Shanshan 1 Gautam, Raju 1 Hu, Wangyu 1 Huang, Weiqing 1 Ivanek, Renata 1 Lewis, Mark Alun 1 Li, Zhan 1 Li, Zhenbo 1 Luo, Haijun 1 Ma, Junling 1 Mohapatra, Ram Narayan 1 Moon, John W. 1 Porchia, Donald 1 Schülke, Lothar 1 Shi, Junping 1 Wang, Chuncheng 1 Wang, Lingling 1 Wang, Qifei 1 Willeboordse, Frederick H. 1 Wu, YiXiang 1 Yuan, Sanling 1 Zhang, Xiaoying
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#### Serials

 6 Journal of Mathematical Biology 3 Mathematical Biosciences 3 The Canadian Applied Mathematics Quarterly 2 Journal of Mathematical Analysis and Applications 2 Bulletin of Mathematical Biology 2 SIAM Journal on Applied Mathematics 2 Mathematical Biosciences and Engineering 2 Journal of Biological Dynamics 1 Physics Letters. A 1 Journal of Differential Equations 1 Proceedings of the American Mathematical Society 1 Journal of Physics A: Mathematical and General 1 Linear Algebra and its Applications 1 Electronic Journal of Differential Equations (EJDE) 1 Taiwanese Journal of Mathematics 1 Nonlinear Analysis. Real World Applications
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#### Fields

 29 Biology and other natural sciences (92-XX) 19 Ordinary differential equations (34-XX) 4 Combinatorics (05-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

29 Publications have been cited 1,037 times in 585 Documents Cited by Year
Global-stability problem for coupled systems of differential equations on networks. Zbl 1190.34063
Li, Michael Y.; Shuai, Zhisheng
2010
A graph-theoretic approach to the method of global Lyapunov functions. Zbl 1155.34028
Guo, Hongbin; Li, Michael Y.; Shuai, Zhisheng
2008
Global stability of the endemic equilibrium of multigroup SIR epidemic models. Zbl 1148.34039
Guo, Hongbin; Li, Michael Y.; Shuai, Zhisheng
2006
Global stability of multi-group epidemic models with distributed delays. Zbl 1175.92046
Li, Michael Y.; Shuai, Zhisheng; Wang, Chuncheng
2010
Optimal impulsive harvesting policy for single population. Zbl 1011.92052
Zhang, Xiaoying; Shuai, Zhisheng; Wang, Ke
2003
Global stability of infectious disease models using Lyapunov functions. Zbl 1308.34072
Shuai, Zhisheng; van den Driessche, P.
2013
Global dynamics of cholera models with differential infectivity. Zbl 1244.92040
Shuai, Zhisheng; van den Driessche, P.
2011
Dynamics of an age-of-infection cholera model. Zbl 1273.92050
Brauer, Fred; Shuai, Zhisheng; van den Driessche, P.
2013
Global dynamics of a general class of multistage models for infectious diseases. Zbl 1244.34075
Guo, Hongbin; Li, Michael Y.; Shuai, Zhisheng
2012
A cholera model in a patchy environment with water and human movement. Zbl 1309.92073
Eisenberg, Marisa C.; Shuai, Zhisheng; Tien, Joseph H.; van den Driessche, P.
2013
Extending the type reproduction number to infectious disease control targeting contacts between types. Zbl 1278.92031
Shuai, Zhisheng; Heesterbeek, J. A. P.; van den Driessche, P.
2013
Cholera models with hyperinfectivity and temporary immunity. Zbl 1312.92041
Shuai, Zhisheng; Tien, Joseph H.; van den Driessche, Pauline
2012
Global stability of an epidemic model in a patchy environment. Zbl 1216.34054
Li, Michael Y.; Shuai, Zhisheng
2009
Impact of heterogeneity on the dynamics of an SEIR epidemic model. Zbl 1260.92076
Shuai, Zhisheng; Van Den Driessche, P.
2012
Disease invasion on community networks with environmental pathogen movement. Zbl 1309.05088
Tien, Joseph H.; Shuai, Zhisheng; Eisenberg, Marisa C.; van den Driessche, P.
2015
Erratum to: “Extending the type reproduction number to infectious disease control targeting contacts between types”. Zbl 1312.92030
Shuai, Zhisheng; Heesterbeek, J. A. P.; van den Driessche, P.
2015
A general theory for target reproduction numbers with applications to ecology and epidemiology. Zbl 1415.92153
Lewis, Mark A.; Shuai, Zhisheng; van den Driessche, P.
2019
Models of Bovine Babesiosis including juvenile cattle. Zbl 1332.92074
Saad-Roy, C. M.; Shuai, Zhisheng; van den Driessche, P.
2015
Optimization problems for general simple population with $$n$$-impulsive harvest. Zbl 1105.92047
Shuai, Zhisheng; Bai, Ling; Wang, Ke
2007
Persistence and extinction of single population in a polluted environment. Zbl 1084.92032
Li, Zhan; Shuai, Zhisheng; Wang, Ke
2004
A mathematical model of syphilis transmission in an MSM population. Zbl 1358.92096
Saad-Roy, C. M.; Shuai, Zhisheng; van den Driessche, P.
2016
Walks and cycles on a digraph with application to population dynamics. Zbl 1290.05083
Moon, J. W.; Shuai, Zhisheng; van den Driessche, P.
2014
Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix. Zbl 1437.92114
Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang
2020
Disease invasion risk in a growing population. Zbl 1345.92159
Yuan, Sanling; van den Driessche, P.; Willeboordse, Frederick H.; Shuai, Zhisheng; Ma, Junling
2016
Discontinuity effect on the phonon transmission and thermal conductance in a dielectric quantum waveguide. Zbl 1136.81380
Huang, Wei-Qing; Chen, Ke-Qiu; Shuai, Z.; Wang, Lingling; Hu, Wangyu
2005
Optimal impulsive harvest policy for an autonomous system. Zbl 1052.92049
Bai, Ling; Shuai, Zhisheng; Wang, Ke
2004
Modelling and control of cholera on networks with a common water source. Zbl 1448.92340
Shuai, Zhisheng; van den Driessche, P.
2015
Reproduction numbers for infections with free-living pathogens growing in the environment. Zbl 1447.92395
Bani-Yaghoub, Majid; Gautam, Raju; Shuai, Zhisheng; van den Driessche, P.; Ivanek, Renata
2012
Critical exponents of the two-layer Ising model. Zbl 0984.82020
Li, Z. B.; Shuai, Z.; Wang, Q.; Luo, H. J.; Schülke, L.
2001
Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix. Zbl 1437.92114
Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang
2020
A general theory for target reproduction numbers with applications to ecology and epidemiology. Zbl 1415.92153
Lewis, Mark A.; Shuai, Zhisheng; van den Driessche, P.
2019
A mathematical model of syphilis transmission in an MSM population. Zbl 1358.92096
Saad-Roy, C. M.; Shuai, Zhisheng; van den Driessche, P.
2016
Disease invasion risk in a growing population. Zbl 1345.92159
Yuan, Sanling; van den Driessche, P.; Willeboordse, Frederick H.; Shuai, Zhisheng; Ma, Junling
2016
Disease invasion on community networks with environmental pathogen movement. Zbl 1309.05088
Tien, Joseph H.; Shuai, Zhisheng; Eisenberg, Marisa C.; van den Driessche, P.
2015
Erratum to: “Extending the type reproduction number to infectious disease control targeting contacts between types”. Zbl 1312.92030
Shuai, Zhisheng; Heesterbeek, J. A. P.; van den Driessche, P.
2015
Models of Bovine Babesiosis including juvenile cattle. Zbl 1332.92074
Saad-Roy, C. M.; Shuai, Zhisheng; van den Driessche, P.
2015
Modelling and control of cholera on networks with a common water source. Zbl 1448.92340
Shuai, Zhisheng; van den Driessche, P.
2015
Walks and cycles on a digraph with application to population dynamics. Zbl 1290.05083
Moon, J. W.; Shuai, Zhisheng; van den Driessche, P.
2014
Global stability of infectious disease models using Lyapunov functions. Zbl 1308.34072
Shuai, Zhisheng; van den Driessche, P.
2013
Dynamics of an age-of-infection cholera model. Zbl 1273.92050
Brauer, Fred; Shuai, Zhisheng; van den Driessche, P.
2013
A cholera model in a patchy environment with water and human movement. Zbl 1309.92073
Eisenberg, Marisa C.; Shuai, Zhisheng; Tien, Joseph H.; van den Driessche, P.
2013
Extending the type reproduction number to infectious disease control targeting contacts between types. Zbl 1278.92031
Shuai, Zhisheng; Heesterbeek, J. A. P.; van den Driessche, P.
2013
Global dynamics of a general class of multistage models for infectious diseases. Zbl 1244.34075
Guo, Hongbin; Li, Michael Y.; Shuai, Zhisheng
2012
Cholera models with hyperinfectivity and temporary immunity. Zbl 1312.92041
Shuai, Zhisheng; Tien, Joseph H.; van den Driessche, Pauline
2012
Impact of heterogeneity on the dynamics of an SEIR epidemic model. Zbl 1260.92076
Shuai, Zhisheng; Van Den Driessche, P.
2012
Reproduction numbers for infections with free-living pathogens growing in the environment. Zbl 1447.92395
Bani-Yaghoub, Majid; Gautam, Raju; Shuai, Zhisheng; van den Driessche, P.; Ivanek, Renata
2012
Global dynamics of cholera models with differential infectivity. Zbl 1244.92040
Shuai, Zhisheng; van den Driessche, P.
2011
Global-stability problem for coupled systems of differential equations on networks. Zbl 1190.34063
Li, Michael Y.; Shuai, Zhisheng
2010
Global stability of multi-group epidemic models with distributed delays. Zbl 1175.92046
Li, Michael Y.; Shuai, Zhisheng; Wang, Chuncheng
2010
Global stability of an epidemic model in a patchy environment. Zbl 1216.34054
Li, Michael Y.; Shuai, Zhisheng
2009
A graph-theoretic approach to the method of global Lyapunov functions. Zbl 1155.34028
Guo, Hongbin; Li, Michael Y.; Shuai, Zhisheng
2008
Optimization problems for general simple population with $$n$$-impulsive harvest. Zbl 1105.92047
Shuai, Zhisheng; Bai, Ling; Wang, Ke
2007
Global stability of the endemic equilibrium of multigroup SIR epidemic models. Zbl 1148.34039
Guo, Hongbin; Li, Michael Y.; Shuai, Zhisheng
2006
Discontinuity effect on the phonon transmission and thermal conductance in a dielectric quantum waveguide. Zbl 1136.81380
Huang, Wei-Qing; Chen, Ke-Qiu; Shuai, Z.; Wang, Lingling; Hu, Wangyu
2005
Persistence and extinction of single population in a polluted environment. Zbl 1084.92032
Li, Zhan; Shuai, Zhisheng; Wang, Ke
2004
Optimal impulsive harvest policy for an autonomous system. Zbl 1052.92049
Bai, Ling; Shuai, Zhisheng; Wang, Ke
2004
Optimal impulsive harvesting policy for single population. Zbl 1011.92052
Zhang, Xiaoying; Shuai, Zhisheng; Wang, Ke
2003
Critical exponents of the two-layer Ising model. Zbl 0984.82020
Li, Z. B.; Shuai, Z.; Wang, Q.; Luo, H. J.; Schülke, L.
2001
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#### Cited by 875 Authors

 47 Li, Wenxue 23 Wang, Jinliang 21 Wang, Ke 20 Jiang, Daqing 20 Kuniya, Toshikazu 19 van den Driessche, Pauline 19 Wang, Jin 18 Su, Huan 17 Shuai, Zhisheng 14 Wang, Xueying 10 Ding, Xiaohua 9 Li, Xuezhi 9 Muroya, Yoshiaki 9 Teng, Zhi-dong 9 Zhang, Chunmei 8 Liu, Shengqiang 8 Liu, Xianning 8 Nieto Roig, Juan Jose 8 Wu, Yongbao 8 Xu, Rui 7 Cao, Jinde 7 Feng, Jiqiang 7 Fu, Xinchu 7 Jin, Zhen 7 Li, Michael Yi 7 Liu, Meng 7 Liu, Qun 7 Qiu, Zhipeng 7 Tien, Joseph H. 7 Wang, Pengfei 6 Allen, Linda J. S. 6 Al-saedi, Ahmed Eid Salem 6 Chen, Lansun 6 Eisenberg, Marisa C. 6 Georgescu, Paul 6 Guo, Beibei 6 Li, Hongli 6 Saad-Roy, Chadi M. 6 Sun, Guiquan 6 Xiao, Yu 6 Xu, Jinhu 6 Xu, Yao 6 Zhang, Long 5 Chen, Yuming 5 Gao, Daozhou 5 Guo, Ying 5 Hayat, Tasawar 5 Ji, Chunyan 5 Jiang, Yaolin 5 Li, Mingtao 5 Ma, Junling 5 Pang, Jingmei 5 Posny, Drew 5 Shi, Ningzhong 5 Tian, Xiaohong 5 Zhang, Chiping 5 Zhang, Hong 5 Zhu, Huaiping 4 Bai, Chuanzhi 4 Cai, Liming 4 Chen, Tianrui 4 Dang, Yanxia 4 Dhar, Joydip 4 Fan, Dejun 4 Fan, Xiaoming 4 Geng, Yan 4 Gumel, Abba B. 4 Huo, Hai-Feng 4 Lenhart, Suzanne M. 4 Lin, Jiazhe 4 Lin, Yuguo 4 Martcheva, Maia 4 Misra, Om Prakash 4 Modnak, Chairat 4 O’Regan, Donal 4 Ruan, Shigui 4 Song, Xinyu 4 Sun, Mengfeng 4 Wang, Mengxin 4 Wang, Zhi Cheng 4 Wang, Zhigang 4 Wu, Boying 4 Yang, Chayu 4 Yang, Junyuan 4 Yang, Yu 4 Zhang, Fengqin 4 Zhang, Juan 4 Zhou, Yicang 3 Ahmad, Bashir 3 Alsharawi, Ziyad 3 Bichara, Derdei Mahamat 3 Braverman, Elena 3 Capone, Florinda 3 Chen, Shanshan 3 De Cataldis, Valentina 3 De Luca, Roberta 3 Ding, Deqiong 3 Enatsu, Yoichi 3 Feng, Xiaomei 3 Feng, Zhilan ...and 775 more Authors
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#### Cited in 104 Serials

 52 Applied Mathematics and Computation 32 Nonlinear Analysis. Real World Applications 25 Journal of the Franklin Institute 25 Journal of Mathematical Biology 25 Journal of Biological Dynamics 23 Mathematical Biosciences 22 Bulletin of Mathematical Biology 21 Journal of Mathematical Analysis and Applications 21 Mathematical Biosciences and Engineering 20 Advances in Difference Equations 18 Discrete and Continuous Dynamical Systems. Series B 16 International Journal of Biomathematics 12 Mathematical Methods in the Applied Sciences 12 Abstract and Applied Analysis 12 Nonlinear Analysis. Hybrid Systems 11 Chaos, Solitons and Fractals 10 Applicable Analysis 10 Journal of Biological Systems 9 Journal of Differential Equations 9 Applied Mathematical Modelling 8 Journal of Computational and Applied Mathematics 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Applied Mathematics Letters 7 Discrete Dynamics in Nature and Society 7 Communications in Nonlinear Science and Numerical Simulation 7 Journal of Theoretical Biology 6 Physica A 6 Automatica 6 SIAM Journal on Applied Mathematics 6 Chaos 5 Complexity 5 Nonlinear Dynamics 5 Journal of Applied Mathematics 5 Journal of Applied Analysis and Computation 4 Computers & Mathematics with Applications 4 Mathematics and Computers in Simulation 4 Acta Applicandae Mathematicae 4 Nonlinear Analysis. Modelling and Control 4 Journal of Applied Mathematics and Computing 4 Computational & Mathematical Methods in Medicine 3 Ricerche di Matematica 3 Linear Algebra and its Applications 3 Journal of Dynamics and Differential Equations 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Boundary Value Problems 2 Modern Physics Letters B 2 International Journal of Control 2 Stochastic Analysis and Applications 2 MCSS. Mathematics of Control, Signals, and Systems 2 Computational and Applied Mathematics 2 Mathematical Problems in Engineering 2 Methodology and Computing in Applied Probability 2 Journal of Nonlinear Science and Applications 1 Nonlinearity 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Optimization Theory and Applications 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Studies in Applied Mathematics 1 Systems & Control Letters 1 Physica D 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 International Journal of Robust and Nonlinear Control 1 Journal of the Egyptian Mathematical Society 1 Random Operators and Stochastic Equations 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Difference Equations and Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Discrete and Continuous Dynamical Systems 1 Mathematical Population Studies 1 Differential Equations and Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mathematica Sinica. English Series 1 Journal of Dynamical and Control Systems 1 Qualitative Theory of Dynamical Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Advances in Complex Systems 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Fuzzy Optimization and Decision Making 1 Applications and Applied Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Symmetry 1 Asian Journal of Control 1 Journal of Mathematics 1 Mathematics 1 International Journal of Engineering Mathematics 1 Journal of Mathematical Modeling 1 International Journal of Applied and Computational Mathematics ...and 4 more Serials
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#### Cited in 24 Fields

 450 Biology and other natural sciences (92-XX) 295 Ordinary differential equations (34-XX) 85 Systems theory; control (93-XX) 67 Partial differential equations (35-XX) 54 Probability theory and stochastic processes (60-XX) 46 Dynamical systems and ergodic theory (37-XX) 42 Combinatorics (05-XX) 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 16 Numerical analysis (65-XX) 12 Difference and functional equations (39-XX) 11 Integral equations (45-XX) 9 Operator theory (47-XX) 9 Operations research, mathematical programming (90-XX) 6 Real functions (26-XX) 6 Computer science (68-XX) 6 Information and communication theory, circuits (94-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX)