## Hsu, Sze-Bin

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 Author ID: hsu.sze-bin Published as: Hsu, S. B.; Hsu, Sze-Bin; Hsu, S.-B. more...less
 Documents Indexed: 22 Publications since 1977 Co-Authors: 12 Co-Authors with 15 Joint Publications 328 Co-Co-Authors
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### Co-Authors

 5 single-authored 11 Waltman, Paul Elvis 3 Hubbell, Stephen P. 2 Butler, Geoffrey J. 2 Smith, Hal Leslie 1 Junkins, John L. 1 Kurdila, Andrew J. 1 Li, Yen-Sheng 1 Lin, Chiu-Ju 1 López-Gómez, Julián 1 Luo, Ting-Kung 1 Mei, Linfeng 1 Molina-Meyer, Marcela 1 Shi, Junping 1 Wang, Feng-Bin
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### Serials

 5 Mathematical Biosciences 5 SIAM Journal on Applied Mathematics 4 Journal of Mathematical Biology 1 Transactions of the American Mathematical Society 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 The Canadian Applied Mathematics Quarterly 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications in Information and Systems 1 Discrete and Continuous Dynamical Systems. Series S
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### Fields

 20 Biology and other natural sciences (92-XX) 9 Ordinary differential equations (34-XX) 6 Dynamical systems and ergodic theory (37-XX) 3 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

22 Publications have been cited 1,118 times in 733 Documents Cited by Year
A mathematical theory for single-nutrient competition in continuous cultures of micro-organisms. Zbl 0354.92033
Hsu, S. B.; Hubbell, S.; Waltman, P.
1977
Limiting behavior for competing species. Zbl 0381.92014
Hsu, S. B.
1978
Competitive exclusion and coexistence for competitive systems on ordered Banach spaces. Zbl 0860.47033
Hsu, S. B.; Smith, H. L.; Waltman, Paul
1996
A mathematical model of the chemostat with periodic washout rate. Zbl 0584.92027
Butler, G. J.; Hsu, S. B.; Waltman, Paul
1985
Competing predators. Zbl 0394.92025
Hsu, S. B.; Hubbell, S. P.; Waltman, Paul
1978
On global stability of a predator-prey system. Zbl 0383.92014
Hsu, S. B.
1978
A competition model for a seasonally fluctuating nutrient. Zbl 0431.92027
Hsu, S. B.
1980
Competition in the chemostat when one competitor produces a toxin. Zbl 0982.92035
Hsu, S. B.; Waltman, Paul
1998
A survey of mathematical models of competition with an inhibitor. Zbl 1034.92034
Hsu, S.-B.; Waltman, Paul
2004
Analysis of a model of two competitors in a chemostat with an external inhibitor. Zbl 0788.34040
Hsu, S. B.; Waltman, P.
1992
Coexistence of competing predators in a chemostat. Zbl 0508.92019
Butler, G. J.; Hsu, S. B.; Waltman, P.
1983
Dynamics of competition in the unstirred chemostat. Zbl 0831.92028
Hsu, S. B.; Smith, H. L.; Waltman, Paul
1994
Competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor. Zbl 0835.92028
Hsu, S. B.; Luo, Ting-Kung; Waltman, Paul
1995
Competition in the presence of a lethal external inhibitor. Zbl 1009.92034
Hsu, S. B.; Li, Yen-Sheng; Waltman, Paul
2000
Predator-mediated coexistence and extinction. Zbl 0456.92020
Hsu, S. B.
1981
The application of the Poincaré-transform to the Lotka-Volterra model. Zbl 0389.92019
Hsu, S. B.
1978
Two predators competing for two prey species: An analysis of MacArthur’s model. Zbl 0437.92022
Hsu, S. B.; Hubbell, S. P.
1979
Further studies of a reaction-diffusion system for an unstirred chemostat with internal storage. Zbl 1304.35333
Hsu, Sze-Bin; Shi, Junping; Wang, Feng-Bin
2014
A nonlocal problem from conservation biology. Zbl 1323.92170
Hsu, S. B.; López-Gómez, J.; Mei, L.; Molina-Meyer, M.
2014
Dynamics of two phytoplankton species competing for light and nutrient with internal storage. Zbl 1336.92069
Hsu, Sze-Bin; Lin, Chiu-Ju
2014
Lypunov stable penalty methods for imposing holonomic constraints in multibody system dynamics. Zbl 0708.70013
Kurdila, A. J.; Junkins, J. L.; Hsu, S.
1990
Optimal motion estimation from multiple images by normalized epipolar constraint. Zbl 1111.68712
Ma, Y.; Vidal, R.; Hsu, S.; Sastry, S.
2001
Further studies of a reaction-diffusion system for an unstirred chemostat with internal storage. Zbl 1304.35333
Hsu, Sze-Bin; Shi, Junping; Wang, Feng-Bin
2014
A nonlocal problem from conservation biology. Zbl 1323.92170
Hsu, S. B.; López-Gómez, J.; Mei, L.; Molina-Meyer, M.
2014
Dynamics of two phytoplankton species competing for light and nutrient with internal storage. Zbl 1336.92069
Hsu, Sze-Bin; Lin, Chiu-Ju
2014
A survey of mathematical models of competition with an inhibitor. Zbl 1034.92034
Hsu, S.-B.; Waltman, Paul
2004
Optimal motion estimation from multiple images by normalized epipolar constraint. Zbl 1111.68712
Ma, Y.; Vidal, R.; Hsu, S.; Sastry, S.
2001
Competition in the presence of a lethal external inhibitor. Zbl 1009.92034
Hsu, S. B.; Li, Yen-Sheng; Waltman, Paul
2000
Competition in the chemostat when one competitor produces a toxin. Zbl 0982.92035
Hsu, S. B.; Waltman, Paul
1998
Competitive exclusion and coexistence for competitive systems on ordered Banach spaces. Zbl 0860.47033
Hsu, S. B.; Smith, H. L.; Waltman, Paul
1996
Competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor. Zbl 0835.92028
Hsu, S. B.; Luo, Ting-Kung; Waltman, Paul
1995
Dynamics of competition in the unstirred chemostat. Zbl 0831.92028
Hsu, S. B.; Smith, H. L.; Waltman, Paul
1994
Analysis of a model of two competitors in a chemostat with an external inhibitor. Zbl 0788.34040
Hsu, S. B.; Waltman, P.
1992
Lypunov stable penalty methods for imposing holonomic constraints in multibody system dynamics. Zbl 0708.70013
Kurdila, A. J.; Junkins, J. L.; Hsu, S.
1990
A mathematical model of the chemostat with periodic washout rate. Zbl 0584.92027
Butler, G. J.; Hsu, S. B.; Waltman, Paul
1985
Coexistence of competing predators in a chemostat. Zbl 0508.92019
Butler, G. J.; Hsu, S. B.; Waltman, P.
1983
Predator-mediated coexistence and extinction. Zbl 0456.92020
Hsu, S. B.
1981
A competition model for a seasonally fluctuating nutrient. Zbl 0431.92027
Hsu, S. B.
1980
Two predators competing for two prey species: An analysis of MacArthur’s model. Zbl 0437.92022
Hsu, S. B.; Hubbell, S. P.
1979
Limiting behavior for competing species. Zbl 0381.92014
Hsu, S. B.
1978
Competing predators. Zbl 0394.92025
Hsu, S. B.; Hubbell, S. P.; Waltman, Paul
1978
On global stability of a predator-prey system. Zbl 0383.92014
Hsu, S. B.
1978
The application of the Poincaré-transform to the Lotka-Volterra model. Zbl 0389.92019
Hsu, S. B.
1978
A mathematical theory for single-nutrient competition in continuous cultures of micro-organisms. Zbl 0354.92033
Hsu, S. B.; Hubbell, S.; Waltman, P.
1977
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### Cited by 847 Authors

 26 Hsu, Szebi 25 Chen, Lansun 22 Nie, Hua 21 Lou, Yuan 20 Wang, Feng-Bin 20 Wu, Jianhua 18 Smith, Hal Leslie 18 Waltman, Paul Elvis 18 Yuan, Sanling 16 Huang, Xuncheng 16 Wolkowicz, Gail S. K. 16 Zhao, Xiao-Qiang 14 Lam, King-Yeung 14 Zhu, Lemin 13 Freedman, Herbert Irving 13 Zhang, Tonghua 11 Hsu, Sze-Bin 11 Jiang, Daqing 11 Jiao, Jianjun 11 Ma, Wanbiao 11 Meng, Xinzhu 11 Pang, Guoping 10 Cai, Shaohong 10 Shi, Junping 10 Wang, Fengyan 8 Sari, Tewfik 8 Sun, Shulin 8 Xu, Chaoqun 7 Grover, James P. 7 Kooi, Bob W. 7 Kuang, Yang 7 Pavlou, Stavros 7 Rapaport, Alain 7 Teng, Zhi-dong 6 Cantrell, Robert Stephen 6 Jiang, Jifa 6 Li, Bingtuan 6 Mukherjee, Debasis 6 Ruan, Shigui 6 So, Joseph Wai-Hung 6 Song, Xinyu 6 Zhou, Peng 5 Ballyk, Mary M. 5 Braselton, James P. 5 Braverman, Elena 5 Cosner, Chris 5 Guo, Songbai 5 Li, Zuxiong 5 Mu, Chunlai 5 Muratori, Simona 5 Pal, Samaresh 5 Rao, Vadrevu Sree Hari 5 Rinaldi, Sergio 5 Takeuchi, Yasuhiro 5 Tang, Betty K. P. 5 Wang, Liang 5 Wei, Junjie 5 Wu, YiXiang 5 Zhao, Zhong 5 Zheng, Pan 4 Ackleh, Azmy S. 4 Bhattacharyya, Joydeb 4 Butler, Geoffrey J. 4 Chen, Chiun-Chuan 4 Chen, Shanshan 4 El-Owaidy, Hassan Mostafa 4 Gao, Miaomiao 4 Han, Maoan 4 Hung, Li-Chang 4 Jiang, Danhua 4 Klausmeier, Christopher A. 4 Li, Michael Yi 4 Liang, Xing 4 Lu, Zhengyi 4 Ma, Zhien 4 Madec, Sten 4 Mazenc, Frédéric 4 Pilyugin, Sergei S. 4 Shuai, Zhisheng 4 Vayenas, D. V. 4 Wang, Hao 4 Wang, Jinfeng 4 Wang, Lin 4 Xiao, Dongmei 4 Yuan, Rong 4 Zhang, Shuwen 4 Zhang, Tongqian 3 Abell, Martha L. 3 Baltzis, Basil C. 3 Bar, Bachir 3 Boer, Martin P. 3 Braselton, Lorraine M. 3 Dellal, Mohamed 3 Farkas, Miklós 3 Fekih-Salem, Radhouane 3 Fergola, Paolo 3 Geritz, Stefan A. H. 3 Hirsch, Morris W. 3 Jiang, Hongyan 3 Jing, Zhujun ...and 747 more Authors
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### Cited in 115 Serials

 75 Mathematical Biosciences 63 Journal of Mathematical Biology 38 Nonlinear Analysis. Real World Applications 35 Discrete and Continuous Dynamical Systems. Series B 34 Journal of Mathematical Analysis and Applications 32 Journal of Differential Equations 31 Journal of Mathematical Chemistry 26 Applied Mathematics and Computation 23 Journal of Theoretical Biology 20 Chaos, Solitons and Fractals 17 Bulletin of Mathematical Biology 15 Mathematical Biosciences and Engineering 14 Theoretical Population Biology 12 Journal of Dynamics and Differential Equations 12 International Journal of Biomathematics 11 Computers & Mathematics with Applications 11 Applied Mathematical Modelling 11 Advances in Difference Equations 10 SIAM Journal on Applied Mathematics 10 Journal of Biological Systems 9 Physica A 9 Mathematical and Computer Modelling 9 Journal of Applied Mathematics and Computing 9 Journal of Biological Dynamics 8 Applied Mathematics Letters 8 Discrete Dynamics in Nature and Society 7 Rocky Mountain Journal of Mathematics 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Communications in Nonlinear Science and Numerical Simulation 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Discrete and Continuous Dynamical Systems 5 Mathematical Methods in the Applied Sciences 5 Acta Mathematicae Applicatae Sinica. English Series 4 Applicable Analysis 4 Journal of Difference Equations and Applications 4 Chaos 4 SIAM Journal on Applied Dynamical Systems 4 Nonlinear Analysis. Hybrid Systems 3 Journal of the Franklin Institute 3 Proceedings of the American Mathematical Society 3 Applied Mathematics and Mechanics. (English Edition) 3 Acta Applicandae Mathematicae 3 Calculus of Variations and Partial Differential Equations 3 Complexity 3 Differential Equations and Dynamical Systems 3 Nonlinear Dynamics 3 Communications on Pure and Applied Analysis 3 Journal of Applied Analysis and Computation 3 Nonlinear Analysis. Theory, Methods & Applications 2 Nonlinearity 2 Automatica 2 Journal of Functional Analysis 2 Quarterly of Applied Mathematics 2 Transactions of the American Mathematical Society 2 Japan Journal of Industrial and Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Abstract and Applied Analysis 2 Journal of Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mathematical Modelling of Natural Phenomena 2 Discrete and Continuous Dynamical Systems. Series S 2 Differential Equations and Applications 2 Science China. Mathematics 1 Artificial Intelligence 1 Communications on Pure and Applied Mathematics 1 International Journal of Systems Science 1 Journal of Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Tamkang Journal of Mathematics 1 Acta Mathematica Hungarica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 European Journal of Applied Mathematics 1 Computational Mathematics and Modeling 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Nonlinear Science 1 Applied Mathematics. Series B (English Edition) 1 Mathematical Problems in Engineering 1 Journal of Inequalities and Applications 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Far East Journal of Applied Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Natural Resource Modeling 1 International Journal of Applied Mathematics and Computer Science 1 Lobachevskii Journal of Mathematics 1 The ANZIAM Journal ...and 15 more Serials
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### Cited in 28 Fields

 673 Biology and other natural sciences (92-XX) 385 Ordinary differential equations (34-XX) 178 Partial differential equations (35-XX) 150 Dynamical systems and ergodic theory (37-XX) 27 Numerical analysis (65-XX) 26 Systems theory; control (93-XX) 23 Probability theory and stochastic processes (60-XX) 15 Difference and functional equations (39-XX) 15 Operator theory (47-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Integral equations (45-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Statistical mechanics, structure of matter (82-XX) 4 Fluid mechanics (76-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX)