## Hsu, Szebi

Compute Distance To:
 Author ID: hsu.szebi Published as: Hsu, Sze-Bi; Hsu, Szebi
 Documents Indexed: 114 Publications since 1980, including 4 Books 3 Contributions as Editor Co-Authors: 81 Co-Authors with 108 Joint Publications 3,141 Co-Co-Authors
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### Co-Authors

 6 single-authored 22 Wang, Feng-Bin 14 Chen, Goong 10 Zhou, Jianxin 9 Zhao, Xiao-Qiang 8 Hwang, Tzy-Wei 6 Du, Yihong 5 Kuang, Yang 5 Nie, Hua 5 Waltman, Paul Elvis 3 Cheng, Kuo-Shung 3 Grover, James P. 3 Hsieh, Ying-Hen 3 Hwang, Shin-Feng 3 Jiang, Jifa 3 Lou, Yuan 3 Mei, Linfeng 3 Roeger, Lih-Ing Wu 3 Yang, Ya-Tang 2 Afraimovich, Valentin S. 2 Chen, Zhenzhen 2 Fiedler, Bernold 2 Huang, Yu 2 Hubbell, Stephen P. 2 Lin, Chiu-Ju 2 Liu, Tai-Ping 2 Ni, Wei-Ming 2 Roque-Sol, Marco A. 2 Ruan, Shigui 2 Wu, Jianhua 2 Yang, Ting-Hui 1 Almocera, Alexis Erich S. 1 Chen, Cathy W. S. 1 Chen, Guanrong 1 Chen, Yuyun 1 Chi, Chia-Wei 1 Chiu, Chuang-Hsiung 1 Crosta, Giovanni F. 1 Deng, Bo 1 Ding, Zhonghai 1 Duan, Xiaochen 1 Ellermeyer, Sean F. 1 Feng, Zhaosheng 1 Friedman, Avner 1 Gong, Ruey-Tarng 1 Han, Maoan 1 He, Xiaoqing 1 Ho, Mei-Shang 1 Ho, Yi-Hui 1 Hsieh, Chih-Hao 1 Hsu, Ting-Hao 1 Huang, Tingwen 1 Jin, Yu 1 Junkins, John L. 1 Kim, Moochan B. 1 King, Chwan-Chuan 1 Klausmeier, Christopher A. 1 Kurdila, Andrew J. 1 Lai, Hang-Chin 1 Lam, King-Yeung 1 Li, Cheng-Che 1 Li, Ming-Chia 1 Lin, Hsiu-Hau 1 Lin, Hueyer 1 Lin, Lai-Jiu 1 Lin, Song-Sun 1 Liu, Weishi 1 Liu, Zhihua 1 López-Gómez, Julián 1 Luo, Ting-Kung 1 Magal, Pierre 1 Malkin, Mikhail Iosifovich 1 Shi, Junping 1 Smith, Hal Leslie 1 Sun, I-Fang 1 Sy, Polly Wee 1 Takahashi, Wataru 1 Tanaka, Tamaki 1 Tzeng, Yun-Huei 1 Wang, Wendi 1 Wolkowicz, Gail S. K. 1 Wu, Lih-Ing 1 Wu, Yi-Chun 1 Yao, Jen-Chih 1 Yoshiyama, Kohei 1 Zhou, Hui
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### Serials

 14 Discrete and Continuous Dynamical Systems. Series B 13 Journal of Mathematical Biology 10 SIAM Journal on Applied Mathematics 9 Journal of Differential Equations 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Journal of Mathematical Analysis and Applications 6 SIAM Journal on Mathematical Analysis 6 Taiwanese Journal of Mathematics 3 Mathematical Biosciences 3 The Canadian Applied Mathematics Quarterly 3 Communications on Pure and Applied Analysis 2 Journal of Mathematical Physics 2 Bulletin of Mathematical Biology 2 Bulletin of the Institute of Mathematics. Academia Sinica 2 Discrete and Continuous Dynamical Systems 2 Mathematical Biosciences and Engineering 2 Series on Applied Mathematics (Singapore) 2 Journal of Theoretical Biology 1 Communications on Pure and Applied Mathematics 1 Matimyás Matematika 1 Hiroshima Mathematical Journal 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Tamkang Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Differential and Integral Equations 1 Journal of Dynamics and Differential Equations 1 Chaos 1 Communications in Information and Systems 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 AMS/IP Studies in Advanced Mathematics
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### Fields

 85 Biology and other natural sciences (92-XX) 60 Ordinary differential equations (34-XX) 41 Partial differential equations (35-XX) 40 Dynamical systems and ergodic theory (37-XX) 10 Mechanics of deformable solids (74-XX) 6 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Mechanics of particles and systems (70-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

92 Publications have been cited 2,160 times in 1,452 Documents Cited by Year
Global stability for a class of predator-prey systems. Zbl 0832.34035
Hsu, Sze-Bi; Huang, Tzy-Wei
1995
Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system. Zbl 0984.92035
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
2001
A diffusive predator-prey model in heterogeneous environment. Zbl 1330.35467
Du, Yihong; Hsu, Sze-Bi
2004
Spreading speeds and traveling waves for nonmonotone integrodifference equations. Zbl 1160.37031
Hsu, Sze-Bi; Zhao, Xiao-Qiang
2008
A ratio-dependent food chain model and its applications to biological control. Zbl 1036.92033
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
2003
Rich dynamics of a ratio-dependent one-prey two-predators model. Zbl 1007.34054
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
2001
On a system of reaction-diffusion equations arising from competition in an unstirred chemostat. Zbl 0784.92024
Hsu, Sze-Bi; Waltman, P.
1993
Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span. Zbl 0959.37027
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
1998
Some results on global stability of a predator-prey system. Zbl 0464.92021
Cheng, Kuo-Shung; Hsu, Sze-Bi; Lin, Song-Sun
1981
A survey of constructing Lyapunov functions for mathematical models in population biology. Zbl 1087.34031
Hsu, Sze-Bi
2005
Single phytoplankton species growth with light and advection in a water column. Zbl 1210.35265
Hsu, Sze-Bi; Lou, Yuan
2010
Exploitative competition of microorganisms for two complementary nutrients in continuous cultures. Zbl 0498.92014
Hsu, Sze-Bi; Cheng, Kuo-Shung; Hubbell, S. P.
1981
Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. I: Controlled hysteresis (with Appendix by Guanrong Chen and Giovanni Crosta). Zbl 0916.35065
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
1998
On a nonlocal reaction-diffusion problem arising from the modeling of phytoplankton growth. Zbl 1211.35261
Du, Yihong; Hsu, Sze-Bi
2010
Lectures on chaotic dynamical systems. Zbl 1152.37300
Afraimovich, Valentin; Hsu, Sze-Bi
2003
Dynamics of a periodically pulsed bio-reactor model with a hydraulic storage zone. Zbl 1242.35208
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2011
Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. II: Energy injection, period doubling and homoclinic orbits. Zbl 0938.35088
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
1998
On the asymmetric May-Leonard model of three competing species. Zbl 0919.92036
Chi, Chia-Wei; Hsu, Sze-Bi; Wu, Lih-Ing
1998
Global dynamics of zooplankton and harmful algae in flowing habitats. Zbl 1286.35129
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2013
Analysis of three species Lotka-Volterra food web models with omnivory. Zbl 1333.92046
Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui
2015
Global dynamics of a predator-prey model with Hassell-Varley type functional response. Zbl 1160.34046
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
2008
Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. III: Natural hysteresis memory effects. Zbl 0938.35089
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
1998
Extinction of top-predator in a three-level food-chain model. Zbl 0908.92029
Chiu, Chuang-Hsiung; Hsu, Sze-Bi
1998
Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type. Zbl 0935.34035
Hsu, Sze-Bi; Hwang, Tzy-Wei
1999
On a system of reaction-diffusion equations arising from competition with internal storage in an unstirred chemostat. Zbl 1185.92089
Hsu, Sze-Bi; Jiang, Jifa; Wang, Feng-Bin
2010
Nonisotropic spatiotemporal chaotic vibration of the wave equation due to mixing energy transport and a van der Pol boundary condition. Zbl 1044.37019
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
2002
Theoretical and experimental investigations of microbial competition in continuous culture. Zbl 0442.92015
Waltman, Paul; Hubbell, Stephen P.; Hsu, Sze-Bi
1980
Relaxation oscillation profile of limit cycle in predator-prey system. Zbl 1176.34049
Hsu, Sze-Bi; Shi, Junping
2009
Uniqueness of limit cycles for a predator-prey system of Holling and Leslie type. Zbl 0981.92036
Hsu, Sze-Bi; Hwang, Tzy-Wei
1998
Global analysis of a model of plasmid-bearing, plasmid-free competition in a chemostat. Zbl 0802.92027
Hsu, Sze-Bi; Waltman, Paul; Wolkowicz, Gail S. K.
1994
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. I: Existence. Zbl 1168.35347
Du, Yihong; Hsu, Sze-Bi
2008
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. II: Limiting profile. Zbl 1168.35348
Du, Yihong; Hsu, Sze-Bi
2008
A remark on the period of the periodic solution in the Lotka-Volterra system. Zbl 0515.92020
Hsu, Sze-Bi
1983
Competitive exclusion of microbial species for a single nutrient with internal storage. Zbl 1151.92033
Hsu, Sze-Bi; Hsu, Ting-Hao
2008
Competition and coexistence in flowing habitats with a hydraulic storage zone. Zbl 1176.92052
Grover, James P.; Hsu, Sze-Bi; Wang, Feng-Bin
2009
A remark on the global asymptotic stability of a dynamical system modeling two species competition. Zbl 0806.92016
Hsu, Sze-Bi; Waltman, Paul; Ellermeyer, Sean F.
1994
Global analysis of a model of plasmid-bearing, plasmid-free competition in a chemostat with inhibitions. Zbl 0840.92028
Luo, Ting-Kung; Hsu, Sze-Bi
1995
Coexistence solutions of a competition model with two species in a water column. Zbl 1334.35129
Nie, Hua; Hsu, Sze-Bi; Wu, Jianhua
2015
A Lotka-Volterra competition model with seasonal succession. Zbl 1284.34054
Hsu, Sze-Bi; Zhao, Xiao-Qiang
2012
Analyzing displacement term’s memory effect in a van der Pol type boundary condition to prove chaotic vibration of the wave equation. Zbl 1042.35032
Chen, Goong; Hsu, Sze-Bi; Huang, Tingwen
2002
On the dynamics of two-consumers-one-resource competing systems with Beddington-DeAngelis functional response. Zbl 1371.37140
Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui
2013
Competition between microorganisms for a single limiting resource with cell quota structure and spatial variation. Zbl 1252.37020
Grover, James P.; Hsu, Sze-Bi; Wang, Feng-Bin
2012
Algal competition in a water column with excessive dioxide in the atmosphere. Zbl 1338.35439
Nie, Hua; Hsu, Sze-Bi; Grover, J. P.
2016
Chaotic behavior of three competing species of May-Leonard model under small periodic perturbations. Zbl 1090.92508
Afraimovich, Valentin S.; Hsu, Sze-Bi; Lin, Huey-Er
2001
A reaction-diffusion-advection model of harmful algae growth with toxin degradation. Zbl 1337.35012
Wang, Feng-Bin; Hsu, Sze-Bi; Zhao, Xiao-Qiang
2015
A model of the effect of anti-competitor toxins on plasmid-bearing, plasmid-free competition. Zbl 1029.34038
Hsu, Sze-Bi; Waltman, Paul
2002
On a resource based ecological competition model with interference. Zbl 0453.92016
Hsu, Sze-Bi
1981
A reaction-diffusion model of harmful algae and zooplankton in an ecosystem. Zbl 1378.35313
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2017
A qualitative study of the damped Duffing equation and applications. Zbl 1122.34001
Feng, Zhaosheng; Chen, Goong; Hsu, Szebi
2006
Modeling intervention measures and severity-dependent public response during severe acute respiratory syndrome outbreak. Zbl 1087.92053
Hsu, Sze-Bi; Hsieh, Ying-Hen
2005
On the role of asymptomatic infection in transmission dynamics of infectious diseases. Zbl 1281.92060
Hsu, Sze-Bi; Hsieh, Ying-Hen
2008
The final size of a SARS epidemic model without quarantine. Zbl 1113.92055
Hsu, Sze-Bi; Roeger, Lih-Ing W.
2007
Plasmid-bearing, plasmid-free organisms competing for two complementary nutrients in a chemostat. Zbl 1020.92029
Hsu, Sze-Bi; Tzeng, Yun-Huei
2002
Steady-state solutions of a reaction-diffusion system arising from intraguild predation and internal storage. Zbl 1411.35166
Nie, Hua; Hsu, Sze-Bi; Wang, Feng-Bin
2019
Single species growth consuming inorganic carbon with internal storage in a poorly mixed habitat. Zbl 1384.35137
Hsu, Sze-Bi; Lam, King-Yeung; Wang, Feng-Bin
2017
Multiple steady-states in phytoplankton population induced by photoinhibition. Zbl 1330.92104
Du, Yihong; Hsu, Sze-Bi; Lou, Yuan
2015
Ordinary differential equations with applications. 2nd ed. Zbl 1285.34001
Hsu, Sze-Bi
2013
A pivotal eigenvalue problem in river ecology. Zbl 1326.35403
Hsu, Sze-Bi; López-Gómez, Julián; Mei, Linfeng; Wang, Feng-Bin
2015
On a nonlocal reaction-diffusion-advection system modelling the growth of phytoplankton with cell quota structure. Zbl 1321.35090
Hsu, Sze-Bi; Mei, Linfeng; Wang, Feng-Bin
2015
A discrete-delayed model with plasmid-bearing, plasmid-free competition in a chemostat. Zbl 1090.34063
Hsu, Sze-Bi; Li, Cheng-Che
2005
Reaction-diffusion equations of two species competing for two complementary resources with internal storage. Zbl 1222.35101
Hsu, Sze-Bi; Jiang, Jifa; Wang, Feng-Bin
2011
Nonlinear singular Sturm-Liouville problems and an application to transonic flow through a nozzle. Zbl 0693.34016
Hsu, Sze-Bi; Liu, Tai-Ping
1990
Dynamics of harmful algae with seasonal temperature variations in the cove-main lake. Zbl 1330.34079
Wang, Wendi; Hsu, Sze-Bi; Wang, Feng-Bin
2016
Growth of single phytoplankton species with internal storage in a water column. Zbl 1330.35474
Mei, Linfeng; Hsu, Sze-Bi; Wang, Feng-Bin
2016
Competition for two essential resources with internal storage and periodic input. Zbl 1363.34133
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2016
Non-periodicity in chemostat equations: a multi-dimensional negative Bendixson-Dulac criterion. Zbl 1231.92061
Fiedler, Bernold; Hsu, Sze-Bi
2009
Ordinary differential equations with applications. Zbl 1120.34002
Hsu, Sze-Bi
2006
Linear superposition of chaotic and orderly vibrations on two serially connected strings with a van der Pol joint. Zbl 0886.73026
Chen, Goong; Zhou, Jianxin; Hsu, Sze-Bi
1996
The morbidostat: a bio-reactor that promotes selection for drug resistance in bacteria. Zbl 1362.92040
Chen, Zhenzhen; Hsu, Sze-Bi; Yang, Ya-Tang
2017
Chaotic vibration of the wave equation with nonlinear feedback boundary control: progress and open questions. Zbl 1043.35035
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
2003
Heteroclinic foliation, global oscillations for the Nicholson-Bailey model and delay of stability loss. Zbl 1044.37036
Hsu, Sze-Bi; Li, Ming-Chia; Liu, Weishi; Malkin, Mikhail
2003
On a mathematical model arising from competition of phytoplankton species for a single nutrient with internal storage: steady state analysis. Zbl 1229.92074
Hsu, Sze-Bi; Wang, Feng-Bin
2011
Dynamics of phytoplankton communities under photoinhibition. Zbl 1272.92051
Hsu, Sze-Bi; Lin, Chiu-Ju; Hsieh, Chih-Hao; Yoshiyama, Kohei
2013
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 competition model with dynamically allocated toxin production in the unstirred chemostat. Zbl 1360.35302
Nie, Hua; Hsu, Sze-Bi; Wu, Jianhua
2017
Numerical proof for chemostat chaos of Shilnikov’s type. Zbl 1390.34127
Deng, Bo; Han, Maoan; Hsu, Sze-Bi
2017
Steady states of a system of partial differential equations modeling microbial ecology. Zbl 0522.92024
Hsu, Sze-Bi
1983
Mathematical analysis of a Bohr atom model. Zbl 1111.81157
Chen, Goong; Ding, Zhonghai; Hsu, Sze-Bi; Kim, Moochan; Zhou, Jianxin
2006
Global dynamics of a reaction-diffusion system with intraguild predation and internal storage. Zbl 1428.35168
Nie, Hua; Hsu, Sze-Bi; Wang, Feng-Bin
2020
Optimal motion estimation from multiple images by normalized epipolar constraint. Zbl 1111.68712
Ma, Y.; Vidal, R.; Hsu, S.; Sastry, S.
2001
Analysis of large deformation of a heavy cantilever. Zbl 0653.73023
Hsu, Sze-Bi; Hwang, Shin-Feng
1988
A Holling predator-prey model with handling and searching predators. Zbl 1450.34033
Hsu, Sze-Bi; Liu, Zhihua; Magal, Pierre
2020
The spectrum of chaotic time series. I: Fourier analysis. Zbl 1248.37072
Chen, Goong; Hsu, Sze-Bi; Huang, Yu; Roque-Sol, Marco A.
2011
The spectrum of chaotic time series. II: Wavelet analysis. Zbl 1248.37034
Chen, Goong; Hsu, Sze-Bi; Huang, Yu; Roque-Sol, Marco A.
2011
Theory of a microfluidic serial dilution bioreactor for growth of planktonic and biofilm populations. Zbl 1337.37068
Hsu, Sze-Bi; Yang, Ya-Tang
2016
Analysis of a model of two parallel food chains. Zbl 1182.34068
Hsu, Sze-Bi; Klausmeier, Christopher A.; Lin, Chiu-Ju
2009
Mathematical analysis of two microbial species competing for two complementary resources with internal storage and different removal rates. Zbl 1170.92341
Hsu, Sze-Bi; Wang, Feng-Bin
2008
The continuous morbidostat: a chemostat with controlled drug application to select for drug resistance mutants. Zbl 1426.92032
Chen, Zhenzhen; Hsu, Sze-Bi; Yang, Ya-Tang
2020
On the asymptotic behavior of solutions of $$v''(x)+x\,\sin \,v(x)=0$$. Zbl 0682.34043
Ni, Wei-Ming; Hsu, Sze-Bi
1988
Impact of quarantine on the 2003 SARS outbreak: a retrospective modeling study. Zbl 1450.92050
Hsieh, Ying-Hen; King, Chwan-Chuan; Chen, Cathy W. S.; Ho, Mei-Shang; Hsu, Sze-Bi; Wu, Yi-Chun
2007
Mathematical analysis on a droop model with intraguild predation. Zbl 1415.34089
Hsu, Sze-Bi; Ho, Yi-Hui; Wang, Feng-Bin
2019
A refuge-mediated apparent competition model. Zbl 1241.92074
Hsu, Sze-Bi; Roeger, Lih-Ing Wu
2011
Global dynamics of a reaction-diffusion system with intraguild predation and internal storage. Zbl 1428.35168
Nie, Hua; Hsu, Sze-Bi; Wang, Feng-Bin
2020
A Holling predator-prey model with handling and searching predators. Zbl 1450.34033
Hsu, Sze-Bi; Liu, Zhihua; Magal, Pierre
2020
The continuous morbidostat: a chemostat with controlled drug application to select for drug resistance mutants. Zbl 1426.92032
Chen, Zhenzhen; Hsu, Sze-Bi; Yang, Ya-Tang
2020
Steady-state solutions of a reaction-diffusion system arising from intraguild predation and internal storage. Zbl 1411.35166
Nie, Hua; Hsu, Sze-Bi; Wang, Feng-Bin
2019
Mathematical analysis on a droop model with intraguild predation. Zbl 1415.34089
Hsu, Sze-Bi; Ho, Yi-Hui; Wang, Feng-Bin
2019
A reaction-diffusion model of harmful algae and zooplankton in an ecosystem. Zbl 1378.35313
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2017
Single species growth consuming inorganic carbon with internal storage in a poorly mixed habitat. Zbl 1384.35137
Hsu, Sze-Bi; Lam, King-Yeung; Wang, Feng-Bin
2017
The morbidostat: a bio-reactor that promotes selection for drug resistance in bacteria. Zbl 1362.92040
Chen, Zhenzhen; Hsu, Sze-Bi; Yang, Ya-Tang
2017
A competition model with dynamically allocated toxin production in the unstirred chemostat. Zbl 1360.35302
Nie, Hua; Hsu, Sze-Bi; Wu, Jianhua
2017
Numerical proof for chemostat chaos of Shilnikov’s type. Zbl 1390.34127
Deng, Bo; Han, Maoan; Hsu, Sze-Bi
2017
Algal competition in a water column with excessive dioxide in the atmosphere. Zbl 1338.35439
Nie, Hua; Hsu, Sze-Bi; Grover, J. P.
2016
Dynamics of harmful algae with seasonal temperature variations in the cove-main lake. Zbl 1330.34079
Wang, Wendi; Hsu, Sze-Bi; Wang, Feng-Bin
2016
Growth of single phytoplankton species with internal storage in a water column. Zbl 1330.35474
Mei, Linfeng; Hsu, Sze-Bi; Wang, Feng-Bin
2016
Competition for two essential resources with internal storage and periodic input. Zbl 1363.34133
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2016
Theory of a microfluidic serial dilution bioreactor for growth of planktonic and biofilm populations. Zbl 1337.37068
Hsu, Sze-Bi; Yang, Ya-Tang
2016
Analysis of three species Lotka-Volterra food web models with omnivory. Zbl 1333.92046
Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui
2015
Coexistence solutions of a competition model with two species in a water column. Zbl 1334.35129
Nie, Hua; Hsu, Sze-Bi; Wu, Jianhua
2015
A reaction-diffusion-advection model of harmful algae growth with toxin degradation. Zbl 1337.35012
Wang, Feng-Bin; Hsu, Sze-Bi; Zhao, Xiao-Qiang
2015
Multiple steady-states in phytoplankton population induced by photoinhibition. Zbl 1330.92104
Du, Yihong; Hsu, Sze-Bi; Lou, Yuan
2015
A pivotal eigenvalue problem in river ecology. Zbl 1326.35403
Hsu, Sze-Bi; López-Gómez, Julián; Mei, Linfeng; Wang, Feng-Bin
2015
On a nonlocal reaction-diffusion-advection system modelling the growth of phytoplankton with cell quota structure. Zbl 1321.35090
Hsu, Sze-Bi; Mei, Linfeng; Wang, Feng-Bin
2015
Global dynamics of zooplankton and harmful algae in flowing habitats. Zbl 1286.35129
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2013
On the dynamics of two-consumers-one-resource competing systems with Beddington-DeAngelis functional response. Zbl 1371.37140
Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui
2013
Ordinary differential equations with applications. 2nd ed. Zbl 1285.34001
Hsu, Sze-Bi
2013
Dynamics of phytoplankton communities under photoinhibition. Zbl 1272.92051
Hsu, Sze-Bi; Lin, Chiu-Ju; Hsieh, Chih-Hao; Yoshiyama, Kohei
2013
A Lotka-Volterra competition model with seasonal succession. Zbl 1284.34054
Hsu, Sze-Bi; Zhao, Xiao-Qiang
2012
Competition between microorganisms for a single limiting resource with cell quota structure and spatial variation. Zbl 1252.37020
Grover, James P.; Hsu, Sze-Bi; Wang, Feng-Bin
2012
Dynamics of a periodically pulsed bio-reactor model with a hydraulic storage zone. Zbl 1242.35208
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2011
Reaction-diffusion equations of two species competing for two complementary resources with internal storage. Zbl 1222.35101
Hsu, Sze-Bi; Jiang, Jifa; Wang, Feng-Bin
2011
On a mathematical model arising from competition of phytoplankton species for a single nutrient with internal storage: steady state analysis. Zbl 1229.92074
Hsu, Sze-Bi; Wang, Feng-Bin
2011
The spectrum of chaotic time series. I: Fourier analysis. Zbl 1248.37072
Chen, Goong; Hsu, Sze-Bi; Huang, Yu; Roque-Sol, Marco A.
2011
The spectrum of chaotic time series. II: Wavelet analysis. Zbl 1248.37034
Chen, Goong; Hsu, Sze-Bi; Huang, Yu; Roque-Sol, Marco A.
2011
A refuge-mediated apparent competition model. Zbl 1241.92074
Hsu, Sze-Bi; Roeger, Lih-Ing Wu
2011
Single phytoplankton species growth with light and advection in a water column. Zbl 1210.35265
Hsu, Sze-Bi; Lou, Yuan
2010
On a nonlocal reaction-diffusion problem arising from the modeling of phytoplankton growth. Zbl 1211.35261
Du, Yihong; Hsu, Sze-Bi
2010
On a system of reaction-diffusion equations arising from competition with internal storage in an unstirred chemostat. Zbl 1185.92089
Hsu, Sze-Bi; Jiang, Jifa; Wang, Feng-Bin
2010
Relaxation oscillation profile of limit cycle in predator-prey system. Zbl 1176.34049
Hsu, Sze-Bi; Shi, Junping
2009
Competition and coexistence in flowing habitats with a hydraulic storage zone. Zbl 1176.92052
Grover, James P.; Hsu, Sze-Bi; Wang, Feng-Bin
2009
Non-periodicity in chemostat equations: a multi-dimensional negative Bendixson-Dulac criterion. Zbl 1231.92061
Fiedler, Bernold; Hsu, Sze-Bi
2009
Analysis of a model of two parallel food chains. Zbl 1182.34068
Hsu, Sze-Bi; Klausmeier, Christopher A.; Lin, Chiu-Ju
2009
Spreading speeds and traveling waves for nonmonotone integrodifference equations. Zbl 1160.37031
Hsu, Sze-Bi; Zhao, Xiao-Qiang
2008
Global dynamics of a predator-prey model with Hassell-Varley type functional response. Zbl 1160.34046
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
2008
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. I: Existence. Zbl 1168.35347
Du, Yihong; Hsu, Sze-Bi
2008
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. II: Limiting profile. Zbl 1168.35348
Du, Yihong; Hsu, Sze-Bi
2008
Competitive exclusion of microbial species for a single nutrient with internal storage. Zbl 1151.92033
Hsu, Sze-Bi; Hsu, Ting-Hao
2008
On the role of asymptomatic infection in transmission dynamics of infectious diseases. Zbl 1281.92060
Hsu, Sze-Bi; Hsieh, Ying-Hen
2008
Mathematical analysis of two microbial species competing for two complementary resources with internal storage and different removal rates. Zbl 1170.92341
Hsu, Sze-Bi; Wang, Feng-Bin
2008
The final size of a SARS epidemic model without quarantine. Zbl 1113.92055
Hsu, Sze-Bi; Roeger, Lih-Ing W.
2007
Impact of quarantine on the 2003 SARS outbreak: a retrospective modeling study. Zbl 1450.92050
Hsieh, Ying-Hen; King, Chwan-Chuan; Chen, Cathy W. S.; Ho, Mei-Shang; Hsu, Sze-Bi; Wu, Yi-Chun
2007
A qualitative study of the damped Duffing equation and applications. Zbl 1122.34001
Feng, Zhaosheng; Chen, Goong; Hsu, Szebi
2006
Ordinary differential equations with applications. Zbl 1120.34002
Hsu, Sze-Bi
2006
Mathematical analysis of a Bohr atom model. Zbl 1111.81157
Chen, Goong; Ding, Zhonghai; Hsu, Sze-Bi; Kim, Moochan; Zhou, Jianxin
2006
A survey of constructing Lyapunov functions for mathematical models in population biology. Zbl 1087.34031
Hsu, Sze-Bi
2005
Modeling intervention measures and severity-dependent public response during severe acute respiratory syndrome outbreak. Zbl 1087.92053
Hsu, Sze-Bi; Hsieh, Ying-Hen
2005
A discrete-delayed model with plasmid-bearing, plasmid-free competition in a chemostat. Zbl 1090.34063
Hsu, Sze-Bi; Li, Cheng-Che
2005
A diffusive predator-prey model in heterogeneous environment. Zbl 1330.35467
Du, Yihong; Hsu, Sze-Bi
2004
A ratio-dependent food chain model and its applications to biological control. Zbl 1036.92033
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
2003
Lectures on chaotic dynamical systems. Zbl 1152.37300
Afraimovich, Valentin; Hsu, Sze-Bi
2003
Chaotic vibration of the wave equation with nonlinear feedback boundary control: progress and open questions. Zbl 1043.35035
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
2003
Heteroclinic foliation, global oscillations for the Nicholson-Bailey model and delay of stability loss. Zbl 1044.37036
Hsu, Sze-Bi; Li, Ming-Chia; Liu, Weishi; Malkin, Mikhail
2003
Nonisotropic spatiotemporal chaotic vibration of the wave equation due to mixing energy transport and a van der Pol boundary condition. Zbl 1044.37019
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
2002
Analyzing displacement term’s memory effect in a van der Pol type boundary condition to prove chaotic vibration of the wave equation. Zbl 1042.35032
Chen, Goong; Hsu, Sze-Bi; Huang, Tingwen
2002
A model of the effect of anti-competitor toxins on plasmid-bearing, plasmid-free competition. Zbl 1029.34038
Hsu, Sze-Bi; Waltman, Paul
2002
Plasmid-bearing, plasmid-free organisms competing for two complementary nutrients in a chemostat. Zbl 1020.92029
Hsu, Sze-Bi; Tzeng, Yun-Huei
2002
Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system. Zbl 0984.92035
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
2001
Rich dynamics of a ratio-dependent one-prey two-predators model. Zbl 1007.34054
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
2001
Chaotic behavior of three competing species of May-Leonard model under small periodic perturbations. Zbl 1090.92508
Afraimovich, Valentin S.; Hsu, Sze-Bi; Lin, Huey-Er
2001
Optimal motion estimation from multiple images by normalized epipolar constraint. Zbl 1111.68712
Ma, Y.; Vidal, R.; Hsu, S.; Sastry, S.
2001
Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type. Zbl 0935.34035
Hsu, Sze-Bi; Hwang, Tzy-Wei
1999
Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span. Zbl 0959.37027
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
1998
Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. I: Controlled hysteresis (with Appendix by Guanrong Chen and Giovanni Crosta). Zbl 0916.35065
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
1998
Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. II: Energy injection, period doubling and homoclinic orbits. Zbl 0938.35088
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
1998
On the asymmetric May-Leonard model of three competing species. Zbl 0919.92036
Chi, Chia-Wei; Hsu, Sze-Bi; Wu, Lih-Ing
1998
Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. III: Natural hysteresis memory effects. Zbl 0938.35089
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
1998
Extinction of top-predator in a three-level food-chain model. Zbl 0908.92029
Chiu, Chuang-Hsiung; Hsu, Sze-Bi
1998
Uniqueness of limit cycles for a predator-prey system of Holling and Leslie type. Zbl 0981.92036
Hsu, Sze-Bi; Hwang, Tzy-Wei
1998
Linear superposition of chaotic and orderly vibrations on two serially connected strings with a van der Pol joint. Zbl 0886.73026
Chen, Goong; Zhou, Jianxin; Hsu, Sze-Bi
1996
Global stability for a class of predator-prey systems. Zbl 0832.34035
Hsu, Sze-Bi; Huang, Tzy-Wei
1995
Global analysis of a model of plasmid-bearing, plasmid-free competition in a chemostat with inhibitions. Zbl 0840.92028
Luo, Ting-Kung; Hsu, Sze-Bi
1995
Global analysis of a model of plasmid-bearing, plasmid-free competition in a chemostat. Zbl 0802.92027
Hsu, Sze-Bi; Waltman, Paul; Wolkowicz, Gail S. K.
1994
A remark on the global asymptotic stability of a dynamical system modeling two species competition. Zbl 0806.92016
Hsu, Sze-Bi; Waltman, Paul; Ellermeyer, Sean F.
1994
On a system of reaction-diffusion equations arising from competition in an unstirred chemostat. Zbl 0784.92024
Hsu, Sze-Bi; Waltman, P.
1993
Nonlinear singular Sturm-Liouville problems and an application to transonic flow through a nozzle. Zbl 0693.34016
Hsu, Sze-Bi; Liu, Tai-Ping
1990
Lypunov stable penalty methods for imposing holonomic constraints in multibody system dynamics. Zbl 0708.70013
Kurdila, A. J.; Junkins, J. L.; Hsu, S.
1990
Analysis of large deformation of a heavy cantilever. Zbl 0653.73023
Hsu, Sze-Bi; Hwang, Shin-Feng
1988
On the asymptotic behavior of solutions of $$v''(x)+x\,\sin \,v(x)=0$$. Zbl 0682.34043
Ni, Wei-Ming; Hsu, Sze-Bi
1988
A remark on the period of the periodic solution in the Lotka-Volterra system. Zbl 0515.92020
Hsu, Sze-Bi
1983
Steady states of a system of partial differential equations modeling microbial ecology. Zbl 0522.92024
Hsu, Sze-Bi
1983
Some results on global stability of a predator-prey system. Zbl 0464.92021
Cheng, Kuo-Shung; Hsu, Sze-Bi; Lin, Song-Sun
1981
Exploitative competition of microorganisms for two complementary nutrients in continuous cultures. Zbl 0498.92014
Hsu, Sze-Bi; Cheng, Kuo-Shung; Hubbell, S. P.
1981
On a resource based ecological competition model with interference. Zbl 0453.92016
Hsu, Sze-Bi
1981
Theoretical and experimental investigations of microbial competition in continuous culture. Zbl 0442.92015
Waltman, Paul; Hubbell, Stephen P.; Hsu, Sze-Bi
1980
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### Cited by 1,757 Authors

 43 Hsu, Szebi 37 Wang, Feng-Bin 31 Wu, Jianhua 30 Nie, Hua 29 Shi, Junping 26 Zhao, Xiao-Qiang 20 Huang, Yu 20 Wang, Mingxin 19 Lin, Guo 18 Li, Wan-Tong 18 Wei, Junjie 17 Jiang, Jifa 16 Peng, Rui 16 Ruan, Shigui 15 Chen, Lansun 14 Chen, Goong 14 Wang, Jinfeng 14 Yuan, Sanling 13 Banerjee, Malay 13 Kuang, Yang 13 Waltman, Paul Elvis 12 Afraimovich, Valentin S. 12 Chen, Shanshan 12 Feng, Zhaosheng 12 Hsu, Cheng-Hsiung 12 Lou, Yuan 11 Ahn, Inkyung 11 Ding, Xiaoquan 11 Ko, Wonlyul 11 Li, Liangliang 11 Pan, Shuxia 10 Jiang, Daqing 10 Smith, Hal Leslie 10 Wang, Yuxia 10 Xiang, Qiaomin 10 Xiao, Dongmei 10 Zhang, Jimin 9 Chen, Guanrong 9 Dai, Binxiang 9 Haque, Mainul 9 Kuznetsov, Sergey P. 9 Song, Yongli 9 Wang, Weiming 9 Wolkowicz, Gail S. K. 9 Wu, Shiliang 9 Yang, Qigui 9 Zhang, Tonghua 9 Zou, Xingfu 8 Baek, Hunki 8 Guo, Shangjiang 8 Lam, King-Yeung 8 Liu, Gui Rong 8 Teng, Zhi-dong 8 Wang, Lin 8 Yuan, Rong 7 Du, Yihong 7 Fan, Yonghong 7 Grover, James P. 7 Guo, Jong-Shenq 7 Hsu, Sze-Bin 7 Huang, Tingwen 7 Lutscher, Frithjof 7 Ma, Zhanping 7 Pal, Samaresh 7 Sun, Guiquan 7 Wang, Xueying 7 Weng, Peixuan 7 Xu, Rui 6 Aziz-Alaoui, Moulay-Ahmed 6 Ducrot, Arnaud 6 Fan, Meng 6 Freedman, Herbert Irving 6 Han, Maoan 6 Hu, Guangping 6 Huang, Jicai 6 Jiao, Jianjun 6 Jin, Yu 6 Jin, Zhen 6 Li, Bingtuan 6 Li, Xiaoling 6 Liang, Xing 6 Liu, Sanyang 6 Mei, Linfeng 6 Nekorkin, Vladimir I. 6 Rabinovich, Mikhail I. 6 Ryu, Kimun 6 Samanta, Guru Prasad 6 So, Joseph Wai-Hung 6 Wang, Biao 6 Wang, Ke 6 Wang, Yuanshi 6 Wu, Chufen 5 Cai, Shaohong 5 Chen, Fengde 5 Chen, Yuanlong 5 Fu, Shengmao 5 Han, Renji 5 Huang, Xuncheng 5 Huo, Hai-Feng 5 Jang, Sophia R.-J. ...and 1,657 more Authors
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### Cited in 176 Serials

 94 Nonlinear Analysis. Real World Applications 92 Journal of Mathematical Analysis and Applications 88 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 79 Journal of Differential Equations 74 Applied Mathematics and Computation 69 Discrete and Continuous Dynamical Systems. Series B 65 Journal of Mathematical Biology 57 Mathematical Biosciences 41 Chaos, Solitons and Fractals 30 Advances in Difference Equations 29 International Journal of Biomathematics 25 Bulletin of Mathematical Biology 25 Nonlinear Dynamics 24 Computers & Mathematics with Applications 24 Communications in Nonlinear Science and Numerical Simulation 22 Abstract and Applied Analysis 21 Mathematical Biosciences and Engineering 20 Applied Mathematical Modelling 20 Chaos 20 Discrete Dynamics in Nature and Society 19 Applicable Analysis 19 Applied Mathematics Letters 17 Journal of Dynamics and Differential Equations 17 Discrete and Continuous Dynamical Systems 15 Journal of Applied Mathematics and Computing 14 Communications on Pure and Applied Analysis 12 SIAM Journal on Applied Mathematics 12 Journal of Biological Systems 12 Journal of Theoretical Biology 10 Mathematical and Computer Modelling 10 Journal of Difference Equations and Applications 10 Discrete and Continuous Dynamical Systems. Series S 9 Physica A 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Journal of Computational and Applied Mathematics 9 Mathematics and Computers in Simulation 9 Differential Equations and Dynamical Systems 9 Journal of Biological Dynamics 8 SIAM Journal on Mathematical Analysis 7 Mathematical Methods in the Applied Sciences 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Acta Applicandae Mathematicae 7 Calculus of Variations and Partial Differential Equations 7 Complexity 7 Mathematical Problems in Engineering 7 Journal of Applied Mathematics 7 Journal of Applied Analysis and Computation 6 Rocky Mountain Journal of Mathematics 6 Journal of Nonlinear Science 6 SIAM Journal on Applied Dynamical Systems 5 Journal of the Franklin Institute 5 Journal of Mathematical Physics 5 Nonlinearity 5 Proceedings of the American Mathematical Society 5 Physica D 5 Acta Mathematicae Applicatae Sinica. English Series 5 Computational and Applied Mathematics 5 Applications and Applied Mathematics 4 Transactions of the American Mathematical Society 4 Natural Resource Modeling 4 Regular and Chaotic Dynamics 4 Journal of Dynamical and Control Systems 4 Qualitative Theory of Dynamical Systems 4 Mathematical Modelling of Natural Phenomena 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 SIAM Journal on Control and Optimization 3 Applied Mathematics and Mechanics. (English Edition) 3 Filomat 3 Journal of Mathematical Chemistry 3 Nonlinear Analysis. Modelling and Control 3 Dynamical Systems 3 Boundary Value Problems 3 Frontiers of Mathematics in China 3 International Journal of Applied and Computational Mathematics 3 AIMS Mathematics 2 Bulletin of the Australian Mathematical Society 2 Automatica 2 Journal of Functional Analysis 2 Quarterly of Applied Mathematics 2 Theoretical Population Biology 2 European Journal of Applied Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Applications of Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Applied Mathematics. Series B (English Edition) 2 Journal of the Egyptian Mathematical Society 2 Taiwanese Journal of Mathematics 2 Journal of Inequalities and Applications 2 Acta Mathematica Sinica. English Series 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 International Journal of Modern Physics C 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Nonlinear Analysis. Hybrid Systems 2 International Journal of Differential Equations 2 ISRN Applied Mathematics 2 Journal of Mathematics 2 Journal of Applied Nonlinear Dynamics ...and 76 more Serials
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### Cited in 36 Fields

 1,160 Biology and other natural sciences (92-XX) 617 Ordinary differential equations (34-XX) 535 Partial differential equations (35-XX) 329 Dynamical systems and ergodic theory (37-XX) 61 Difference and functional equations (39-XX) 59 Systems theory; control (93-XX) 44 Probability theory and stochastic processes (60-XX) 37 Operator theory (47-XX) 36 Numerical analysis (65-XX) 35 Integral equations (45-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Mechanics of particles and systems (70-XX) 8 Computer science (68-XX) 8 Fluid mechanics (76-XX) 7 Mechanics of deformable solids (74-XX) 7 Information and communication theory, circuits (94-XX) 6 Functional analysis (46-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 General topology (54-XX) 4 Quantum theory (81-XX) 4 Operations research, mathematical programming (90-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-XX)