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## Hsu, Szebi

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 Author ID: hsu.szebi Published as: Hsu, S.; Hsu, Sze-Bi; Hsu, Szebi
 Documents Indexed: 111 Publications since 1980, including 5 Books
all top 5

#### Co-Authors

 6 single-authored 21 Wang, Feng-Bin 14 Chen, Goong 10 Zhou, Jianxin 8 Hwang, Tzy-Wei 8 Zhao, Xiao-Qiang 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 Chen, Cathy W. S. 1 Chen, Yuyun 1 Chi, Chia-Wei 1 Chiu, Chuang-Hsiung 1 Deng, Bo 1 Ding, Zhonghai 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 Kim, Moochan B. 1 King, Chwan-Chuan 1 Klausmeier, Christopher A. 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 Takahashi, Wataru 1 Tanaka, Tamaki 1 Tzeng, Yun-Huei 1 Wang, Wendi 1 Wang, Yi 1 Wolkowicz, Gail S. K. 1 Wu, Lih-Ing 1 Wu, Yi-Chun 1 Yao, Jen-Chih 1 Yoshiyama, Kohei 1 Zhou, Hui
all top 5

#### Serials

 13 Journal of Mathematical Biology 13 Discrete and Continuous Dynamical Systems. Series B 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 5 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 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 Transactions of the American Mathematical Society 1 Differential and Integral Equations 1 Journal of Dynamics and Differential Equations 1 Chaos 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 AMS/IP Studies in Advanced Mathematics
all top 5

#### Fields

 80 Biology and other natural sciences (92-XX) 56 Ordinary differential equations (34-XX) 40 Partial differential equations (35-XX) 38 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) 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 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-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

85 Publications have been cited 1,866 times in 1,268 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
Spreading speeds and traveling waves for nonmonotone integrodifference equations. Zbl 1160.37031
Hsu, Sze-Bi; Zhao, Xiao-Qiang
2008
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
On a system of reaction-diffusion equations arising from competition in an unstirred chemostat. Zbl 0784.92024
Hsu, Sze-Bi; Waltman, P.
1993
Rich dynamics of a ratio-dependent one-prey two-predators model. Zbl 1007.34054
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
2001
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
Exploitative competition of microorganisms for two complementary nutrients in continuous cultures. Zbl 0498.92014
Hsu, Sze-Bi; Cheng, Kuo-Shung; Hubbell, S. P.
1981
Lectures on chaotic dynamical systems. Zbl 1152.37300
Afraimovich, Valentin; Hsu, Sze-Bi
2003
A survey of constructing Lyapunov functions for mathematical models in population biology. Zbl 1087.34031
Hsu, Sze-Bi
2005
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
On the asymmetric May-Leonard model of three competing species. Zbl 0919.92036
Chi, Chia-Wei; Hsu, Sze-Bi; Wu, Lih-Ing
1998
On a nonlocal reaction-diffusion problem arising from the modeling of phytoplankton growth. Zbl 1211.35261
Du, Yihong; Hsu, Sze-Bi
2010
Single phytoplankton species growth with light and advection in a water column. Zbl 1210.35265
Hsu, Sze-Bi; Lou, Yuan
2010
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
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
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 zooplankton and harmful algae in flowing habitats. Zbl 1286.35129
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2013
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
Theoretical and experimental investigations of microbial competition in continuous culture. Zbl 0442.92015
Waltman, Paul; Hubbell, Stephen P.; Hsu, Sze-Bi
1980
Extinction of top-predator in a three-level food-chain model. Zbl 0908.92029
Chiu, Chuang-Hsiung; Hsu, Sze-Bi
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
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
Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type. Zbl 0935.34035
Hsu, Sze-Bi; Hwang, Tzy-Wei
1999
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
Relaxation oscillation profile of limit cycle in predator-prey system. Zbl 1176.34049
Hsu, Sze-Bi; Shi, Junping
2009
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
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
Uniqueness of limit cycles for a predator-prey system of Holling and Leslie type. Zbl 0981.92036
Hsu, Sze-Bi; Hwang, Tzy-Wei
1998
Competition and coexistence in flowing habitats with a hydraulic storage zone. Zbl 1176.92052
Grover, James P.; Hsu, Sze-Bi; Wang, Feng-Bin
2009
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. II: Limiting profile. Zbl 1168.35348
Du, Yihong; Hsu, Sze-Bi
2008
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. I: Existence. Zbl 1168.35347
Du, Yihong; Hsu, Sze-Bi
2008
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
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 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
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
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
A Lotka-Volterra competition model with seasonal succession. Zbl 1284.34054
Hsu, Sze-Bi; Zhao, Xiao-Qiang
2012
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-advection model of harmful algae growth with toxin degradation. Zbl 1337.35012
Wang, Feng-Bin; Hsu, Sze-Bi; Zhao, Xiao-Qiang
2015
Modeling intervention measures and severity-dependent public response during severe acute respiratory syndrome outbreak. Zbl 1087.92053
Hsu, Sze-Bi; Hsieh, Ying-Hen
2005
Ordinary differential equations with applications. Zbl 1120.34002
Hsu, Sze-Bi
2006
Plasmid-bearing, plasmid-free organisms competing for two complementary nutrients in a chemostat. Zbl 1020.92029
Hsu, Sze-Bi; Tzeng, Yun-Huei
2002
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
A qualitative study of the damped Duffing equation and applications. Zbl 1122.34001
Feng, Zhaosheng; Chen, Goong; Hsu, Szebi
2006
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
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
Algal competition in a water column with excessive dioxide in the atmosphere. Zbl 1338.35439
Nie, Hua; Hsu, Sze-Bi; Grover, J. P.
2016
Coexistence solutions of a competition model with two species in a water column. Zbl 1334.35129
Nie, Hua; Hsu, Sze-Bi; Wu, Jianhua
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 pivotal eigenvalue problem in river ecology. Zbl 1326.35403
Hsu, Sze-Bi; López-Gómez, Julián; Mei, Linfeng; Wang, Feng-Bin
2015
Ordinary differential equations with applications. 2nd ed. Zbl 1285.34001
Hsu, Sze-Bi
2013
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
A discrete-delayed model with plasmid-bearing, plasmid-free competition in a chemostat. Zbl 1090.34063
Hsu, Sze-Bi; Li, Cheng-Che
2005
Nonlinear singular Sturm-Liouville problems and an application to transonic flow through a nozzle. Zbl 0693.34016
Hsu, Sze-Bi; Liu, Tai-Ping
1990
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
Growth of single phytoplankton species with internal storage in a water column. Zbl 1330.35474
Mei, Linfeng; Hsu, Sze-Bi; Wang, Feng-Bin
2016
Multiple steady-states in phytoplankton population induced by photoinhibition. Zbl 1330.92104
Du, Yihong; Hsu, Sze-Bi; Lou, Yuan
2015
Non-periodicity in chemostat equations: a multi-dimensional negative Bendixson-Dulac criterion. Zbl 1231.92061
Fiedler, Bernold; Hsu, Sze-Bi
2009
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
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
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
Numerical proof for chemostat chaos of Shilnikov’s type. Zbl 1390.34127
Deng, Bo; Han, Maoan; Hsu, Sze-Bi
2017
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
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
Dynamics of phytoplankton communities under photoinhibition. Zbl 1272.92051
Hsu, Sze-Bi; Lin, Chiu-Ju; Hsieh, Chih-Hao; Yoshiyama, Kohei
2013
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
Lypunov stable penalty methods for imposing holonomic constraints in multibody system dynamics. Zbl 0708.70013
Kurdila, A. J.; Junkins, J. L.; Hsu, S.
1990
Steady states of a system of partial differential equations modeling microbial ecology. Zbl 0522.92024
Hsu, Sze-Bi
1983
A competition model with dynamically allocated toxin production in the unstirred chemostat. Zbl 1360.35302
Nie, Hua; Hsu, Sze-Bi; Wu, Jianhua
2017
Competition for two essential resources with internal storage and periodic input. Zbl 1363.34133
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
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
The spectrum of chaotic time series. II: Wavelet analysis. Zbl 1248.37034
Chen, Goong; Hsu, Sze-Bi; Huang, Yu; Roque-Sol, Marco A.
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
Mathematical analysis of a Bohr atom model. Zbl 1111.81157
Chen, Goong; Ding, Zhonghai; Hsu, Sze-Bi; Kim, Moochan; Zhou, Jianxin
2006
Analysis of large deformation of a heavy cantilever. Zbl 0653.73023
Hsu, Sze-Bi; Hwang, Shin-Feng
1988
Mathematical analysis on a droop model with intraguild predation. Zbl 1415.34089
Hsu, Sze-Bi; Ho, Yi-Hui; Wang, Feng-Bin
2019
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
Optimal motion estimation from multiple images by normalized epipolar constraint. Zbl 1111.68712
Ma, Y.; Vidal, R.; Hsu, S.; Sastry, S.
2001
On the asymptotic behavior of solutions of $$v''(x)+x\,\sin \,v(x)=0$$. Zbl 0682.34043
Ni, Wei-Ming; Hsu, Sze-Bi
1988
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
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
Numerical proof for chemostat chaos of Shilnikov’s type. Zbl 1390.34127
Deng, Bo; Han, Maoan; Hsu, Sze-Bi
2017
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
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
Algal competition in a water column with excessive dioxide in the atmosphere. Zbl 1338.35439
Nie, Hua; Hsu, Sze-Bi; Grover, J. P.
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
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
Analysis of three species Lotka-Volterra food web models with omnivory. Zbl 1333.92046
Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui
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
Coexistence solutions of a competition model with two species in a water column. Zbl 1334.35129
Nie, Hua; Hsu, Sze-Bi; Wu, Jianhua
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 pivotal eigenvalue problem in river ecology. Zbl 1326.35403
Hsu, Sze-Bi; López-Gómez, Julián; Mei, Linfeng; Wang, Feng-Bin
2015
Multiple steady-states in phytoplankton population induced by photoinhibition. Zbl 1330.92104
Du, Yihong; Hsu, Sze-Bi; Lou, Yuan
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
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
A Lotka-Volterra competition model with seasonal succession. Zbl 1284.34054
Hsu, Sze-Bi; Zhao, Xiao-Qiang
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. II: Wavelet analysis. Zbl 1248.37034
Chen, Goong; Hsu, Sze-Bi; Huang, Yu; Roque-Sol, Marco A.
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
On a nonlocal reaction-diffusion problem arising from the modeling of phytoplankton growth. Zbl 1211.35261
Du, Yihong; Hsu, Sze-Bi
2010
Single phytoplankton species growth with light and advection in a water column. Zbl 1210.35265
Hsu, Sze-Bi; Lou, Yuan
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
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
Competitive exclusion of microbial species for a single nutrient with internal storage. Zbl 1151.92033
Hsu, Sze-Bi; Hsu, Ting-Hao
2008
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. II: Limiting profile. Zbl 1168.35348
Du, Yihong; Hsu, Sze-Bi
2008
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. I: Existence. Zbl 1168.35347
Du, Yihong; Hsu, Sze-Bi
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
Ordinary differential equations with applications. Zbl 1120.34002
Hsu, Sze-Bi
2006
A qualitative study of the damped Duffing equation and applications. Zbl 1122.34001
Feng, Zhaosheng; Chen, Goong; Hsu, Szebi
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
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
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
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
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. II: Energy injection, period doubling and homoclinic orbits. Zbl 0938.35088
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
Extinction of top-predator in a three-level food-chain model. Zbl 0908.92029
Chiu, Chuang-Hsiung; Hsu, Sze-Bi
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
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 1,632 Authors

 41 Hsu, Szebi 34 Wang, Feng-Bin 29 Wu, Jianhua 26 Shi, Junping 26 Zhao, Xiao-Qiang 25 Nie, Hua 20 Huang, Yu 20 Wang, Mingxin 18 Li, Wan-Tong 18 Wei, Junjie 16 Jiang, Jifa 16 Lin, Guo 16 Peng, Rui 15 Chen, Lansun 15 Ruan, Shigui 14 Chen, Goong 13 Afraimovich, Valentin S. 13 Waltman, Paul Elvis 12 Banerjee, Malay 12 Chen, Shanshan 12 Hsu, Cheng-Hsiung 11 Ding, Xiaoquan 11 Ko, Wonlyul 11 Yuan, Sanling 10 Ahn, Inkyung 10 Kuang, Yang 10 Kuznetsov, Sergey P. 10 Li, Liangliang 10 Pan, Shuxia 10 Smith, Hal Leslie 10 Wang, Jinfeng 10 Xiao, Dongmei 9 Chen, Guanrong 9 Feng, Zhaosheng 9 Haque, Mainul 9 Wang, Weiming 9 Wolkowicz, Gail S. K. 9 Zou, Xingfu 8 Baek, Hunki 8 Jiang, Daqing 8 Lou, Yuan 8 Song, Yongli 8 Wu, Shiliang 7 Dai, Binxiang 7 Du, Yihong 7 Fan, Yonghong 7 Grover, James P. 7 Hsu, Sze-Bin 7 Huang, Tingwen 7 Ma, Zhanping 7 Pal, Samaresh 7 Rabinovich, Mikhail I. 7 Wang, Xueying 7 Wang, Yuxia 7 Weng, Peixuan 7 Xu, Rui 7 Yuan, Rong 6 Aziz-Alaoui, Moulay-Ahmed 6 Ducrot, Arnaud 6 Fan, Meng 6 Freedman, Herbert Irving 6 Guo, Shangjiang 6 Han, Maoan 6 Huang, Xuncheng 6 Jiao, Jianjun 6 Li, Bingtuan 6 Liang, Xing 6 Liu, Gui Rong 6 Liu, Sanyang 6 Lutscher, Frithjof 6 Nekorkin, Vladimir I. 6 Ryu, Kimun 6 Samanta, Guru Prasad 6 So, Joseph Wai-Hung 6 Wang, Biao 6 Wang, Ke 6 Wang, Yuanshi 6 Yang, Qigui 5 Cai, Shaohong 5 Chen, Yuanlong 5 Hu, Guangping 5 Huo, Hai-Feng 5 Jiang, Weihua 5 Jin, Yu 5 Jin, Zhen 5 Li, Xiaoling 5 Mei, Linfeng 5 Meng, Xinzhu 5 Niu, Lei 5 Saha, Tapan 5 Shi, Hongbo 5 Shi, Yuming 5 Sun, Guiquan 5 Teng, Zhi-dong 5 Wang, Lin 5 Wang, Linlin 5 Wang, Wendi 5 Wang, Xiaoqin 5 Wu, Chufen 5 Xu, Zhaoquan ...and 1,532 more Authors
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#### Cited in 165 Serials

 92 Journal of Mathematical Analysis and Applications 82 Nonlinear Analysis. Real World Applications 79 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 74 Applied Mathematics and Computation 72 Journal of Differential Equations 59 Journal of Mathematical Biology 57 Mathematical Biosciences 42 Discrete and Continuous Dynamical Systems. Series B 37 Chaos, Solitons and Fractals 31 International Journal of Biomathematics 26 Nonlinear Dynamics 25 Advances in Difference Equations 24 Computers & Mathematics with Applications 24 Bulletin of Mathematical Biology 22 Abstract and Applied Analysis 19 Applied Mathematical Modelling 19 Chaos 19 Discrete Dynamics in Nature and Society 18 Communications in Nonlinear Science and Numerical Simulation 16 Journal of Dynamics and Differential Equations 16 Discrete and Continuous Dynamical Systems 15 Applied Mathematics Letters 13 Applicable Analysis 13 Journal of Applied Mathematics and Computing 12 Journal of Theoretical Biology 11 Communications on Pure and Applied Analysis 10 Mathematical and Computer Modelling 9 Journal of Difference Equations and Applications 9 Journal of Biological Systems 8 Journal of Computational and Applied Mathematics 8 SIAM Journal on Applied Mathematics 8 Journal of Biological Dynamics 7 Mathematical Methods in the Applied Sciences 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Calculus of Variations and Partial Differential Equations 7 Complexity 7 Mathematical Problems in Engineering 7 Journal of Applied Mathematics 7 Mathematical Biosciences and Engineering 7 Journal of Applied Analysis and Computation 6 Rocky Mountain Journal of Mathematics 6 Mathematics and Computers in Simulation 6 Physica D 6 SIAM Journal on Mathematical Analysis 6 Discrete and Continuous Dynamical Systems. Series S 5 Journal of Mathematical Physics 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of Nonlinear Science 5 Differential Equations and Dynamical Systems 5 SIAM Journal on Applied Dynamical Systems 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Acta Applicandae Mathematicae 4 Natural Resource Modeling 4 Regular and Chaotic Dynamics 4 Applications and Applied Mathematics 3 Journal of the Franklin Institute 3 Nonlinearity 3 Physica A 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 SIAM Journal on Control and Optimization 3 Applied Mathematics and Mechanics. (English Edition) 3 Computational and Applied Mathematics 3 Journal of Mathematical Chemistry 3 Journal of Dynamical and Control Systems 3 Dynamical Systems 3 Frontiers of Mathematics in China 3 Nonlinear Analysis. Theory, Methods & Applications 2 Bulletin of the Australian Mathematical Society 2 Physics Letters. A 2 Automatica 2 Journal of Functional Analysis 2 Quarterly of Applied Mathematics 2 Theoretical Population Biology 2 European Journal of 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 Journal of Inequalities and Applications 2 Acta Mathematica Sinica. English Series 2 Qualitative Theory of Dynamical Systems 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 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Boundary Value Problems 2 Nonlinear Analysis. Hybrid Systems 2 ISRN Applied Mathematics 2 International Journal of Applied and Computational Mathematics 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Biological Cybernetics 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 European Journal of Physics 1 Indian Journal of Pure & Applied Mathematics ...and 65 more Serials
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#### Cited in 35 Fields

 1,005 Biology and other natural sciences (92-XX) 564 Ordinary differential equations (34-XX) 439 Partial differential equations (35-XX) 296 Dynamical systems and ergodic theory (37-XX) 56 Difference and functional equations (39-XX) 51 Systems theory; control (93-XX) 36 Integral equations (45-XX) 35 Probability theory and stochastic processes (60-XX) 33 Numerical analysis (65-XX) 32 Operator theory (47-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Mechanics of particles and systems (70-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Fluid mechanics (76-XX) 8 Computer science (68-XX) 8 Information and communication theory, circuits (94-XX) 7 Mechanics of deformable solids (74-XX) 6 Functional analysis (46-XX) 5 Quantum theory (81-XX) 4 General topology (54-XX) 4 Global analysis, analysis on manifolds (58-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) 3 Operations research, mathematical programming (90-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX)