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Hsu, Szebi

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Author ID: hsu.szebi Recent zbMATH articles by "Hsu, Szebi"
Published as: Hsu, S.; Hsu, Sze-Bi; Hsu, Szebi
Documents Indexed: 111 Publications since 1980, including 5 Books

Publications by Year

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
212
1995
Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system. Zbl 0984.92035
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
170
2001
Spreading speeds and traveling waves for nonmonotone integrodifference equations. Zbl 1160.37031
Hsu, Sze-Bi; Zhao, Xiao-Qiang
81
2008
A diffusive predator-prey model in heterogeneous environment. Zbl 1330.35467
Du, Yihong; Hsu, Sze-Bi
78
2004
A ratio-dependent food chain model and its applications to biological control. Zbl 1036.92033
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
77
2003
On a system of reaction-diffusion equations arising from competition in an unstirred chemostat. Zbl 0784.92024
Hsu, Sze-Bi; Waltman, P.
69
1993
Rich dynamics of a ratio-dependent one-prey two-predators model. Zbl 1007.34054
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
66
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
61
1998
Some results on global stability of a predator-prey system. Zbl 0464.92021
Cheng, Kuo-Shung; Hsu, Sze-Bi; Lin, Song-Sun
57
1981
Exploitative competition of microorganisms for two complementary nutrients in continuous cultures. Zbl 0498.92014
Hsu, Sze-Bi; Cheng, Kuo-Shung; Hubbell, S. P.
44
1981
Lectures on chaotic dynamical systems. Zbl 1152.37300
Afraimovich, Valentin; Hsu, Sze-Bi
42
2003
A survey of constructing Lyapunov functions for mathematical models in population biology. Zbl 1087.34031
Hsu, Sze-Bi
41
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
38
2008
On the asymmetric May-Leonard model of three competing species. Zbl 0919.92036
Chi, Chia-Wei; Hsu, Sze-Bi; Wu, Lih-Ing
36
1998
On a nonlocal reaction-diffusion problem arising from the modeling of phytoplankton growth. Zbl 1211.35261
Du, Yihong; Hsu, Sze-Bi
34
2010
Single phytoplankton species growth with light and advection in a water column. Zbl 1210.35265
Hsu, Sze-Bi; Lou, Yuan
34
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
34
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
34
1998
Analysis of three species Lotka-Volterra food web models with omnivory. Zbl 1333.92046
Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui
31
2015
Global dynamics of zooplankton and harmful algae in flowing habitats. Zbl 1286.35129
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
31
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
30
2011
Theoretical and experimental investigations of microbial competition in continuous culture. Zbl 0442.92015
Waltman, Paul; Hubbell, Stephen P.; Hsu, Sze-Bi
30
1980
Extinction of top-predator in a three-level food-chain model. Zbl 0908.92029
Chiu, Chuang-Hsiung; Hsu, Sze-Bi
29
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
28
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
27
2010
Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type. Zbl 0935.34035
Hsu, Sze-Bi; Hwang, Tzy-Wei
26
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.
23
1994
Relaxation oscillation profile of limit cycle in predator-prey system. Zbl 1176.34049
Hsu, Sze-Bi; Shi, Junping
22
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
22
2002
A remark on the period of the periodic solution in the Lotka-Volterra system. Zbl 0515.92020
Hsu, Sze-Bi
19
1983
Competitive exclusion of microbial species for a single nutrient with internal storage. Zbl 1151.92033
Hsu, Sze-Bi; Hsu, Ting-Hao
18
2008
Uniqueness of limit cycles for a predator-prey system of Holling and Leslie type. Zbl 0981.92036
Hsu, Sze-Bi; Hwang, Tzy-Wei
18
1998
Competition and coexistence in flowing habitats with a hydraulic storage zone. Zbl 1176.92052
Grover, James P.; Hsu, Sze-Bi; Wang, Feng-Bin
17
2009
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. II: Limiting profile. Zbl 1168.35348
Du, Yihong; Hsu, Sze-Bi
15
2008
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. I: Existence. Zbl 1168.35347
Du, Yihong; Hsu, Sze-Bi
15
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
15
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.
15
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
11
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
11
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
10
2012
A Lotka-Volterra competition model with seasonal succession. Zbl 1284.34054
Hsu, Sze-Bi; Zhao, Xiao-Qiang
10
2012
A model of the effect of anti-competitor toxins on plasmid-bearing, plasmid-free competition. Zbl 1029.34038
Hsu, Sze-Bi; Waltman, Paul
10
2002
On a resource based ecological competition model with interference. Zbl 0453.92016
Hsu, Sze-Bi
9
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
8
2015
Modeling intervention measures and severity-dependent public response during severe acute respiratory syndrome outbreak. Zbl 1087.92053
Hsu, Sze-Bi; Hsieh, Ying-Hen
8
2005
Ordinary differential equations with applications. Zbl 1120.34002
Hsu, Sze-Bi
7
2006
Plasmid-bearing, plasmid-free organisms competing for two complementary nutrients in a chemostat. Zbl 1020.92029
Hsu, Sze-Bi; Tzeng, Yun-Huei
7
2002
On the role of asymptomatic infection in transmission dynamics of infectious diseases. Zbl 1281.92060
Hsu, Sze-Bi; Hsieh, Ying-Hen
6
2008
The final size of a SARS epidemic model without quarantine. Zbl 1113.92055
Hsu, Sze-Bi; Roeger, Lih-Ing W.
6
2007
A qualitative study of the damped Duffing equation and applications. Zbl 1122.34001
Feng, Zhaosheng; Chen, Goong; Hsu, Szebi
6
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
6
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
5
2017
Algal competition in a water column with excessive dioxide in the atmosphere. Zbl 1338.35439
Nie, Hua; Hsu, Sze-Bi; Grover, J. P.
5
2016
Coexistence solutions of a competition model with two species in a water column. Zbl 1334.35129
Nie, Hua; Hsu, Sze-Bi; Wu, Jianhua
5
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
5
2015
A pivotal eigenvalue problem in river ecology. Zbl 1326.35403
Hsu, Sze-Bi; López-Gómez, Julián; Mei, Linfeng; Wang, Feng-Bin
5
2015
Ordinary differential equations with applications. 2nd ed. Zbl 1285.34001
Hsu, Sze-Bi
5
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
5
2011
A discrete-delayed model with plasmid-bearing, plasmid-free competition in a chemostat. Zbl 1090.34063
Hsu, Sze-Bi; Li, Cheng-Che
5
2005
Nonlinear singular Sturm-Liouville problems and an application to transonic flow through a nozzle. Zbl 0693.34016
Hsu, Sze-Bi; Liu, Tai-Ping
5
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
4
2019
Growth of single phytoplankton species with internal storage in a water column. Zbl 1330.35474
Mei, Linfeng; Hsu, Sze-Bi; Wang, Feng-Bin
4
2016
Multiple steady-states in phytoplankton population induced by photoinhibition. Zbl 1330.92104
Du, Yihong; Hsu, Sze-Bi; Lou, Yuan
4
2015
Non-periodicity in chemostat equations: a multi-dimensional negative Bendixson-Dulac criterion. Zbl 1231.92061
Fiedler, Bernold; Hsu, Sze-Bi
4
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
4
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
4
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
4
1996
Numerical proof for chemostat chaos of Shilnikov’s type. Zbl 1390.34127
Deng, Bo; Han, Maoan; Hsu, Sze-Bi
3
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
3
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
3
2017
Dynamics of phytoplankton communities under photoinhibition. Zbl 1272.92051
Hsu, Sze-Bi; Lin, Chiu-Ju; Hsieh, Chih-Hao; Yoshiyama, Kohei
3
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
3
2011
Lypunov stable penalty methods for imposing holonomic constraints in multibody system dynamics. Zbl 0708.70013
Kurdila, A. J.; Junkins, J. L.; Hsu, S.
3
1990
Steady states of a system of partial differential equations modeling microbial ecology. Zbl 0522.92024
Hsu, Sze-Bi
3
1983
A competition model with dynamically allocated toxin production in the unstirred chemostat. Zbl 1360.35302
Nie, Hua; Hsu, Sze-Bi; Wu, Jianhua
2
2017
Competition for two essential resources with internal storage and periodic input. Zbl 1363.34133
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2
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
2
2016
The spectrum of chaotic time series. II: Wavelet analysis. Zbl 1248.37034
Chen, Goong; Hsu, Sze-Bi; Huang, Yu; Roque-Sol, Marco A.
2
2011
The spectrum of chaotic time series. I: Fourier analysis. Zbl 1248.37072
Chen, Goong; Hsu, Sze-Bi; Huang, Yu; Roque-Sol, Marco A.
2
2011
Mathematical analysis of a Bohr atom model. Zbl 1111.81157
Chen, Goong; Ding, Zhonghai; Hsu, Sze-Bi; Kim, Moochan; Zhou, Jianxin
2
2006
Analysis of large deformation of a heavy cantilever. Zbl 0653.73023
Hsu, Sze-Bi; Hwang, Shin-Feng
2
1988
Mathematical analysis on a droop model with intraguild predation. Zbl 1415.34089
Hsu, Sze-Bi; Ho, Yi-Hui; Wang, Feng-Bin
1
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
1
2008
Optimal motion estimation from multiple images by normalized epipolar constraint. Zbl 1111.68712
Ma, Y.; Vidal, R.; Hsu, S.; Sastry, S.
1
2001
On the asymptotic behavior of solutions of \(v''(x)+x\,\sin \,v(x)=0\). Zbl 0682.34043
Ni, Wei-Ming; Hsu, Sze-Bi
1
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
4
2019
Mathematical analysis on a droop model with intraguild predation. Zbl 1415.34089
Hsu, Sze-Bi; Ho, Yi-Hui; Wang, Feng-Bin
1
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
5
2017
Numerical proof for chemostat chaos of Shilnikov’s type. Zbl 1390.34127
Deng, Bo; Han, Maoan; Hsu, Sze-Bi
3
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
3
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
3
2017
A competition model with dynamically allocated toxin production in the unstirred chemostat. Zbl 1360.35302
Nie, Hua; Hsu, Sze-Bi; Wu, Jianhua
2
2017
Algal competition in a water column with excessive dioxide in the atmosphere. Zbl 1338.35439
Nie, Hua; Hsu, Sze-Bi; Grover, J. P.
5
2016
Growth of single phytoplankton species with internal storage in a water column. Zbl 1330.35474
Mei, Linfeng; Hsu, Sze-Bi; Wang, Feng-Bin
4
2016
Competition for two essential resources with internal storage and periodic input. Zbl 1363.34133
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2
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
2
2016
Analysis of three species Lotka-Volterra food web models with omnivory. Zbl 1333.92046
Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui
31
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
8
2015
Coexistence solutions of a competition model with two species in a water column. Zbl 1334.35129
Nie, Hua; Hsu, Sze-Bi; Wu, Jianhua
5
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
5
2015
A pivotal eigenvalue problem in river ecology. Zbl 1326.35403
Hsu, Sze-Bi; López-Gómez, Julián; Mei, Linfeng; Wang, Feng-Bin
5
2015
Multiple steady-states in phytoplankton population induced by photoinhibition. Zbl 1330.92104
Du, Yihong; Hsu, Sze-Bi; Lou, Yuan
4
2015
Global dynamics of zooplankton and harmful algae in flowing habitats. Zbl 1286.35129
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
31
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
11
2013
Ordinary differential equations with applications. 2nd ed. Zbl 1285.34001
Hsu, Sze-Bi
5
2013
Dynamics of phytoplankton communities under photoinhibition. Zbl 1272.92051
Hsu, Sze-Bi; Lin, Chiu-Ju; Hsieh, Chih-Hao; Yoshiyama, Kohei
3
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
10
2012
A Lotka-Volterra competition model with seasonal succession. Zbl 1284.34054
Hsu, Sze-Bi; Zhao, Xiao-Qiang
10
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
30
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
5
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
3
2011
The spectrum of chaotic time series. II: Wavelet analysis. Zbl 1248.37034
Chen, Goong; Hsu, Sze-Bi; Huang, Yu; Roque-Sol, Marco A.
2
2011
The spectrum of chaotic time series. I: Fourier analysis. Zbl 1248.37072
Chen, Goong; Hsu, Sze-Bi; Huang, Yu; Roque-Sol, Marco A.
2
2011
On a nonlocal reaction-diffusion problem arising from the modeling of phytoplankton growth. Zbl 1211.35261
Du, Yihong; Hsu, Sze-Bi
34
2010
Single phytoplankton species growth with light and advection in a water column. Zbl 1210.35265
Hsu, Sze-Bi; Lou, Yuan
34
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
27
2010
Relaxation oscillation profile of limit cycle in predator-prey system. Zbl 1176.34049
Hsu, Sze-Bi; Shi, Junping
22
2009
Competition and coexistence in flowing habitats with a hydraulic storage zone. Zbl 1176.92052
Grover, James P.; Hsu, Sze-Bi; Wang, Feng-Bin
17
2009
Non-periodicity in chemostat equations: a multi-dimensional negative Bendixson-Dulac criterion. Zbl 1231.92061
Fiedler, Bernold; Hsu, Sze-Bi
4
2009
Spreading speeds and traveling waves for nonmonotone integrodifference equations. Zbl 1160.37031
Hsu, Sze-Bi; Zhao, Xiao-Qiang
81
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
38
2008
Competitive exclusion of microbial species for a single nutrient with internal storage. Zbl 1151.92033
Hsu, Sze-Bi; Hsu, Ting-Hao
18
2008
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. II: Limiting profile. Zbl 1168.35348
Du, Yihong; Hsu, Sze-Bi
15
2008
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. I: Existence. Zbl 1168.35347
Du, Yihong; Hsu, Sze-Bi
15
2008
On the role of asymptomatic infection in transmission dynamics of infectious diseases. Zbl 1281.92060
Hsu, Sze-Bi; Hsieh, Ying-Hen
6
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
1
2008
The final size of a SARS epidemic model without quarantine. Zbl 1113.92055
Hsu, Sze-Bi; Roeger, Lih-Ing W.
6
2007
Ordinary differential equations with applications. Zbl 1120.34002
Hsu, Sze-Bi
7
2006
A qualitative study of the damped Duffing equation and applications. Zbl 1122.34001
Feng, Zhaosheng; Chen, Goong; Hsu, Szebi
6
2006
Mathematical analysis of a Bohr atom model. Zbl 1111.81157
Chen, Goong; Ding, Zhonghai; Hsu, Sze-Bi; Kim, Moochan; Zhou, Jianxin
2
2006
A survey of constructing Lyapunov functions for mathematical models in population biology. Zbl 1087.34031
Hsu, Sze-Bi
41
2005
Modeling intervention measures and severity-dependent public response during severe acute respiratory syndrome outbreak. Zbl 1087.92053
Hsu, Sze-Bi; Hsieh, Ying-Hen
8
2005
A discrete-delayed model with plasmid-bearing, plasmid-free competition in a chemostat. Zbl 1090.34063
Hsu, Sze-Bi; Li, Cheng-Che
5
2005
A diffusive predator-prey model in heterogeneous environment. Zbl 1330.35467
Du, Yihong; Hsu, Sze-Bi
78
2004
A ratio-dependent food chain model and its applications to biological control. Zbl 1036.92033
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
77
2003
Lectures on chaotic dynamical systems. Zbl 1152.37300
Afraimovich, Valentin; Hsu, Sze-Bi
42
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
4
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
4
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
22
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
11
2002
A model of the effect of anti-competitor toxins on plasmid-bearing, plasmid-free competition. Zbl 1029.34038
Hsu, Sze-Bi; Waltman, Paul
10
2002
Plasmid-bearing, plasmid-free organisms competing for two complementary nutrients in a chemostat. Zbl 1020.92029
Hsu, Sze-Bi; Tzeng, Yun-Huei
7
2002
Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system. Zbl 0984.92035
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
170
2001
Rich dynamics of a ratio-dependent one-prey two-predators model. Zbl 1007.34054
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
66
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
6
2001
Optimal motion estimation from multiple images by normalized epipolar constraint. Zbl 1111.68712
Ma, Y.; Vidal, R.; Hsu, S.; Sastry, S.
1
2001
Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type. Zbl 0935.34035
Hsu, Sze-Bi; Hwang, Tzy-Wei
26
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
61
1998
On the asymmetric May-Leonard model of three competing species. Zbl 0919.92036
Chi, Chia-Wei; Hsu, Sze-Bi; Wu, Lih-Ing
36
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
34
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
34
1998
Extinction of top-predator in a three-level food-chain model. Zbl 0908.92029
Chiu, Chuang-Hsiung; Hsu, Sze-Bi
29
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
28
1998
Uniqueness of limit cycles for a predator-prey system of Holling and Leslie type. Zbl 0981.92036
Hsu, Sze-Bi; Hwang, Tzy-Wei
18
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
4
1996
Global stability for a class of predator-prey systems. Zbl 0832.34035
Hsu, Sze-Bi; Huang, Tzy-Wei
212
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
15
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.
23
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.
15
1994
On a system of reaction-diffusion equations arising from competition in an unstirred chemostat. Zbl 0784.92024
Hsu, Sze-Bi; Waltman, P.
69
1993
Nonlinear singular Sturm-Liouville problems and an application to transonic flow through a nozzle. Zbl 0693.34016
Hsu, Sze-Bi; Liu, Tai-Ping
5
1990
Lypunov stable penalty methods for imposing holonomic constraints in multibody system dynamics. Zbl 0708.70013
Kurdila, A. J.; Junkins, J. L.; Hsu, S.
3
1990
Analysis of large deformation of a heavy cantilever. Zbl 0653.73023
Hsu, Sze-Bi; Hwang, Shin-Feng
2
1988
On the asymptotic behavior of solutions of \(v''(x)+x\,\sin \,v(x)=0\). Zbl 0682.34043
Ni, Wei-Ming; Hsu, Sze-Bi
1
1988
A remark on the period of the periodic solution in the Lotka-Volterra system. Zbl 0515.92020
Hsu, Sze-Bi
19
1983
Steady states of a system of partial differential equations modeling microbial ecology. Zbl 0522.92024
Hsu, Sze-Bi
3
1983
Some results on global stability of a predator-prey system. Zbl 0464.92021
Cheng, Kuo-Shung; Hsu, Sze-Bi; Lin, Song-Sun
57
1981
Exploitative competition of microorganisms for two complementary nutrients in continuous cultures. Zbl 0498.92014
Hsu, Sze-Bi; Cheng, Kuo-Shung; Hubbell, S. P.
44
1981
On a resource based ecological competition model with interference. Zbl 0453.92016
Hsu, Sze-Bi
9
1981
Theoretical and experimental investigations of microbial competition in continuous culture. Zbl 0442.92015
Waltman, Paul; Hubbell, Stephen P.; Hsu, Sze-Bi
30
1980
all top 5

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
all top 5

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

Citations by Year