Sze-Bi Hsu

Department of Mathematics

National Tsing-Hua University

Hsinchu, Taiwan 300

Email: sbhsu@math.nthu.edu.tw

　

Education

項目符號

B. S., Tsing-Hua University, Taiwan 1970
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ph. D., University of Iowa, 1976

Professional Experience

Instructor, University of Utah, 1976-1979

National Chiao-Tung University

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Associate Professor, 1979-1980
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Professor, 1980-1985

National Tsing-Hua University

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Professor, 1985--
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Chairman, Institute of Applied Mathematics, 1987-1990
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Dean, College of Science, 1998-2004

  Visiting Professor, University of Maryland, 1986-1987

  Visiting Professor, Emory University, 1990-1991

Award

  MOE Science Award, 2005

Books

項目符號

Lectures on Chaotic Dynamical Systems, International Press, 2002 (with Valentine Afraimovich) 

　
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Ordinary Differential Equations with Applications, Word Scientific Press, 2006.

Lecture Notes

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Mathematical Biology for undergraduate students [DOC]
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Mathematical Modelling in Biologial Science [PDF]

Journal Articles

There are three parts: 

I.: Mathematical Biology

II.: Chaotic Vibrating Strings

III.: Mechanics and Gas Dynamics

  1. Mathematical Biology

  1. " Non-periodicity of chemostats: a multi-dimensional negative Bendixson Dulac criterion" (with Bernold Fiedler) , J. Math. Biology, To appear PDF

  2. "Contration Phenomena in a Nonlocal Quasilinear Problem Modelling Phytoplankton I: Existence" (with YIHONG DU) SIAM Journal of Mathematical Analysis, Vol 40, p1419-1440 (2008) PDF

  3. "Contration Phenomena in a Nonlocal Quasilinear Problem Modelling Phytoplankton II: Limiting Profile" (with YIHONG DU) SIAM Journal of Mathematical Analysis, Vol 40, p1441-1470 (2008) PDF

  4. "Competitive Exclusion of Microbial Species for a Single-Nutrient with Internal Storage" (with TING-HAO HSU) SIAM. J. Appl. Math, Vol 68, No. 6, p1600-1617 PDF

  5. "Spreading Speeds and Traveling Waves for Non-Monotone Integrodifference Equations"(with XIAO-QIANG ZHAO) SIAM J. Math. Analysis, , Vol 40, No. 2, p776-789 PDF

  6. "Global Dynamics of a Predator-Prey Model with HASSELL-VARLEY Type Functional Response" (with Tzy-Wei Hwang, Yang Kuang) Discrete and Continuous Dynamical System, Series B, Vol 10, No. 4, p857-871 PDF

  7. "On the Role of Asymptomatic Infection in Transmission Dynamics of Infectious Diseases"(with Ying-Hen Hsieh)Bulletin of Mathematical Biology (2008) 70: 134–155 PDF

  8. "Impact of quarantine on the 2003 SARS outbreak: A retrospective modeling study" (with Ying-Hen Hsieh et), Journal of Theoretical Biology, 244, (2007), 729-736 PDF

  9. "The final size of a SARS epidemic model without quarqntine" (with Lih-Ing W. Roeger), J. Math. Anal. Appl., 333, (2007), 557-566 PDF

  10. "Modeling intervention measures and severity-dependent public response during severe acute respiratory Syndrome Otubreak" (with Ying-Hen Hsieh), SIAM J. Appl. Math., vol 66, No.2, (2006), 627-647   PDF

  11. "Constructing Lyapunov Functions for Mathematical Models in Population Biology", Taiwanese Journal of Math., vol 9, No.2, (2005), 151-173.   PDF

  12. "A Discrete-Delayed model with Plasmid-Bearing, Plasmid-Free Competition in a Chemostat" (with Cheng-Che Li), DCDS, vol 5, No.3, (2005), 699-718.    PDF

  13. "A diffusive predator-prey model in heterogeneous environment", (with Yihong Du), JDE 203(2004) 331-364.    PDF

  14. "A survey of Mathematical Models of Competition with on inhibitor", (with Paul Waltman). Math. Biosci. 187(2004) 53-91   PDF

  15. "The Severe Acute Respiratory Syndrome Outbreak in Taiwan: Lesson to be learn" (with Ying-Hen Hsieh, Cathy W. S. Chen) Emerging Infectious Diseases (2004) vol 10,No.2, 201-206   PDF

  16. "Heteroclinic Foliation, Global Oscillations for the Nicholson-Bailey Model and Delay of Stability Loss" (with Ming-Chia Li, Weishi Liu, Mikhail Malkin) Discrete and c ontinuous Dynamical Systems ,vol 9,No. 6,(2003),1465-1492   PDF

  17. "A Ratio-Depentent Food Chain Model and its Application to Biological control" (with T.W.Huang ,Y.Kuang) Math.Bios.181(2003)55-83   PDF

  18. "Plasmid-bearing ,plasmid-free organisms Competing for two complementary nutrients in a chemostat" (with Yun-Huei Tzeng) Math Bios 179 (2002)183-206   PDF

  19. "A model of the effect of anti-competitor toxins on plasmid-bearing ,plasmid-free competition" (P.Waltman) Taiwanese J.Math 6(1)(2002)135-155   PDF

  20. "Rich dynamics of a ratio-dependent one prey two predator model" (with T.W.Hwang and Y.Kuang) J.Math.Biology 43 (2001), 377-396   PDF

  21. "Chaotic behavior of three competing species of May-Leonard model under small periodic perturbation ", (with V, Afraimovich, Huey-Er Lin ), International J. of Bifurcation and Chaos, Vol. 11, No. 2 (2001) 435-447.   PDF

  22. "Global Analysis of the Michaelis-Menten type ratio-dependence predator-prey system", (with T. W. Hwang and Y. Kuang), J. Math. Biol.(2001), 42, 489-506.   PDF

  23. "Stability analysis for a class of diffusive coupled system with applications to population biology ", (with Ruey-Tarng Gong), Canadian Applied Math. Quarterly (2000) Vol. 8, P. 79-96.   

  24. "Competition in the presence of a lethal external inhibitor",(with Yen-Sheng Li and Paul Waltman), Math. Bioscience 167(2000)177-199.   PDF

  25. "Hopf Bifurcation Analysis for a Predator-Prey system of Holling and Leslie type", (with T.W. Hwang), {Taiwanese Journal of Mathematics}, (1999) Vol. 3, No. 1, p.35-53.   PDF

  26. "Extinction of top predator in a three level food chain model", (with C.H. Chiu), {J. Math. Biology}, (1998) vol. 37, P.372-380.   PDF

  27. "Competition in the chemostat when one competitor produces a toxin", (with P. Waltman) {Japan SIAM J. Applied Mathematics} (1998), Vol. 15, No. 3 p.471-490.   PDF

  28. "Uniqueness of limit cycles for a Predator--Prey system of Holling and Leslie type", (with T.W. Hwang), {Quarterly Canadian Applied Mathematics}, (1998) Vol. 6, No. 2, p.91-117.

  29. "Competition between Plasmid--Bearing and Plasmid--Free organisms in selective media", (with P. Waltman), {\mbs Chemical Engineering Science}, Vol. 52 (1997), 23-35.   PDF

  30. "On the asymmetric May-Leonard model of three competing species",(with Chia-Wei Chi and Lih-Ing Wu), {SIAM J. of Applied Math.}, Vol. 58, No. 1, p.211--226 (1998).   PDF

  31. "Competitive exclusion and coexistence for competitive system on ordered Banach space", (with H.L. Smith and P. Waltman), {AMS Transaction}, Vol. 348 (1996), 4083-4094.   PDF

  32. "Competition between Plasmid--Bearing and Plasmid--Free organisms in a chemostat with inhibitor", (with T.K. Luo and P. Waltman), {J. of Math. Biology}, Vol. 34 (1995), 225-238.   

  33. "Global analysis of a model of Plasmid--Bearing, Plasmid--Free competition in a chemostat with inhibitions", (with T.K. Luo), {J. of Math. Biology}, Vol. 34 (1995), 41-76. 

  34. "Global stability for a class of Predator--Prey systems", (with Tzy--Wei Huang), {SIAM J. Appl. Math.}, Vol. 55, No. 3 (1995), 763-783.  PDF

  35. "Global analysis of a model of Plasmid--Bearing, Plasmid--Free competition in a chemostat", (with P. Waltman and G. Wolkowicz), {Journal of Mathematical Biology} 32 (1994), 731-742. 

  36. "Dynamics of competition in the unstirred chemostat", (with H. Smith and P. Waltman), {Canadian Appl. Math. Quarterly} (1994), 461-483.

  37. "A remark on the global asymptotic stability of A dynamical system modeling two species competition", (with P.E. Waltman and S. Ellermeyer), {Hiroshima Mathematical Journal}, Vol 24. No. 2 (1994) 435-445. 

  38. "On a system of Reaction--Diffusion equations arising from competition in an unstirred chemostat", (with P.E. Waltman), {SIAM J. Appl. Math.}, Vol. 53, No. 4, (1993), 1026-1044.

  39. "Analysis of a model of two competitors in a chemostat with an external inhibitor", (with P.E. Waltman), {SIAM J. Applied Math.}, Vol. 52, No. 2, (1992), 528-540.  PDF

  40. "A mathematical model of chemostat with periodic washout rate", (with Butler, Waltman), {SIAM, J. Appl. math.}, Vol. 45, No. 3, (1985), 435-449.  PDF

  41. "Steady state of a system of P.D.E. modeling microbial ecology", {SIAM J. Math. Analysis}, Vol. 14 (1983), 1130-1138.  PDF

  42. "Coexistence of competing predator in a chemostat", (with G.J. Butler and P.E. Waltman), {J. Math. Biology}, 17 (1983), 133-151. 

  43. "A remark on the period of periodic solutions in the Lotka--Volterra system", {J. Math. Analysis $\&$ Application}, Vol. 95, No. 2, (1983), 428-436.

  44. "Predator--Mediated coexistence and extinction", {Math. Bios.}, 54 (1981), 231-248.

  45. "Exploitative competition of two Micro--Organisms for two complementary nutrients in a continuous culture", (with Cheng, Hubbell), {SIAM J. App. Math.}, (1981), 422-444.  PDF

  46. "Some results on global stability of a Predator--Prey system", (with S.S. Lin and Cheng), {J. Math., Biology}, 12 (1981), 115-126.

  47. "On a resource based ecological competition model with interference", {J. Math. Biology}, 12 (1981), 45-52.

  48. "A competition model for a seasonally flluctuating nutrient", {J. Math. Biology}, 9 (1980), 115-132. 

  49. "Two predators competing for two prey species¡G An analysis of MacArthur's model", (with Hubbell), {Math. Biocience} 43 (1979), 143-171. 

  50. "Theoretical and experimental investigation of microbial competition in continuous culture", (with Waltman, Hubbell), {Proceeding of Conference in Biomathematics at Southern Illinois University}, edited by Burton, (1978) 107-152. 

  51. "Competing predator", (with Waltman, Hubbell), {SIAM J. Appl math.}, Vol. 135, No. 4 (1978), 617-625.

  52. "A contribution to the theory of competing predators", (with Waltman, Hubbell), {Ecological Monograph} 38 (1978), 337-349. 

  53. "Limiting behavior for competing species", {SIAM, J. Appl. Math.}, Vol. 34, No. 4 (1978), 760-763. 

  54. "On global stability of a Predator--Prey system", {Math. Bioscience}, 39 (1978), 1-10.

  55. "The application of the Poincare--Transform to the Lotka--Volterra model", {J. Math. Biology}, 6 (1978), 67-73.

  56. "A mathematical theory for Single--Nutrient competition in continuous culture of Micro--Organisms", (with Waltman, Hubbell), {SIAM J. Appl. Math.} Vol. 32, No. 2 (1977), 366-382. 

  1. Chaotic Vibrating Strings

  1. "Chaotic Vibration of the Wave Wquation with Nonlinear Feedback Boundary Control: Progress and Open Problems" (with Goong Chen and Jianxin Zhou) Chapter 2, Chaos Control, Vol I ,Chaos and Bifurcation Control: Theory and Applications,Edited by Guanrong Chen, Lecture Note in Control and Information Science, Springer Verlag (2003)   PDF

  2. "Analyzing Displacement Term's Memory Effect in a van der Pol Type Boundary Condition to Prove Chaotic Vibration of the Wave Equation" (with Goong Chen & Tingwen Huang)International J. of Bifurcation and Chaos vol 12 ,No5 (2002) 965-982   PDF

  3. "Nonisotropic spatiotemporal chaotic vibration on the Wave equation due to mixing energy transport and a Van der Pol boundary condition" (with Goong Chen & Jianxin Zhou)International J. of Bifurcation and Chaos vol 12,No3 (2002) 535-559   PDF

  4. "Chaotic Vibration of the Wave Equation by Nonlinear Feedback Boundary Control", Chapter 7, p.131-154, {Controlling Chaos and Bifurcation in Engineering}, CRC Press, edited by Guangrong Chen (1999).

  5. "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", (with G. Chen and J. Zhou), {J. of Math. Physics} (1998) Vol. 39, No. 12, p.6459-6489.   PDF

  6. "Chaotic vibration of the one-dimensional wave equation due to a self-excitation boundary condition, Part III¡G Natural hysteresis memory effects", (with G. Chen and J. Zhou), {International Journal of bifurcation and Chaos}, Vol. 8, No. 3 (1998) p.447-470.   PDF

  7. "Chaotic vibration the one-dimensional wave equation due to a self-excitation boundary condition PartII¡G Energy Pumping, Period doubling and homoclinic orbits", (with G. Chen and J. Zhou), {International Journal of Bifurcation and Chaos}, Vol. 8, No. 3 (1998) p.423-445.   PDF

  8. "Chaotic vibrations of the One-Dimensional wave equation due to a Self-Excitation boundary condition, Part I¡Gcontrolled hysteresis", (with G. Chen and J. Zhou), { AMS Transaction}, (1998) Vol. 350, No. 11, p.4265-4311.   PDF

  9. "Linear superposition of chaotic and orderly vibrations on two serially connected string with a van der Pol Joint", (with G. Chen and J. Zhou), {International J. of Bifurcation and chaos}, Vol. 6 (1996), 1509-1527. 

  1. Mechanics and Gas Dynamics

  1. "Mathematical Analysis of a Bohr Atom Model" (with Goong Chen et) , to appear in Journal of Mathematical Physics . PDF

  2. "A Qualitative Study on the Damped Duffing Equation and Applications" (with Z. Feng, G. Chen), Discrete and Continuous Dynamical Systems Series B, vol. 6, No.5 (2006), 1097-1112.   PDF

  3. "On the singular behavior of v^{''}(x)+x sin v(x)=0", (with K.S. Cheng, S.F. Hwang), Journal of Mathematical Analysis and Applications}, Vol. 163, No. 1 (1992), 20-37.

  4. "Nonlinear singular Sturm--Liouville problem and application to transonic flow through a nozzle", (with Tai-Ping Liu), {\mbs Communication in Pure and Applied Mathematics}, Vol. XLIII (1990), 31-61. 

  5. "Uniqueness property of large deformation of a heavy cantilever",{Bulltin of the Institute of Mathematics Academia Sinica}, Vol. 17, No. 3 (1989), 193-204.

  6. "On the asymptotic behavior of solutions of v^{''}(x) + x sin v(x)=0", (with W.M. Ni), {Bulltin of the Institute of Mathematics Academia Sinica}, Vol. 16, No. 2 (1988), 109-114. 

  7. "Anlaysis of large deformation of heavy cantilever", (with S.F. Hwang), {SIAM J. Math. Analysis}, Vol. 19, No. 4 (1988), 854-866.  PDF