SzeBi Hsu
Department of Mathematics
National TsingHua University
Hsinchu, Taiwan 300
Email: sbhsu@math.nthu.edu.tw
Education

B. S., TsingHua University, Taiwan 1970 

ph. D., University of Iowa, 1976 
Professional Experience
Instructor, University of Utah, 19761979
National
ChiaoTung University

Associate Professor, 19791980 

Professor, 19801985 
National
TsingHua University

Professor, 1985 

Chairman, Institute of Applied Mathematics, 19871990 

Dean, College of Science, 19982004 
Visiting Professor, University of Maryland, 19861987
Visiting Professor, Emory University, 19901991
Visiting Professor, Texas A&M University, 20042005
Award
MOE Science Award, 2005
MOE National
Chair Professor (Feb.1,2011Jan.31, 2014)
TsingHua Distinguished Chair Professor
(2011)
ROC Mathematical Society Award 2012
SIAM Fellow 2013
Books

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

Ordinary Differential Equations with Applications, Word Scientific Press, 2006 (First edition), 2013 (Second edition). 
Lecture Notes

Mathematical Biology for undergraduate students [DOC] 

Mathematical Modelling in Biologial Science [PDF] 

Introduction to Mathematical Biology Math.380 / 2013 [PDF1] [PDF2][Discrete Logistic Map][1.2 Single Species Growth Discrete Case][1.3 Multiple Species Interactions][1.3Linearization][1.4Two Dimensional Linear System][1.5 Predator Prey Model][1.6 Competition Model][Holling Type II and Epidemics models][MatlabProgram][Discrete Map LPA Model& BailyNicholson][Population Genetics1][Population Genetics2][Population Genetics3][Leslie Matrix][Population Genetics Models][Population Genetics2][Genetics and Probability][Modeling of nucleotide substitution] 
Journal Articles
II.: Chaotic Vibrating Strings
III.: Mechanics and Gas Dynamics
22. "Dynamics
of a Periodically Pulsed BioReactor Model With a Hydraulic Storage Zone" (with FengBin Wang and Xiaoqiang Zhao) J Dyn Diff Equat
23(2011), No. 4, pp 817842. PDF
23. "A LotkaVolterra Competition model with season
succession" (with Xiaoqiang Zhao) J. Math. Biology (2012),
64,p.109130 PDF
24. "Synchronized reproduction promotes species coexistence
through reproductive facilitation"(with YuYun Chen), J.Theoretical
Biology 274(2011), pp 136144 PDF
26. "on
a system of reactiondiffusion equations arising from competition with internal
storage in an unstirred chemostat" (with Jifa Jiang, FengBin Wang) , JDE
248 (2010), pp 24702496 PDF
27. "On
a nonlocal reactiondiffusion problem arising from the modeling phytoplankton
growth" (with Yihong Du), SIAM J. Math. Analysis 42 (2010), pp 13051333 PDF
28. "On
a mathematical modelarising from cpmpetition of phytoplankton species for a
single nutrient with internal storage: Steady state analysis." (with
FengBin Wang) , Commun. Pure Appl. Anal. 10 (2011) ,no.5,14791501 PDF
29. Competition
and coexistence in flowing habitats with a hydraulic storage zone" (with
James P. Grover, FengBin Wang) , Mathematical Biosciences, Vol. 222 (2009),
pp. 4252 PDF
30. "Heteroclinic
cycles in the chemostat models and the winnerless competition principle"
(with LihIng W. Roeger) , JMAA, (2009), PDF
31. "Relaxation
oscillation profile of limit cycle in predatorprey system" (with Junping
Shi) , DCDSB, Vol. 11 (2009), No. 4, pp. 893911 PDF
32. "
Analysis of a Model of Two Parallel Food Chains" (withChristopher A.
Klausmeier, ChiuJu Lin) , DCDSB, Vol. 9 (2009), No. 2,pp. 337359 PDF
33. "Mathematical
Analysi of Two Microbial Species Competing for Two Complementary Resources with
Internal Storages and Different Removal, DilutionRates" (with FernBin
Wang) , Bulletin of the Institute of Mathematics Academia Sinica, Vol. 3
(2008), No. 4, pp. 487508
PDF
34. "
Nonperiodicity of chemostats: a multidimensional negative Bendixson Dulac
criterion" (with Bernold Fiedler) , J. Math. Biology, Vol. 59(2009), No.
2, pp. 233253 PDF
35. "Concentration
Phenomena in a Nonlocal Quasilinear Problem Modelling Phytoplankton I:
Existence" (with YIHONG DU) SIAM Journal of Mathematical Analysis, Vol 40,
p14191440 (2008) PDF
36. "Concentration
Phenomena in a Nonlocal Quasilinear Problem Modelling Phytoplankton II:
Limiting Profile" (with YIHONG DU) SIAM Journal of Mathematical Analysis,
Vol 40, p14411470 (2008) PDF
37. "Competitive
Exclusion of Microbial Species for a SingleNutrient with Internal
Storage" (with TINGHAO HSU) SIAM. J. Appl. Math, Vol 68,(2008) No. 6,
p16001617 PDF
38. "Spreading
Speeds and Traveling Waves for NonMonotone Integrodifference
Equations"(with XIAOQIANG ZHAO) SIAM J. Math. Analysis, , Vol 40,(2008)
No. 2, p776789 PDF
39. "Global
Dynamics of a PredatorPrey Model with HASSELLVARLEY Type Functional
Response" (with TzyWei Hwang, Yang Kuang) Discrete and Continuous
Dynamical System, Series B, Vol 10,(2008) No. 4, p857871 PDF
40. "On
the Role of Asymptomatic Infection in Transmission Dynamics of Infectious
Diseases"(with YingHen Hsieh)Bulletin of Mathematical Biology (2008) 70:
134–155 PDF
42. "The
final size of a SARS epidemic model without quarqntine" (with LihIng W.
Roeger), J. Math. Anal. Appl., 333, (2007), 557566 PDF
43. "Modeling
intervention measures and severitydependent public response during severe
acute respiratory Syndrome Otubreak" (with YingHen Hsieh), SIAM J. Appl.
Math., vol 66, No.2, (2006), 627647 PDF
44. "Constructing
Lyapunov Functions for Mathematical Models in Population Biology",
Taiwanese Journal of Math., vol 9, No.2, (2005), 151173. PDF
45. "A
DiscreteDelayed model with PlasmidBearing, PlasmidFree Competition in a
Chemostat" (with ChengChe Li), DCDS, vol 5, No.3, (2005),
699718. PDF
46. "A
diffusive predatorprey model in heterogeneous environment", (with Yihong
Du), JDE 203(2004) 331364. PDF
47. "A
survey of Mathematical Models of Competition with on inhibitor", (with
Paul Waltman). Math. Biosci. 187(2004) 5391 PDF
48. "The
Severe Acute Respiratory Syndrome Outbreak in Taiwan: Lesson to be learn"
(with YingHen Hsieh, Cathy W. S. Chen) Emerging Infectious Diseases (2004) vol
10,No.2, 201206 PDF
49. "Heteroclinic
Foliation, Global Oscillations for the NicholsonBailey Model and Delay of
Stability Loss" (with MingChia Li, Weishi Liu, Mikhail Malkin) Discrete
and c ontinuous Dynamical Systems ,vol 9,No. 6,(2003),14651492 PDF
50. "A
RatioDepentent Food Chain Model and its Application to Biological
control" (with T.W.Huang ,Y.Kuang) Math.Bios.181(2003)5583 PDF
51. "Plasmidbearing
,plasmidfree organisms Competing for two complementary nutrients in a
chemostat" (with YunHuei Tzeng) Math Bios 179 (2002)183206 PDF
52. "A
model of the effect of anticompetitor toxins on plasmidbearing ,plasmidfree
competition" (P.Waltman) Taiwanese J.Math 6(1)(2002)135155 PDF
53. "Rich
dynamics of a ratiodependent one prey two predator model" (with T.W.Hwang
and Y.Kuang) J.Math.Biology 43 (2001), 377396 PDF
54. "Chaotic
behavior of three competing species of MayLeonard model under small periodic
perturbation ", (with V, Afraimovich, HueyEr Lin ), International J. of
Bifurcation and Chaos, Vol. 11, No. 2 (2001) 435447. PDF
55. "Global
Analysis of the MichaelisMenten type ratiodependence predatorprey
system", (with T. W. Hwang and Y. Kuang), J. Math. Biol.(2001), 42,
489506. PDF
56. "Stability
analysis for a class of diffusive coupled system with applications to
population biology ", (with RueyTarng Gong), Canadian Applied Math.
Quarterly (2000) Vol. 8, P. 7996. PDF
57. "Competition
in the presence of a lethal external inhibitor",(with YenSheng Li and
Paul Waltman), Math. Bioscience 167(2000)177199. PDF
58. "Hopf
Bifurcation Analysis for a PredatorPrey system of Holling and Leslie
type", (with T.W. Hwang), {Taiwanese Journal of Mathematics}, (1999) Vol.
3, No. 1, p.3553. PDF
59. "Extinction
of top predator in a three level food chain model", (with C.H. Chiu), {J.
Math. Biology}, (1998) vol. 37, P.372380. PDF
60. "Competition
in the chemostat when one competitor produces a toxin", (with P. Waltman)
{Japan SIAM J. Applied Mathematics} (1998), Vol. 15, No. 3
p.471490. PDF
61. "Uniqueness
of limit cycles for a PredatorPrey system of Holling and Leslie type",
(with T.W. Hwang), {Quarterly Canadian Applied Mathematics}, (1998) Vol. 6, No.
2, p.91117. PDF
62. "Competition
between PlasmidBearing and PlasmidFree organisms in selective media",
(with P. Waltman), {\mbs Chemical Engineering Science}, Vol. 52 (1997),
2335. PDF
63. "On
the asymmetric MayLeonard model of three competing species",(with
ChiaWei Chi and LihIng Wu), {SIAM J. of Applied Math.}, Vol. 58, No. 1,
p.211226 (1998). PDF
64. "Competitive
exclusion and coexistence for competitive system on ordered Banach space",
(with H.L. Smith and P. Waltman), {AMS Transaction}, Vol. 348 (1996),
40834094. PDF
65. "Competition
between PlasmidBearing and PlasmidFree organisms in a chemostat with inhibitor",
(with T.K. Luo and P. Waltman), {J. of Math. Biology}, Vol. 34 (1995),
225238. PDF
66. "Global
analysis of a model of PlasmidBearing, PlasmidFree competition in a
chemostat with inhibitions", (with T.K. Luo), {J. of Math. Biology}, Vol.
34 (1995), 4176. PDF
67. "Global
stability for a class of PredatorPrey systems", (with TzyWei Huang),
{SIAM J. Appl. Math.}, Vol. 55, No. 3 (1995), 763783. PDF
68. "Global
analysis of a model of PlasmidBearing, PlasmidFree competition in a
chemostat", (with P. Waltman and G. Wolkowicz), {Journal of Mathematical
Biology} 32 (1994), 731742. PDF
69. "Dynamics
of competition in the unstirred chemostat", (with H. Smith and P.
Waltman), {Canadian Appl. Math. Quarterly} (1994), 461483. PDF
70. "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) 435445. PDF
71. "On
a system of ReactionDiffusion equations arising from competition in an
unstirred chemostat", (with P.E. Waltman), {SIAM J. Appl. Math.}, Vol. 53,
No. 4, (1993), 10261044. PDF
72. "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),
528540. PDF
73. "A
mathematical model of chemostat with periodic washout rate", (with Butler,
Waltman), {SIAM, J. Appl. math.}, Vol. 45, No. 3, (1985), 435449. PDF
74. "Steady
state of a system of P.D.E. modeling microbial ecology", {SIAM J. Math.
Analysis}, Vol. 14 (1983), 11301138. PDF
75. "Coexistence
of competing predator in a chemostat", (with G.J. Butler and P.E.
Waltman), {J. Math. Biology}, 17 (1983), 133151. PDF
76. "A
remark on the period of periodic solutions in the LotkaVolterra system",
{J. Math. Analysis and Application}, Vol. 95, No. 2, (1983), 428436. PDF
77. "PredatorMediated
coexistence and extinction", {Math. Bios.}, 54 (1981), 231248. PDF
78. "Exploitative
competition of two MicroOrganisms for two complementary nutrients in a
continuous culture", (with Cheng, Hubbell), {SIAM J. App. Math.}, (1981),
422444. PDF
79. "Some
results on global stability of a PredatorPrey system", (with S.S. Lin
and Cheng), {J. Math., Biology}, 12 (1981), 115126.PDF
80. "On
a resource based ecological competition model with interference", {J.
Math. Biology}, 12 (1981), 4552.PDF
81. "A
competition model for a seasonally flluctuating nutrient", {J. Math.
Biology}, 9 (1980), 115132. PDF
82. "Two
predators competing for two prey species¡G An analysis of MacArthur's
model", (with Hubbell), {Math. Biocience} 43 (1979), 143171. PDF
83. "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)
107152. PDF
84. "Competing
predator", (with Waltman, Hubbell), {SIAM J. Appl math.}, Vol. 135, No. 4
(1978), 617625.PDF
85. "A
contribution to the theory of competing predators", (with Waltman,
Hubbell), Ecological Monograph, 38 (1978), 337349. PDF
86. "Limiting
behavior for competing species", SIAM, J. Appl. Math., Vol. 34, No. 4
(1978), 760763.
PDF
87. "On
global stability of a PredatorPrey system", Math. Bioscience, 39 (1978),
110. PDF
88. "The
application of the PoincareTransform to the LotkaVolterra model", J.
Math. Biology, 6 (1978), 6773.
PDF
89. "A
mathematical theory for SingleNutrient competition in continuous culture of
MicroOrganisms", (with Waltman, Hubbell), SIAM J. Appl. Math. Vol. 32,
No. 2 (1977), 366382.
PDF
1. "THE SPECTRUM OF CHAOTIC TIME SERIES (II): WAVELET ANALYSIS" (with GOONG CHEN, YU HUANG, and MARCO A. ROQUESOL) International Journal of Bifurcation and Chaos, Vol. 21, No. 5 (2011) 1457–1467 PDF
2. "THE SPECTRUM OF CHAOTIC TIME SERIES (I): FOURIER ANALYSIS" (with GOONG CHEN, YU HUANG, and MARCO A. ROQUESOL) International Journal of Bifurcation and Chaos, Vol. 21, No. 5 (2011) 1439–145 PDF
3. "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
4. "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) 965982 PDF
5. "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) 535559 PDF
6. "Chaotic Vibration of the Wave Equation by Nonlinear Feedback Boundary Control", Chapter 7, p.131154, {Controlling Chaos and Bifurcation in Engineering}, CRC Press, edited by Guangrong Chen (1999). PDF
7. "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.64596489. PDF
8. "Chaotic vibration of the onedimensional wave equation due to a selfexcitation 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.447470. PDF
9. "Chaotic vibration the onedimensional wave equation due to a selfexcitation 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.423445. PDF
10. "Chaotic vibrations of the OneDimensional wave equation due to a SelfExcitation boundary condition, Part I¡Gcontrolled hysteresis", (with G. Chen and J. Zhou), { AMS Transaction}, (1998) Vol. 350, No. 11, p.42654311. PDF
11. "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), 15091527. PDF
III.
Mechanics and Gas Dynamics
1. Classification of potential flows under renormalization group transforms (with Bernold Fiedler and HsuiHau Lin) ,Discrete Continuous Dynamical System Series B, 21(2016) no.2, 437446. PDF
2. Hierarchy of relevant couplings in perturbative renormalization group transformations" (with HongYan Shih, WenMing Huang, and HsiuHau Lin1) Physical review B 81 ([1] 2010) PDF
3. "Mathematical Analysis of a Bohr Atom Model" (with Goong Chen et) , to appear in Journal of Mathematical Physics . PDF
4. "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), 10971112. PDF
5. "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), 2037. PDF
6. "Nonlinear singular SturmLiouville problem and application to transonic flow through a nozzle", (with TaiPing Liu), {\mbs Communication in Pure and Applied Mathematics}, Vol. XLIII (1990), 3161. PDF
7. "Uniqueness property of large deformation of a heavy cantilever",{Bulltin of the Institute of Mathematics Academia Sinica}, Vol. 17, No. 3 (1989), 193204. PDF
8. "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), 109114.
9.
"Anlaysis of large
deformation of heavy cantilever", (with S.F. Hwang), {SIAM J. Math.
Analysis}, Vol. 19, No. 4 (1988), 854866.
PDF