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, 20042005Award
MOE Science Award, 2005
MOE National Chair Professor (Feb.1,2011Jan.31, 2014)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
There are three parts:
II.: Chaotic Vibrating Strings
III.: Mechanics and Gas Dynamics
"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
"A LotkaVolterra Competition model with season succession" (with Xiaoqiang Zhao) J. Math. Biology (2012), 64,p.109130 PDF
"Synchronized reproduction promotes species coexistence through reproductive facilitation"(with YuYun Chen), J.Theoretical Biology 274(2011), pp 136144 PDF
"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
"On a nonlocal reactiondiffusion problem arising from the modeling phytoplankton growth" (with Yihong Du), SIAM J. Math. Analysis 42 (2010), pp 13051333 PDF
"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
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
"Heteroclinic cycles in the chemostat models and the winnerless competition principle" (with LihIng W. Roeger) , JMAA, (2009), PDF
"Relaxation oscillation profile of limit cycle in predatorprey system" (with Junping Shi) , DCDSB, Vol. 11 (2009), No. 4, pp. 893911 PDF
" Analysis of a Model of Two Parallel Food Chains" (withChristopher A. Klausmeier, ChiuJu Lin) , DCDSB, Vol. 9 (2009), No. 2,pp. 337359 PDF
"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
" Nonperiodicity of chemostats: a multidimensional negative Bendixson Dulac criterion" (with Bernold Fiedler) , J. Math. Biology, Vol. 59(2009), No. 2, pp. 233253 PDF
"Concentration Phenomena in a Nonlocal Quasilinear Problem Modelling Phytoplankton I: Existence" (with YIHONG DU) SIAM Journal of Mathematical Analysis, Vol 40, p14191440 (2008) PDF
"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
"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
"Spreading Speeds and Traveling Waves for NonMonotone Integrodifference Equations"(with XIAOQIANG ZHAO) SIAM J. Math. Analysis, , Vol 40,(2008) No. 2, p776789 PDF
"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
"On the Role of Asymptomatic Infection in Transmission Dynamics of Infectious Diseases"(with YingHen Hsieh)Bulletin of Mathematical Biology (2008) 70: 134–155 PDF
"The final size of a SARS epidemic model without quarqntine" (with LihIng W. Roeger), J. Math. Anal. Appl., 333, (2007), 557566 PDF
"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
"Constructing Lyapunov Functions for Mathematical Models in Population Biology", Taiwanese Journal of Math., vol 9, No.2, (2005), 151173. PDF
"A DiscreteDelayed model with PlasmidBearing, PlasmidFree Competition in a Chemostat" (with ChengChe Li), DCDS, vol 5, No.3, (2005), 699718. PDF
"A diffusive predatorprey model in heterogeneous environment", (with Yihong Du), JDE 203(2004) 331364. PDF
"A survey of Mathematical Models of Competition with on inhibitor", (with Paul Waltman). Math. Biosci. 187(2004) 5391 PDF
"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
"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
"A RatioDepentent Food Chain Model and its Application to Biological control" (with T.W.Huang ,Y.Kuang) Math.Bios.181(2003)5583 PDF
"Plasmidbearing ,plasmidfree organisms Competing for two complementary nutrients in a chemostat" (with YunHuei Tzeng) Math Bios 179 (2002)183206 PDF
"A model of the effect of anticompetitor toxins on plasmidbearing ,plasmidfree competition" (P.Waltman) Taiwanese J.Math 6(1)(2002)135155 PDF
"Rich dynamics of a ratiodependent one prey two predator model" (with T.W.Hwang and Y.Kuang) J.Math.Biology 43 (2001), 377396 PDF
"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
"Global Analysis of the MichaelisMenten type ratiodependence predatorprey system", (with T. W. Hwang and Y. Kuang), J. Math. Biol.(2001), 42, 489506. PDF
"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
"Competition in the presence of a lethal external inhibitor",(with YenSheng Li and Paul Waltman), Math. Bioscience 167(2000)177199. PDF
"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
"Extinction of top predator in a three level food chain model", (with C.H. Chiu), {J. Math. Biology}, (1998) vol. 37, P.372380. PDF
"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
"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
"Competition between PlasmidBearing and PlasmidFree organisms in selective media", (with P. Waltman), {\mbs Chemical Engineering Science}, Vol. 52 (1997), 2335. PDF
"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
"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
"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
"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
"Global stability for a class of PredatorPrey systems", (with TzyWei Huang), {SIAM J. Appl. Math.}, Vol. 55, No. 3 (1995), 763783. PDF
"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
"Dynamics of competition in the unstirred chemostat", (with H. Smith and P. Waltman), {Canadian Appl. Math. Quarterly} (1994), 461483. PDF
"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
"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
"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
"A mathematical model of chemostat with periodic washout rate", (with Butler, Waltman), {SIAM, J. Appl. math.}, Vol. 45, No. 3, (1985), 435449. PDF
"Steady state of a system of P.D.E. modeling microbial ecology", {SIAM J. Math. Analysis}, Vol. 14 (1983), 11301138. PDF
"Coexistence of competing predator in a chemostat", (with G.J. Butler and P.E. Waltman), {J. Math. Biology}, 17 (1983), 133151. PDF
"A remark on the period of periodic solutions in the LotkaVolterra system", {J. Math. Analysis and Application}, Vol. 95, No. 2, (1983), 428436. PDF
"PredatorMediated coexistence and extinction", {Math. Bios.}, 54 (1981), 231248. PDF
"Exploitative competition of two MicroOrganisms for two complementary nutrients in a continuous culture", (with Cheng, Hubbell), {SIAM J. App. Math.}, (1981), 422444. PDF
"Some results on global stability of a PredatorPrey system", (with S.S. Lin and Cheng), {J. Math., Biology}, 12 (1981), 115126.PDF
"On a resource based ecological competition model with interference", {J. Math. Biology}, 12 (1981), 4552.PDF
"A competition model for a seasonally flluctuating nutrient", {J. Math. Biology}, 9 (1980), 115132. PDF
"Two predators competing for two prey species¡G An analysis of MacArthur's model", (with Hubbell), {Math. Biocience} 43 (1979), 143171. PDF
"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
"Competing predator", (with Waltman, Hubbell), {SIAM J. Appl math.}, Vol. 135, No. 4 (1978), 617625.PDF
"A contribution to the theory of competing predators", (with Waltman, Hubbell), Ecological Monograph, 38 (1978), 337349. PDF
"Limiting behavior for competing species", SIAM, J. Appl. Math., Vol. 34, No. 4 (1978), 760763. PDF
"On global stability of a PredatorPrey system", Math. Bioscience, 39 (1978), 110. PDF
"The application of the PoincareTransform to the LotkaVolterra model", J. Math. Biology, 6 (1978), 6773. PDF
"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
"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
"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
"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
"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
"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
"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
"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
"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
"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
"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
"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
"Hierarchy of relevant couplings in perturbative renormalization group transformations" (with HongYan Shih, WenMing Huang, and HsiuHau Lin1) Physical review B 81 ( 2010) PDF
"Mathematical Analysis of a Bohr Atom Model" (with Goong Chen et) , to appear in Journal of Mathematical Physics . PDF
"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
"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
"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
"Uniqueness property of large deformation of a heavy cantilever",{Bulltin of the Institute of Mathematics Academia Sinica}, Vol. 17, No. 3 (1989), 193204. PDF
"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.
"Anlaysis of large deformation of heavy cantilever", (with S.F. Hwang), {SIAM J. Math. Analysis}, Vol. 19, No. 4 (1988), 854866. PDF