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Name  SzeBi Hsu 

Telephone number  035715131 ext. 31052 
Fax  035723888 
Contact address  R719, General Building III 
Personal website  http://www.math.nthu.edu.tw/~sbhsu/ 
Educational qualification  Ph.D. of Mathematics, University of Iowa 
Work Experiences  Department of Mathematics, University of Utah,19761979, Instructor Department of Applied Mathematics, National ChiaoTung University, 19701980, Associate Professor, 19801985, Professor Institute of Applied Mathematics, National TsingHua University,19851996,Professor Department of Mathematics, National TsingHua University, 1996present, Professor 
Category  Emeritus Professor 

Job title  Professor 
Discipline  
Research expertise  Mathematical Biology, Dynamical Systems 
Writing
 Books

 Conferences & Symposiums Papers
 "Nonlinear Boundary Feedback Control of the OneDimensional Wave Equation" (with Goong Chen and Tingwen Huang), Proceeding of 39th IEEE Control & Decision Conference, Dec 1215,2000.
 "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.
 "Models in microbial ecology and related problems in ordinary and partial differential equations", Mathematical Topics in Biology,京都大學數理解析研究所(1993).
 "Local uniqueness of interior layer solution and its related stability property", (with TaiPing Liu), Conference on Nonlinear Analysis edited by F.C. Liu and T.P. Liu (1989).
 "Differential equation modeling microbial ecology", Proceedings of Seminar on Differential Equation, Hsinchu, Taiwan, p. 103123 (1985).
 "Nonlinear Boundary Feedback Control of the OneDimensional Wave Equation" (with Goong Chen and Tingwen Huang), Proceeding of 39th IEEE Control & Decision Conference, Dec 1215,2000.
 Research Reports
 Global Dynamics of a PredatorPrey Model with HASSELLVARLEY Type Functional Response (with TzyWei Hwang, Yang Kuang) Discrete and Continuous Dynamical System, Series B, To appear
 Spreading Speeds and Traveling Waves for NonMonotone Integrodifference Equations(with XIAOQIANG ZHAO) SIAM J. Math. Analysis, To appear
 Competitive Exclusion of Microbial Species for a SingleNutrient with Internal Storage (with TINGHAO HSU) SIAM. J. Appl. Math, To appear
 On the Role of Asymptomatic Infection in Transmission Dynamics of Infectious Diseases(with YingHen Hsieh)Bulletin of Mathematical Biology (2008) 70: 134–155
 Impact of quarantine on the 2003 SARS outbreak: A retrospective modeling study (with YingHen Hsieh et) Journal of Theoretiacl Biology, 244(2007),729736
 The final size of a SARS epidemic model without quarantine (with LihIng W. Roeger), J. Math. Anal. Appl. 333(2007), 557566
 Mathematical Analysis of a Bohr Atom Model (with Goong Chen et) J. Math. Physics.
 Modeling intervention and severitydependent public response during severe acute respiratory syndrome outbreak (with YingHen Hsieh) SIAM J. Applied Math. Vol. 66, No.2, (2006) 627648
 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
 Constructing Lyapunov functions for mathematical models in population biology, Taiwanese Journal of Mathematics,Vol 9, No.2,(2005), 151173
 A discretedelayed model with plasmidbearing, plasmidfree competition in chemostat (with ChengChe Li), Discrete and Continuous Dynamical Systems, Vol 5,No.3 (2005),699718
 "A Survey of Mathematical Models of Competition with an inhibitor" (with Paul Waltman) Math. Bioscience 187(2004), 5391
 "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
 A diffusive predatorprey model in heterogeneous environment (with Du Yihong) , JDE 203 (2004) ,331364
 "A RatioDepentent Food Chain Model and its Application to Biological control" (with T.W.Huang ,Y.Kuang) Math.Bios.181(2003)5583
 "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 Guanron
 "Heteroclinic Foliation, Global Oscillations for the NicholsonBailey Model and Delay of Stability Loss" (with MingChia Li, Weishi Liu, Mikhail Malkin) Discrete and ontinuous Dynamical Systems ,vol 9,No. 6,(2003),14651492
 "A model of the effect of anticompetitor toxins on plasmidbearing ,plasmidfree competition" (P.Waltman) Taiwanese J.Math 6(1)(2002)135155
 "Plasmidbearing ,plasmidfree organisms Competing for two complementary nutrients in a chemostat" (with YunHuei Tzeng) Math Bios 179 (2002)183206
 "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
 "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
 "Global Analysis of the MichaelisMenten type ratiodependence predatorprey system", (with T. W. Hwang and Y. Kuang), J. Math. Biol.(2001), 42, 489506.
 "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.
 "Rich dynamics of a ratiodependent one prey two predator model" (with T.W.Hwang and Y.Kuang) J.Math.Biology 43 (2001), 377396
 "Competition in the presence of a lethal external inhibitor",(with YenSheng Li and Paul Waltman), Math. Bioscience 167(2000)177199.
 "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.
 "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.
 "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).
 "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).
 "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.
 "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
 "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.4
 "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.
 "Extinction of top predator in a three level food chain model", (with C.H. Chiu), {J. Math. Biology}, (1998) vol. 37, P.372380.
 "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.
 "Competition between PlasmidBearing and PlasmidFree organisms in selective media", (with P. Waltman), {\mbs Chemical Engineering Science}, Vol. 52 (1997), 2335.
 "Competitive exclusion and coexistence for competitive system on ordered Banach space", (with H.L. Smith and P. Waltman), {AMS Transaction}, Vol. 348 (1996), 40834094.
 "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.
 "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.
 "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.
 "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.
 "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.
 "Dynamics of competition in the unstirred chemostat", (with H. Smith and P. Waltman), {Canadian Appl. Math. Quarterly} (1994), 461483.
 "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.
 "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.
 "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.
 "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.
 "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.
 "Uniqueness property of large deformation of a heavy cantilever",{Bulltin of the Institute of Mathematics Academia Sinica}, Vol. 17, No. 3 (1989), 193204.
 "Anlaysis of large deformation of heavy cantilever", (with S.F. Hwang), {SIAM J. Math. Analysis}, Vol. 19, No. 4 (1988), 854866.
 "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.
 "A mathematical model of chemostat with periodic washout rate", (with Butler, Waltman), {SIAM, J. Appl. math.}, Vol. 45, No. 3, (1985), 435449.
 "A remark on the period of periodic solutions in the LotkaVolterra system", {J. Math. Analysis $\&$ Application}, Vol. 95, No. 2, (1983), 428436.
 "Coexistence of competing predator in a chemostat", (with G.J. Butler and P.E. Waltman), {J. Math. Biology}, 17 (1983), 133151.
 "Steady state of a system of P.D.E. modeling microbial ecology", {SIAM J. Math. Analysis}, Vol. 14 (1983), 11301138.
 "On a resource based ecological competition model with interference", {J. Math. Biology}, 12 (1981), 4552.
 "Some results on global stability of a PredatorPrey system", (with S.S. Lin and Cheng), {J. Math., Biology}, 12 (1981), 115126.
 "Exploitative competition of two MicroOrganisms for two complementary nutrients in a continuous culture", (with Cheng, Hubbell), {SIAM J. App. Math.}, (1981), 422444.
 "PredatorMediated coexistence and extinction", {Math. Bios.}, 54 (1981), 231248.
 "A competition model for a seasonally flluctuating nutrient", {J. Math. Biology}, 9 (1980), 115132.
 "Two predators competing for two prey species!G An analysis of MacArthur's model", (with Hubbell), {Math. Biocience} 43 (1979), 143171.
 "The application of the PoincareTransform to the LotkaVolterra model", {J. Math. Biology}, 6 (1978), 6773.
 "On global stability of a PredatorPrey system", {Math. Bioscience}, 39 (1978), 110.
 "Limiting behavior for competing species", {SIAM, J. Appl. Math.}, Vol. 34, No. 4 (1978), 760763.
 "A contribution to the theory of competing predators", (with Waltman, Hubbell), {Ecological Monograph} 38 (1978), 337349.
 "Competing predator", (with Waltman, Hubbell), {SIAM J. Appl math.}, Vol. 135, No. 4 (1978), 617625.
 "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.
 "A mathematical theory for SingleNutrient competition in continuous culture of MicroOrganisms", (with Waltman, Hubbell), {SIAM J. Appl. Math.} Vol. 32, No. 2 (1977), 366382.
 Global Dynamics of a PredatorPrey Model with HASSELLVARLEY Type Functional Response (with TzyWei Hwang, Yang Kuang) Discrete and Continuous Dynamical System, Series B, To appear
 Preprint
