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姓名 | 許世壁 |
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聯絡電話 | 03-571-5131 ext. 31052 |
傳真 | 03-572-3888 |
聯絡地址 | 綜三館620室 |
個人網站 | http://www.math.nthu.edu.tw/~sbhsu/ |
學歷 | 美國愛荷華大學,數學系,博士 |
經歷 | 國立清華大學,數學系,教授,1996/08- , 國立清華大學,應用數學所,教授,1985/08-1996/07, 國立交通大學,應用數學系,副教授、教授,1979/08-1985/07, Univ. Of Utah,數學系,Instructor,1976/08-1979/07 |
類別 | 退休教師 |
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職稱 | 教授 |
研究專長 | 生物數學、動態系統 |
指導學生 | 102,碩士班,張雅茜 102,博士班,林秋如 100,碩士班,廖偉呈、陳俞碩 98,博士班,王埄彬 97,碩士班,劉英傑、賴維鈞, 96,碩士班,許庭豪, 95,碩士班,林秋如, 94,博士班,曾雲輝, 91,碩士班,龔一鴻、郭鴻文, 90,碩士班,曾雲輝、王捀彬, 89,碩士班,李資敏, 88,碩士班,魏子超, 87,博士班,邱創雄, 87,碩士班,酆士昌、李燕翔, 84,博士班,羅廷剛, 84,碩士班,陳全境, 83,碩士班,紀家瑋、郭章益, 82,碩士班,焦金勝、黃明清、毛立甫, 80,博士班,龔瑞堂, 80,碩士班,楊英杰、吳麗櫻, 79,碩士班,賴明治, 78,碩士班,侯靜芳, 77,碩士班,黃志賢、田慧君, 75,碩士班,賴坤業 |
其他著作
- 專書
- Ordinary Differential Equations with Applications, World Scientific Press
- Lecture on Chaotic Dynamical Systems, (with Valentin Afraimovich), International Press (with 350 pages), (2003).
- 非線性聯立方程數值方法 (國立編繹館) (1988).
- Ordinary Differential Equations with Applications, World Scientific Press
- 研討會論文
- "Nonlinear Boundary Feedback Control of the One-Dimensional Wave Equation" (with Goong Chen and Tingwen Huang), Proceeding of 39th IEEE Control & Decision Conference, Dec 12-15,2000.
- "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.
- "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 Tai-Ping 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. 103--123 (1985).
- "Nonlinear Boundary Feedback Control of the One-Dimensional Wave Equation" (with Goong Chen and Tingwen Huang), Proceeding of 39th IEEE Control & Decision Conference, Dec 12-15,2000.
- 期刊論文
- 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, To appear
- Spreading Speeds and Traveling Waves for Non-Monotone Integrodifference Equations(with XIAO-QIANG ZHAO) SIAM J. Math. Analysis, To appear
- Competitive Exclusion of Microbial Species for a Single-Nutrient with Internal Storage (with TING-HAO HSU) SIAM. J. Appl. Math, To appear
- On the Role of Asymptomatic Infection in Transmission Dynamics of Infectious Diseases(with Ying-Hen Hsieh)Bulletin of Mathematical Biology (2008) 70: 134–155
- Impact of quarantine on the 2003 SARS outbreak: A retrospective modeling study (with Ying-Hen Hsieh et) Journal of Theoretiacl Biology, 244(2007),729-736
- The final size of a SARS epidemic model without quarantine (with Lih-Ing W. Roeger), J. Math. Anal. Appl. 333(2007), 557-566
- Mathematical Analysis of a Bohr Atom Model (with Goong Chen et) J. Math. Physics.
- Modeling intervention and severity-dependent public response during severe acute respiratory syndrome outbreak (with Ying-Hen Hsieh) SIAM J. Applied Math. Vol. 66, No.2, (2006) 627-648
- 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
- Constructing Lyapunov functions for mathematical models in population biology, Taiwanese Journal of Mathematics,Vol 9, No.2,(2005), 151-173
- A discrete-delayed model with plasmid-bearing, plasmid-free competition in chemostat (with Cheng-Che Li), Discrete and Continuous Dynamical Systems, Vol 5,No.3 (2005),699-718
- "A Survey of Mathematical Models of Competition with an inhibitor" (with Paul Waltman) Math. Bioscience 187(2004), 53-91
- "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
- A diffusive predator-prey model in heterogeneous environment (with Du Yihong) , JDE 203 (2004) ,331-364
- "A Ratio-Depentent Food Chain Model and its Application to Biological control" (with T.W.Huang ,Y.Kuang) Math.Bios.181(2003)55-83
- "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 Nicholson-Bailey Model and Delay of Stability Loss" (with Ming-Chia Li, Weishi Liu, Mikhail Malkin) Discrete and ontinuous Dynamical Systems ,vol 9,No. 6,(2003),1465-1492
- "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
- "Plasmid-bearing ,plasmid-free organisms Competing for two complementary nutrients in a chemostat" (with Yun-Huei Tzeng) Math Bios 179 (2002)183-206
- "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
- "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
- "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.
- "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.
- "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
- "Competition in the presence of a lethal external inhibitor",(with Yen-Sheng Li and Paul Waltman), Math. Bioscience 167(2000)177-199.
- "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.
- "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.
- "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).
- "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).
- "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.
- "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
- "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.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.471-490.
- "Extinction of top predator in a three level food chain model", (with C.H. Chiu), {J. Math. Biology}, (1998) vol. 37, P.372-380.
- "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.
- "Competition between Plasmid--Bearing and Plasmid--Free organisms in selective media", (with P. Waltman), {\mbs Chemical Engineering Science}, Vol. 52 (1997), 23-35.
- "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.
- "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.
- "Global stability for a class of Predator--Prey systems", (with Tzy--Wei Huang), {SIAM J. Appl. Math.}, Vol. 55, No. 3 (1995), 763-783.
- "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.
- "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.
- "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.
- "Dynamics of competition in the unstirred chemostat", (with H. Smith and P. Waltman), {Canadian Appl. Math. Quarterly} (1994), 461-483.
- "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.
- "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.
- "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.
- "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.
- "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.
- "Uniqueness property of large deformation of a heavy cantilever",{Bulltin of the Institute of Mathematics Academia Sinica}, Vol. 17, No. 3 (1989), 193-204.
- "Anlaysis of large deformation of heavy cantilever", (with S.F. Hwang), {SIAM J. Math. Analysis}, Vol. 19, No. 4 (1988), 854-866.
- "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.
- "A mathematical model of chemostat with periodic washout rate", (with Butler, Waltman), {SIAM, J. Appl. math.}, Vol. 45, No. 3, (1985), 435-449.
- "A remark on the period of periodic solutions in the Lotka--Volterra system", {J. Math. Analysis $\&$ Application}, Vol. 95, No. 2, (1983), 428-436.
- "Coexistence of competing predator in a chemostat", (with G.J. Butler and P.E. Waltman), {J. Math. Biology}, 17 (1983), 133-151.
- "Steady state of a system of P.D.E. modeling microbial ecology", {SIAM J. Math. Analysis}, Vol. 14 (1983), 1130-1138.
- "On a resource based ecological competition model with interference", {J. Math. Biology}, 12 (1981), 45-52.
- "Some results on global stability of a Predator--Prey system", (with S.S. Lin and Cheng), {J. Math., Biology}, 12 (1981), 115-126.
- "Exploitative competition of two Micro--Organisms for two complementary nutrients in a continuous culture", (with Cheng, Hubbell), {SIAM J. App. Math.}, (1981), 422-444.
- "Predator--Mediated coexistence and extinction", {Math. Bios.}, 54 (1981), 231-248.
- "A competition model for a seasonally flluctuating nutrient", {J. Math. Biology}, 9 (1980), 115-132.
- "Two predators competing for two prey species!G An analysis of MacArthur's model", (with Hubbell), {Math. Biocience} 43 (1979), 143-171.
- "The application of the Poincare--Transform to the Lotka--Volterra model", {J. Math. Biology}, 6 (1978), 67-73.
- "On global stability of a Predator--Prey system", {Math. Bioscience}, 39 (1978), 1-10.
- "Limiting behavior for competing species", {SIAM, J. Appl. Math.}, Vol. 34, No. 4 (1978), 760-763.
- "A contribution to the theory of competing predators", (with Waltman, Hubbell), {Ecological Monograph} 38 (1978), 337-349.
- "Competing predator", (with Waltman, Hubbell), {SIAM J. Appl math.}, Vol. 135, No. 4 (1978), 617-625.
- "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.
- "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.
- 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, To appear
- 預覽樣本
- Mathematical Analysis of Borh's Atom Model (with Goong Chen, Jianxin Zhou,Ding Zonghai) To appear in Journal of Mathematics Physics
- Mathematical Analysis of Borh's Atom Model (with Goong Chen, Jianxin Zhou,Ding Zonghai) To appear in Journal of Mathematics Physics