郭忠勝 Guo, Jong-Shenq

特聘研究講座教授

美國明尼蘇達大學博士

經歷

  • 2010/08~2011/07　淡江大學　教授
  • 1995/08~2010/07　國立台灣師範大學　教授
  • 1994/08~1995/07　國立清華大學　教授
  • 1989/08~1994/07　國立清華大學　副教授

聯絡資訊

研究領域

  • 偏微分方程
  • 生物數學
  • 應用數學
  • 波動理論

講授課程

  • 幾何學 (數學組)

教學資訊

論文著作與研究成果

期刊論文
會議論文
研究報告
研發處研究計畫(科技部)
期刊論文

學年度 論文名稱 出版(發表)日期
110 Persistence of species in a predator-prey system with climate change and either nonlocal or local dispersal 2021-11-25
110 Stabilization to a positive equilibrium for some reaction-diffusion systems 2021-12-01
109 Traveling wave solutions for a three-species predator-prey model with two aborigine preys 2021-06-15
109 Recent developments on a singular predator-prey model 2021-04-01
109 Persistence of preys in a diffusive three species predator-prey system with a pair of strong-weak competing preys 2021-04-25
109 Traveling wave solutions for some three-species predator-prey systems 2021-01-31
109 Asymptotic spreading speeds for a predator-prey system with two predators and one prey 2021-01-26
109 The spreading speed of an SIR epidemic model with nonlocal dispersal 2020-10-06
109 Traveling wave solutions for a predator-prey system with two predators and one prey 2020-08-01
109 The structure of stationary solutions to a micro-electro mechanical system with fringing field 2020-10-31
108 Existence of traveling wave solutions to a nonlocal scalar equation with sign-changing kernel 2020-07-15
108 The sign of traveling wave speed in bistable dynamics 2020-06-01
108 The spreading speed and the minimal wave speed of a predator-prey system with nonlocal dispersal 2019-10-01
107 Entire solutions originating from traveling fronts for a two-species competition-diffusion system 2019-07-26
107 Stability and uniqueness of traveling waves for a discrete bistable 3-species competition system 2019-04-15
107 Behaviors of Solutions for a Singular Prey–Predator Model and its Shadow System 2018-09-01
107 Entire solutions originating from monotone fronts to the Allen–Cahn equation 2018-09-01
107 Excluding blowup at zero points of the potential by means of Liouville-type theorems 2018-11-15
106 Quenching rate for a nonlocal problem arising in the micro-electro mechanical system 2018-03-01
106 Spatio-temporal oscillation for a singular predator-prey model 2018-03-01
106 Asymptotic behavior of solutions to a class of diffusive predator-prey systems 2018-06-01
105 Traveling waves for a lattice dynamical system arising in a diffusive endemic model 2017-05-02
105 Existence of rotating spots with spatially dependent feedback in the plane in a wave front interaction model 2017-06-01
105 Traveling wave solutions for a discrete diffusive epidemic model 2016-09-30
105 Self-similar solutions for a quenching problem with spatially dependent nonlinearity 2016-12-01
105 Traveling wave solutions for a continuous and discrete diffusive predator-prey model 2017-01-01
104 On a free boundary problem for the curvature flow with driving force 2016-03-16
104 The minimal speed of traveling wave solutions for a diffusive three species competition system 2015-12-01
104 On the dead-core problem for the p-Laplace equation with a strong absorption 2015-12-16
104 The existence of traveling wave solutions for a bistable three-component lattice dynamical system 2016-01-15
103 No Touchdown at Zero Points of the Permittivity Profile for the MEMS Problem 2015-02-01
103 Dynamics for a two-species competition–diffusion model with two free boundaries 2014-11-25
103 Recent developments on a nonlocal problem arising in the micro-electro mechanical system 2014-09-01
102 Hyperbolic quenching problem with damping in the micro-electro mechanical system device 2014-03-01
102 The sign of the wave speed for the Lotka-Volterra competition-diffusion system 2013-09-01
102 Erratum to: The Minimal Speed of Traveling Fronts for the Lotka–Volterra Competition System 2013-12-01
102 Entire solutions for a discrete diffusive equation with bistable convolution type nonlinearity 2013-09-01
102 On the dead-core rates for a parabolic equation with strong absorption 2013-12-01
101 Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity 2013-05-01
101 Dynamics for a complex-valued heat equation with an inverse nonlinearity 2013-04-01
101 Existence of a rotating wave pattern in a disk for a wave front interaction model 2013-03-01
101 On a Free Boundary Problem for a Two-Species Weak Competition System 2012-12-01
101 Blow-up for a reaction-diffusion equation with variable coefficient 2013-01-01
101 Dead-core rates for the porous medium equation with a strong absorption 2012-09-01
101 Recent developments on wave propagation in 2-species competition systems 2012-11-01
101 Existence and uniqueness of rigidly rotating spiral waves by a wave front interaction model 2012-10-01
100 Propagation and blocking in periodically hostile environments 2012-06-01
100 On a nonlocal parabolic problem arising in electrostatic MEMS control 2012-05-01
100 Global existence of solution to a nonlocal parabolic problem modeling linear friction welding 2012-02-01
100 Traveling wave front for a two-component lattice dynamical system arising in competition models 2012-04-01
100 Quenching behaviour for a singular predator–prey model 2012-07-01
100 Traveling wave solution for a lattice dynamical system with convolution type nonlinearity 2012-01-01
99 The Minimal Speed of Traveling Fronts for the Lotka–Volterra Competition System 2011-06-01
99 Motion by curvature of planar curves with end points moving freely on a line 2011-06-01
99 Wave propagation for a two-component lattice dynamical system arising in strong competition models 2011-04-01
99 Blow-up Behavior for a Parabolic Equation With Spatially Dependent Coefficient 2010-08-01
99 Blowing up at zero points of potential for an initial boundary value problem 2011-01-01

會議論文

學年度 論文名稱 出版(發表)日期
107 The spreading speed of a predator-prey system with nonlocal dispersal 2018-10-31
107 On a predator-prey system with nonlocal dispersal 2018-11-12
107 Can two weak competitors wipe out a strong competitor in a 3-species competition system? 2019-01-21
106 Some recent developments on a singular predator-prey model 2018-06-21
106 Spatio-temporal oscillation for a singular predator-prey model 2017-10-12
105 The sign of traveling wave speed in bistable dynamics 2017-03-17
105 Traveling wave solutions of a discrete diffusive three species competition model 2016-09-19
104 Traveling waves for a lattice dynamical system arising in a diffusive endemic model 2016-05-21
104 Traveling wave solutions for a discrete diffusive epidemic model 2015-11-16
104 Traveling wave solutions for a Lotka-Volterra type diffusive predator-prey model 2015-10-26
104 Traveling wave solutions for a discrete diffusive epidemic model 2015-11-10
103 On a free boundary problem for the curvature flow with driving force 2015-05-19
103 The minimal speed of traveling wave solutions for a Lotka-Volterra type diffusive predator-prey model 2015-05-28
103 Dynamics for a two-species competition-diffusion model with two free boundaries 2014-11-05
103 Singularities for semilinear heat equation with spatially dependent potential 2014-09-01
102 Dynamics for a Two-Species Competition-Diffusion Model with Two Free Boundaries 2014-05-28
102 The existence of traveling wave solutions for a three species competition system 2014-05-26
102 Dead-core rates for a parabolic equation with strong absorption 2013-09-17
102 On a free boundary problem for the curvature flow with driving force 2013-10-21
101 On The Quenching Problem Arising in The Micro-Electro Mechanical System 2013-07-14
101 Wave Propagation in the Two Species Competition Systems 2013-04-22
101 Quenching behavior for a singular predator-prey model 2013-07-23
101 Quenching Behavior for a Singular Predator-Prey Model 2012-11-08
101 Quenching Problems Arising in Micro-Electro Mechanical Systems 2012-12-26
101 Wave propagation in the two species competition systems 2012-12-03
101 The cauchy problem for a complex-valued heat equation with a quadratic nonlinearity 2012-10-13
101 On a Free Boundary Problem for a Two-Species Weak Competition System 2012-09-03
100 Traveling Front for a Lattice Dynamical System in a Monostable 2-species Competition System 2012-05-04
100 On a Free Boundary Problem for a 2-Species Weak Competition System 2012-02-01
100 Propagation and blocking in periodically hostile environments 2012-02-16
100 Quenching behavior for a singular predator-prey model 2012-07-16
100 Some mathematical aspects of spiral wave pattern 2011-08-29
100 The cauchy problem for a complex-valued heat equation with a quadratic nonlinearity 2011-12-03
100 Propagation and blocking in periodically hostile environments 2011-10-18
99 Some mathematical aspects of spiral wave pattern 2011-07-12
99 Dead-core rates for a parabolic equation with strong absorption 2011-07-08
99 Dead-core rates for a parabolic equation with strong absorption 2011-05-27
99 Motion by curvature of planar curves with two free end points 2010-08-02
99 Wave propagation in 2-species competition systems 2010-11-15
99 Wave propagation in 2-species competition systems 2010-12-13
99 Wave propagation for a two-component lattice dynamical system arising in strong competition models 2010-10-13
99 Wave propagation for a 2-component lattice dynamical system arising in strong competition models 2010-10-01

研究報告

學年度 研究報告名稱 出版(發表)日期
102 拋物型方程系統解之行為研究 2013-08-01
98 反應擴散系統中波之傳遞 2010-01-01

研發處研究計畫(科技部)

學年度 計畫名稱 計畫期間
111 氣候變遷對生物數學中一些反應擴散系統時空動力學之影響(1/3) 2022-08 ~ 2023-07
110 生物數學中之生態系統及流行病學模型研究(3/3) 2021-08 ~ 2022-07
109 博士後研究—陳俞碩 2020-08 ~ 2021-07
109 博士後研究—崔源亨 2020-08 ~ 2021-07
109 生物數學中之生態系統及流行病學模型研究(2/3) 2020-08 ~ 2021-07
108 博士後研究－陳俞碩 2019-08 ~ 2020-07
108 生物數學中之生態系統及流行病學模型研究(1/3) 2019-08 ~ 2020-07
107 博士後研究－陳俞碩 2018-08 ~ 2019-07
107 非單調及非局部拋物型方程之研究(3/3) 2018-08 ~ 2019-07
106 博士後研究－陳俞碩 2017-08 ~ 2018-07
106 具有邊緣場的微機電系統模型之觸地行為研究 2017-08 ~ 2018-07
106 非單調及非局部拋物型方程之研究(2/3) 2017-08 ~ 2018-07
105 流形上具有正純量曲率之研究 2016-08 ~ 2017-07
105 非單調及非局部拋物型方程之研究(1/3) 2016-08 ~ 2017-07
104 拋物型方程系統解之行為研究(3/3) 2015-08 ~ 2016-07
104 博士後研究－陳彥宇 2015-08 ~ 2016-07
103 拋物型方程系統解之行為研究(2/3) 2014-08 ~ 2015-07
103 博士後研究－陳彥宇 2014-08 ~ 2015-07
102 拋物型方程系統解之行為研究(1/3) 2013-08 ~ 2014-07
102 博士後研究-陳彥宇 2013-08 ~ 2014-07
101 博士後研究–黃博峙 2012-08 ~ 2013-07
101 反應擴散系統中之波之傳遞(3/3) 2012-08 ~ 2013-07
101 反應擴散系統中之波之傳遞(3/3) 2012-08 ~ 2013-07
100 博士後研究─吳昌鴻 2011-08 ~ 2012-07
100 反應擴散系統中之波之傳遞(2/3) 2011-08 ~ 2012-07
99 反應擴散系統中之波之傳遞(1/3) 2010-08 ~ 2011-07