# zbMATH — the first resource for mathematics

## Lui, Roger

Compute Distance To:
 Author ID: lui.roger Published as: Lui, R.; Lui, Roger
 Documents Indexed: 53 Publications since 1982
all top 5

#### Co-Authors

 14 single-authored 15 Choi, Yung-Sze 3 Lewis, Mark Alun 3 Marculis, Nathan G. 2 Dockery, Jack D. 2 Keller, Clayton 2 Lee, Chang Hyeong 2 Ninomiya, Hirokazu 2 Su, Linlin 2 Yamada, Yoshio 1 Ahmad, Rokiah Rozita 1 Aronson, Donald G. 1 Bell, Ch. A. 1 Chung, Kwok-Wai 1 Creegan, Paul 1 Garnier, Jimmy 1 Groulx, Patrick 1 Huan, Zhongdan 1 Iida, Masato 1 Larsen, Christopher J. 1 Lee, Juliet 1 Levine, Howard Allen 1 Li, Bingtuan 1 Liu, Biyue 1 Miller, Willard jun. 1 Olver, Peter John 1 Park, Cheon Jong 1 Santosa, Fatil 1 Schultz, Pete 1 Selgrade, James F. 1 Shigesada, Nanako 1 Volkov, Darko 1 Wang, Zhian 1 Weinberger Hewitt, Sylvia 1 Weinberger, Catherine J. 1 Weinberger, Ralph 1 Yu, Xun 1 Zheltukhin, Sergey
all top 5

#### Serials

 9 Journal of Mathematical Biology 6 SIAM Journal on Mathematical Analysis 3 IMA Journal of Applied Mathematics 3 Mathematical Biosciences 3 Journal of Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications 2 SIAM Journal on Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Journal of Mathematical Chemistry 2 Nonlinear Analysis. Real World Applications 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Bulletin of Mathematical Biology 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Theoretical Population Biology 1 Transactions of the American Mathematical Society 1 Pakistan Journal of Statistics 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Notices of the American Mathematical Society 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Taiwanese Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Biological Dynamics 1 Journal of Theoretical Biology
all top 5

#### Fields

 45 Biology and other natural sciences (92-XX) 33 Partial differential equations (35-XX) 9 Integral equations (45-XX) 5 Ordinary differential equations (34-XX) 4 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

41 Publications have been cited 491 times in 329 Documents Cited by Year
Biological growth and spread modeled by systems of recursions. I: Mathematical theory. Zbl 0706.92014
Lui, Roger
1989
Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion. Zbl 1047.35054
Choi, Y. S.; Lui, Roger; Yamada, Yoshio
2004
Biological growth and spread modeled by systems of recursions. II: Biological theory. Zbl 0706.92015
Lui, Roger
1989
Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion. Zbl 1029.35116
Choi, Y. S.; Lui, Roger; Yamada, Yoshio
2003
Traveling wave solutions from microscopic to macroscopic chemotaxis models. Zbl 1205.92007
Lui, Roger; Wang, Zhi An
2010
Existence and stability of travelling wave solutions of a nonlinear integral operator. Zbl 0514.45006
Lui, Roger
1983
A nonlinear integral operator arising from a model in population genetics. I: Monotone initial data. Zbl 0508.45006
Lui, Roger
1982
Multi-dimensional electrochemistry model. Zbl 0832.35013
Choi, Y. S.; Lui, Roger
1995
A nonlinear integral operator arising from a model in population genetics. II: Initial data with compact support. Zbl 0508.45007
Lui, Roger
1982
Spreading speed and travelling wave solutions of a partially sedentary population. Zbl 1128.92026
Volkov, Darko; Lui, Roger
2007
A nonlinear integral operator arising from a model in population genetics. III. Heterozygote inferior case. Zbl 0585.45001
Lui, Roger
1985
Stacked fronts for cooperative systems with equal diffusion coefficients. Zbl 1233.35113
Iida, Masato; Lui, Roger; Ninomiya, Hirokazu
2011
A reduction method for multiple time scale stochastic reaction networks. Zbl 1196.92071
Lee, Chang Hyeong; Lui, Roger
2009
Traveling wave solutions for a one-dimensional crawling nematode sperm cell model. Zbl 1063.92005
Choi, Y. S.; Lee, Juliet; Lui, Roger
2004
Some remarks about the wave speed and travelling wave solutions of a nonlinear integral operator. Zbl 0556.45002
Creegan, Paul; Lui, Roger
1984
Dynamics of two-strain influenza model with cross-immunity and no quarantine class. Zbl 1354.34080
Chung, K. W.; Lui, Roger
2016
Global existence of solutions of a strongly coupled quasilinear parabolic system with applications to electrochemistry. Zbl 1036.35073
Choi, Y. S.; Huan, Zhongdan; Lui, Roger
2003
Moving boundary problem for a one-dimensional crawling nematode sperm cell model. Zbl 1078.35125
Choi, Y. S.; Groulx, Patrick; Lui, Roger
2005
Uniqueness of steady-state solutions for an electrochemistry model with multiple species. Zbl 0801.35139
Choi, Y. S.; Lui, Roger
1994
Convergence to constant equilibrium for a density-dependent selection model with diffusion. Zbl 0716.92011
Lui, Roger
1988
Existence of traveling domain solutions for a two-dimensional moving boundary problem. Zbl 1167.35053
Choi, Y. S.; Lui, Roger
2009
Analysis of an electrochemistry model with zero-flux boundary conditions. Zbl 0797.35082
Choi, Y. S.; Lui, Roger
1993
Long-time behaviour of solutions of an electrophoretic model with a single reaction. Zbl 0810.35125
Choi, Y. S.; Lui, Roger
1993
Positive solutions of an elliptic system arising from a model in evolutionary ecology. Zbl 0741.92012
Lui, R.
1991
A nonlinear integral operator arising from a model in population genetics. IV: Clines. Zbl 0592.45007
Lui, Roger
1986
An integro-differential equation arising from an electrochemistry model. Zbl 0997.45006
Choi, Y. S.; Lui, Roger
1997
Global stability of solutions of an electrochemistry model with multiple species. Zbl 0819.35079
Choi, Y. S.; Lui, Roger
1995
Asymptotic behavior of solutions to an evolutionary ecology model with diffusion. Zbl 0731.92016
Lui, Roger
1989
Neutral genetic patterns for expanding populations with nonoverlapping generations. Zbl 1372.92065
Marculis, Nathan G.; Lui, Roger; Lewis, Mark A.
2017
Linearized stability of traveling cell solutions arising from a moving boundary problem. Zbl 1111.35130
Choi, Y. S.; Lui, Roger
2007
Existence of traveling wave solutions for a one-dimensional cell motility model. Zbl 1072.35085
Choi, Y. S.; Lui, Roger
2004
Density-dependent selection migration model with non-monotone fitness functions. Zbl 0788.92016
1993
Existence and stability of travelling wave solutions for a simplified bistable evolutionary ecology model. Zbl 0733.35056
Lui, Roger
1991
Existence of steady-state solutions of predator-prey equations in a heterogeneous environment. Zbl 0682.35057
Keller, Clayton; Lui, Roger
1987
Inside dynamics for stage-structured integrodifference equations. Zbl 1433.37083
Marculis, Nathan G.; Garnier, Jimmy; Lui, Roger; Lewis, Mark A.
2020
Patterns for four-allele population genetics model. Zbl 1404.92132
Su, Linlin; Lui, Roger
2012
A reduction method for multiple time scale stochastic reaction networks with non-unique equilibrium probability. Zbl 1200.92055
Lee, Chang Hyeong; Lui, Roger
2010
Electrolysis and isoelectric focusing. Zbl 0798.92005
Choi, Y. S.; Lui, Roger; Yu, Xun
1994
Existence of travelling wave solutions for a bistable evolutionary ecology model. Zbl 0780.92016
Dockery, Jack D.; Lui, Roger
1992
Existence and stability of travelling wave solutions for an evolutionary ecology model. Zbl 0744.92025
Lui, Roger
1990
Signal detection for Pareto renewal processes. Zbl 0657.62105
Bell, C. A.; Ahmad, R.; Park, C. J.; Lui, R.
1987
Inside dynamics for stage-structured integrodifference equations. Zbl 1433.37083
Marculis, Nathan G.; Garnier, Jimmy; Lui, Roger; Lewis, Mark A.
2020
Neutral genetic patterns for expanding populations with nonoverlapping generations. Zbl 1372.92065
Marculis, Nathan G.; Lui, Roger; Lewis, Mark A.
2017
Dynamics of two-strain influenza model with cross-immunity and no quarantine class. Zbl 1354.34080
Chung, K. W.; Lui, Roger
2016
Patterns for four-allele population genetics model. Zbl 1404.92132
Su, Linlin; Lui, Roger
2012
Stacked fronts for cooperative systems with equal diffusion coefficients. Zbl 1233.35113
Iida, Masato; Lui, Roger; Ninomiya, Hirokazu
2011
Traveling wave solutions from microscopic to macroscopic chemotaxis models. Zbl 1205.92007
Lui, Roger; Wang, Zhi An
2010
A reduction method for multiple time scale stochastic reaction networks with non-unique equilibrium probability. Zbl 1200.92055
Lee, Chang Hyeong; Lui, Roger
2010
A reduction method for multiple time scale stochastic reaction networks. Zbl 1196.92071
Lee, Chang Hyeong; Lui, Roger
2009
Existence of traveling domain solutions for a two-dimensional moving boundary problem. Zbl 1167.35053
Choi, Y. S.; Lui, Roger
2009
Spreading speed and travelling wave solutions of a partially sedentary population. Zbl 1128.92026
Volkov, Darko; Lui, Roger
2007
Linearized stability of traveling cell solutions arising from a moving boundary problem. Zbl 1111.35130
Choi, Y. S.; Lui, Roger
2007
Moving boundary problem for a one-dimensional crawling nematode sperm cell model. Zbl 1078.35125
Choi, Y. S.; Groulx, Patrick; Lui, Roger
2005
Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion. Zbl 1047.35054
Choi, Y. S.; Lui, Roger; Yamada, Yoshio
2004
Traveling wave solutions for a one-dimensional crawling nematode sperm cell model. Zbl 1063.92005
Choi, Y. S.; Lee, Juliet; Lui, Roger
2004
Existence of traveling wave solutions for a one-dimensional cell motility model. Zbl 1072.35085
Choi, Y. S.; Lui, Roger
2004
Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion. Zbl 1029.35116
Choi, Y. S.; Lui, Roger; Yamada, Yoshio
2003
Global existence of solutions of a strongly coupled quasilinear parabolic system with applications to electrochemistry. Zbl 1036.35073
Choi, Y. S.; Huan, Zhongdan; Lui, Roger
2003
An integro-differential equation arising from an electrochemistry model. Zbl 0997.45006
Choi, Y. S.; Lui, Roger
1997
Multi-dimensional electrochemistry model. Zbl 0832.35013
Choi, Y. S.; Lui, Roger
1995
Global stability of solutions of an electrochemistry model with multiple species. Zbl 0819.35079
Choi, Y. S.; Lui, Roger
1995
Uniqueness of steady-state solutions for an electrochemistry model with multiple species. Zbl 0801.35139
Choi, Y. S.; Lui, Roger
1994
Electrolysis and isoelectric focusing. Zbl 0798.92005
Choi, Y. S.; Lui, Roger; Yu, Xun
1994
Analysis of an electrochemistry model with zero-flux boundary conditions. Zbl 0797.35082
Choi, Y. S.; Lui, Roger
1993
Long-time behaviour of solutions of an electrophoretic model with a single reaction. Zbl 0810.35125
Choi, Y. S.; Lui, Roger
1993
Density-dependent selection migration model with non-monotone fitness functions. Zbl 0788.92016
1993
Existence of travelling wave solutions for a bistable evolutionary ecology model. Zbl 0780.92016
Dockery, Jack D.; Lui, Roger
1992
Positive solutions of an elliptic system arising from a model in evolutionary ecology. Zbl 0741.92012
Lui, R.
1991
Existence and stability of travelling wave solutions for a simplified bistable evolutionary ecology model. Zbl 0733.35056
Lui, Roger
1991
Existence and stability of travelling wave solutions for an evolutionary ecology model. Zbl 0744.92025
Lui, Roger
1990
Biological growth and spread modeled by systems of recursions. I: Mathematical theory. Zbl 0706.92014
Lui, Roger
1989
Biological growth and spread modeled by systems of recursions. II: Biological theory. Zbl 0706.92015
Lui, Roger
1989
Asymptotic behavior of solutions to an evolutionary ecology model with diffusion. Zbl 0731.92016
Lui, Roger
1989
Convergence to constant equilibrium for a density-dependent selection model with diffusion. Zbl 0716.92011
Lui, Roger
1988
Existence of steady-state solutions of predator-prey equations in a heterogeneous environment. Zbl 0682.35057
Keller, Clayton; Lui, Roger
1987
Signal detection for Pareto renewal processes. Zbl 0657.62105
Bell, C. A.; Ahmad, R.; Park, C. J.; Lui, R.
1987
A nonlinear integral operator arising from a model in population genetics. IV: Clines. Zbl 0592.45007
Lui, Roger
1986
A nonlinear integral operator arising from a model in population genetics. III. Heterozygote inferior case. Zbl 0585.45001
Lui, Roger
1985
Some remarks about the wave speed and travelling wave solutions of a nonlinear integral operator. Zbl 0556.45002
Creegan, Paul; Lui, Roger
1984
Existence and stability of travelling wave solutions of a nonlinear integral operator. Zbl 0514.45006
Lui, Roger
1983
A nonlinear integral operator arising from a model in population genetics. I: Monotone initial data. Zbl 0508.45006
Lui, Roger
1982
A nonlinear integral operator arising from a model in population genetics. II: Initial data with compact support. Zbl 0508.45007
Lui, Roger
1982
all top 5

#### Cited by 417 Authors

 18 Lui, Roger 15 Lin, Guo 14 Li, Wan-Tong 14 Pan, Shuxia 13 Li, Bingtuan 12 Lewis, Mark Alun 12 Zhao, Xiao-Qiang 10 Fu, Shengmao 10 Wang, Zhian 9 Shen, Wenxian 9 Weng, Peixuan 7 Choi, Yung-Sze 7 Lutscher, Frithjof 6 Liang, Xing 6 Ruan, Shigui 5 Bao, Xiongxiong 5 Lee, Chang Hyeong 5 Marculis, Nathan G. 5 Ou, Chunhua 5 Rass, Linda 5 Yi, Taishan 4 Jüngel, Ansgar 4 Kim, Yong Jung 4 Kuto, Kousuke 4 Li, Tong 4 Ninomiya, Hirokazu 4 Winkler, Michael 4 Wu, Shiliang 4 Wu, Yaping 4 Xu, Qian 4 Xu, Wenbing 4 Zou, Xingfu 3 Chen, Shaohua 3 Choi, Sun-Ho 3 Ding, Weiwei 3 Erban, Radek 3 Fagan, William F. 3 Hwang, Hyung Ju 3 Li, Kun 3 Li, Qing 3 Li, Xiong 3 Lou, Yuan 3 Ma, Manjun 3 Monobe, Harunori 3 Nie, Linfei 3 Pan, Yingli 3 Phan, Tuoc Van 3 Radcliffe, John 3 Wang, Haiyan 3 Wang, Qi 3 Wang, Yuxia 3 Wei, Junjie 3 Weinberger, Hans Felix 3 Wu, Chufen 3 Wu, Fuzhen 3 Wu, Jianhong 2 Ahn, Inkyung 2 Allen, Edward James 2 Allen, Linda J. S. 2 Bothe, Dieter 2 Bramson, Maury D. 2 Breden, Maxime 2 Chen, Yuming 2 Cheng, Cuiping 2 Constantin, Peter 2 Cui, Shangbin 2 Degond, Pierre 2 Du, Yihong 2 Fang, Jian 2 Fang, Weifu 2 Feng, Xiaozhou 2 Fernandez, Bastien 2 Franz, Benjamin 2 Génieys, Stéphane 2 Govinder, Keshlan Sathasiva 2 Holzer, Matt 2 Hsu, Cheng-Hsiung 2 Ignatova, Mihaela 2 Ito, Kazufumi 2 Jiao, Yujuan 2 Kotschote, Matthias 2 Le, Dung 2 Lee, Chiun-Chang 2 Li, Huiling 2 Li, Lige 2 Lin, Taichia 2 Ni, Wei-Ming 2 Painter, Kevin J. 2 Rolland, Guillaume 2 Ruan, Weihua 2 Shen, Zhongwei 2 Souplet, Philippe 2 Su, Ying 2 Tchepmo Djomegni, Patrick Mimphis 2 Tian, Yanling 2 Trescases, Ariane 2 Velázquez, Juan J. L. 2 Wang, Mingxin 2 Wang, Zhi Cheng 2 Wang, Zhiguo ...and 317 more Authors
all top 5

#### Cited in 86 Serials

 34 Journal of Differential Equations 26 Journal of Mathematical Biology 18 Journal of Mathematical Analysis and Applications 17 Nonlinear Analysis. Real World Applications 14 Bulletin of Mathematical Biology 12 Mathematical Biosciences 12 Discrete and Continuous Dynamical Systems 12 Discrete and Continuous Dynamical Systems. Series B 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Proceedings of the American Mathematical Society 6 Journal of Dynamics and Differential Equations 6 Journal of Difference Equations and Applications 6 Advances in Difference Equations 6 Journal of Theoretical Biology 5 Mathematical Methods in the Applied Sciences 5 Transactions of the American Mathematical Society 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Journal of Mathematical Chemistry 5 Nonlinear Analysis. Theory, Methods & Applications 4 Applicable Analysis 4 Applied Mathematics and Computation 4 Journal of Functional Analysis 4 Applied Mathematics Letters 4 SIAM Journal on Mathematical Analysis 4 Abstract and Applied Analysis 3 Archive for Rational Mechanics and Analysis 3 Computers & Mathematics with Applications 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Theoretical Population Biology 3 Acta Applicandae Mathematicae 3 Acta Mathematicae Applicatae Sinica. English Series 3 SIAM Journal on Applied Mathematics 3 Boundary Value Problems 3 International Journal of Biomathematics 2 Nonlinearity 2 Rocky Mountain Journal of Mathematics 2 Journal of Computational and Applied Mathematics 2 Mathematische Nachrichten 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Applied Mathematical Modelling 2 Journal of Nonlinear Science 2 Journal of Evolution Equations 2 Journal of Applied Mathematics 2 Communications on Pure and Applied Analysis 2 Mathematical Biosciences and Engineering 2 Journal of Biological Dynamics 2 Frontiers of Mathematics in China 2 Science China. Mathematics 1 Bulletin of the Australian Mathematical Society 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 The Annals of Probability 1 International Journal of Mathematics and Mathematical Sciences 1 Trabajos de Estadistica y de Investigacion Operativa 1 Cybernetics 1 Systems & Control Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Journal of the American Mathematical Society 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Computational and Applied Mathematics 1 Bulletin des Sciences Mathématiques 1 Complexity 1 Journal of Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Biological Systems 1 Journal of Statistical Mechanics: Theory and Experiment 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 The Journal of Mathematical Neuroscience 1 Advances in Nonlinear Analysis 1 Journal of Mathematics 1 Journal of Elliptic and Parabolic Equations 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Electronic Research Archive
all top 5

#### Cited in 24 Fields

 235 Biology and other natural sciences (92-XX) 232 Partial differential equations (35-XX) 45 Integral equations (45-XX) 34 Dynamical systems and ergodic theory (37-XX) 33 Difference and functional equations (39-XX) 25 Ordinary differential equations (34-XX) 13 Operator theory (47-XX) 11 Numerical analysis (65-XX) 10 Probability theory and stochastic processes (60-XX) 6 Optics, electromagnetic theory (78-XX) 5 Functional analysis (46-XX) 5 Systems theory; control (93-XX) 4 Statistics (62-XX) 4 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX)