# zbMATH — the first resource for mathematics

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 Documents Indexed: 27 Publications since 1971, including 1 Book
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#### Co-Authors

 4 single-authored 16 Kawasaki, Kohkichi 8 Teramoto, Ei 3 Weinberger, Hans Felix 2 Aoki, Kenichi 2 Kinezaki, Noriko 2 Takasu, Fugo 1 Aronson, Donald G. 1 Asano, Keisuke 1 Diekmann, Odo 1 Levine, Howard Allen 1 Lewis, Mark Alun 1 Li, Bingtuan 1 Lui, Roger 1 Matsuda, Hiroyuki 1 Miller, Willard jun. 1 Okubo, Akira 1 Olver, Peter John 1 Petrovskii, Sergei V. 1 Petrovskij, Sergej 1 Ricciardi, Luigi Maria 1 Roughgarden, Jonathan 1 Santosa, Fatil 1 Shida, Mitsuo 1 Sigmund, Karl 1 Takeuchi, Yasuhiro 1 Wakano, Joe Yuichiro 1 Weinberger Hewitt, Sylvia 1 Weinberger, Catherine J. 1 Weinberger, Ralph
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#### Serials

 7 Theoretical Population Biology 4 Journal of Mathematical Biology 3 Japan Journal of Industrial and Applied Mathematics 2 Mathematical Biosciences 1 Bulletin of Mathematical Biology 1 Notices of the American Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 Journal of the Physical Society of Japan
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#### Fields

 24 Biology and other natural sciences (92-XX) 15 Partial differential equations (35-XX) 4 Numerical analysis (65-XX) 3 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

20 Publications have been cited 383 times in 297 Documents Cited by Year
Traveling periodic waves in heterogeneous environments. Zbl 0591.92026
Shigesada, Nanako; Kawasaki, Kohkichi; Teramoto, Ei
1986
Modeling biological invasions into periodically fragmented environments. Zbl 1102.92057
Kinezaki, Noriko; Kawasaki, Kohkichi; Takasu, Fugo; Shigesada, Nanako
2003
Analysis of the self-shading effect on algal vertical distribution in natural waters. Zbl 0477.92018
1981
Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions. Zbl 1141.92041
Weinberger, Hans F.; Kawasaki, Kohkichi; Shigesada, Nanako
2008
An integrodifference model for biological invasions in a periodically fragmented environment. Zbl 1116.92066
2007
Spatial distribution of dispersing animals. Zbl 0427.92015
1980
Diffusive waves, dynamical stabilization and spatio-temporal chaos in a community of three competitive species. Zbl 0983.35065
Petrovskii, Sergei; Kawasaki, Kohkichi; Takasu, Fugo; Shigesada, Nanako
2001
The role of rapid dispersal in the population dynamics of competition. Zbl 0494.92021
1982
The effects of interference competition on stability, structure and invasion of a multi-species system. Zbl 0568.92017
Shigesada, Nanako; Kawasaki, Kohkichi; Teramoto, Ei
1984
Travelling wave solutions for the spread of farmers into a region occupied by hunter-gatherers. Zbl 0856.92026
Aoki, Kenichi; Shida, Mitsuo; Shigesada, Nanako
1996
Some exact solutions of a generalized Fisher equation related to the problem of biological invasion. Zbl 0983.92031
2001
Spatial distribution of rapidly dispersing animals in heterogeneous environments. Zbl 0537.92028
1984
Spreading speeds for a partially cooperative 2-species reaction-diffusion model. Zbl 1369.35031
Weinberger, Hans F.; Kawasaki, Kohkichi; Shigesada, Nanako
2009
Impact of directed movement on invasive spread in periodic patchy environments. Zbl 1251.92041
Kawasaki, Kohkichi; Asano, Keisuke; Shigesada, Nanako
2012
Direct and indirect effects of invasions of predators on a multiple- species community. Zbl 0688.92016
Shigesada, Nanako; Kawasaki, Kohkichi; Teramoto, Ei
1989
Spreading speeds of invasive species in a periodic patchy environment: effects of dispersal based on local information and gradient-based taxis. Zbl 1339.92075
Shigesada, Nanako; Kawasaki, Kohkichi; Weinberger, Hans F.
2015
Coexistence of individual and social learners during range expansion. Zbl 1297.91127
Wakano, Joe Y.; Kawasaki, Kohkichi; Shigesada, Nanako; Aoki, Kenichi
2011
The speeds of traveling frontal waves in heterogeneous environments. Zbl 0653.92016
Shigesada, Nanako; Kawasaki, Kohkichi; Teramoto, Ei
1987
The effect of the spatial configuration of habitat fragmentation on invasive spread. Zbl 1403.92329
Kinezaki, Noriko; Kawasaki, Kohkichi; Shigesada, Nanako
2010
Nonlinear diffusion equation in biology. Zbl 0489.92016
1981
Spreading speeds of invasive species in a periodic patchy environment: effects of dispersal based on local information and gradient-based taxis. Zbl 1339.92075
Shigesada, Nanako; Kawasaki, Kohkichi; Weinberger, Hans F.
2015
Impact of directed movement on invasive spread in periodic patchy environments. Zbl 1251.92041
Kawasaki, Kohkichi; Asano, Keisuke; Shigesada, Nanako
2012
Coexistence of individual and social learners during range expansion. Zbl 1297.91127
Wakano, Joe Y.; Kawasaki, Kohkichi; Shigesada, Nanako; Aoki, Kenichi
2011
The effect of the spatial configuration of habitat fragmentation on invasive spread. Zbl 1403.92329
Kinezaki, Noriko; Kawasaki, Kohkichi; Shigesada, Nanako
2010
Spreading speeds for a partially cooperative 2-species reaction-diffusion model. Zbl 1369.35031
Weinberger, Hans F.; Kawasaki, Kohkichi; Shigesada, Nanako
2009
Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions. Zbl 1141.92041
Weinberger, Hans F.; Kawasaki, Kohkichi; Shigesada, Nanako
2008
An integrodifference model for biological invasions in a periodically fragmented environment. Zbl 1116.92066
2007
Modeling biological invasions into periodically fragmented environments. Zbl 1102.92057
Kinezaki, Noriko; Kawasaki, Kohkichi; Takasu, Fugo; Shigesada, Nanako
2003
Diffusive waves, dynamical stabilization and spatio-temporal chaos in a community of three competitive species. Zbl 0983.35065
Petrovskii, Sergei; Kawasaki, Kohkichi; Takasu, Fugo; Shigesada, Nanako
2001
Some exact solutions of a generalized Fisher equation related to the problem of biological invasion. Zbl 0983.92031
2001
Travelling wave solutions for the spread of farmers into a region occupied by hunter-gatherers. Zbl 0856.92026
Aoki, Kenichi; Shida, Mitsuo; Shigesada, Nanako
1996
Direct and indirect effects of invasions of predators on a multiple- species community. Zbl 0688.92016
Shigesada, Nanako; Kawasaki, Kohkichi; Teramoto, Ei
1989
The speeds of traveling frontal waves in heterogeneous environments. Zbl 0653.92016
Shigesada, Nanako; Kawasaki, Kohkichi; Teramoto, Ei
1987
Traveling periodic waves in heterogeneous environments. Zbl 0591.92026
Shigesada, Nanako; Kawasaki, Kohkichi; Teramoto, Ei
1986
The effects of interference competition on stability, structure and invasion of a multi-species system. Zbl 0568.92017
Shigesada, Nanako; Kawasaki, Kohkichi; Teramoto, Ei
1984
Spatial distribution of rapidly dispersing animals in heterogeneous environments. Zbl 0537.92028
1984
The role of rapid dispersal in the population dynamics of competition. Zbl 0494.92021
1982
Analysis of the self-shading effect on algal vertical distribution in natural waters. Zbl 0477.92018
1981
Nonlinear diffusion equation in biology. Zbl 0489.92016
1981
Spatial distribution of dispersing animals. Zbl 0427.92015
1980
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#### Cited by 435 Authors

 17 Lutscher, Frithjof 14 Petrovskii, Sergei V. 10 Kawasaki, Kohkichi 10 Roques, Lionel J. 10 Shigesada, Nanako 10 Zhao, Xiao-Qiang 9 Hamel, François 9 Liang, Xing 9 Mimura, Masayasu 7 Lin, Guo 7 Nadin, Grégoire 5 Berestycki, Henri 5 Lewis, Mark Alun 5 Li, Wan-Tong 5 Lou, Yuan 5 Matano, Hiroshi 4 Banerjee, Malay 4 Cantrell, Robert Stephen 4 Chen, Xinfu 4 Cosner, Chris 4 Hilhorst, Danielle 4 Lam, King-Yeung 4 Malchow, Horst 4 Pan, Shuxia 4 Teramoto, Ei 4 Totaro, Silvia 4 Tsai, Je-Chiang 4 Wu, Shiliang 3 Carrillo de la Plata, José Antonio 3 Ding, Weiwei 3 Ducrot, Arnaud 3 Eliaš, Ján 3 Fagan, William F. 3 Gu, Hong 3 Jin, Yu 3 Landman, Kerry A. 3 Le, Dung 3 Li, Bailian 3 Li, Bingtuan 3 Lou, Bendong 3 Maini, Philip Kumar 3 Ou, Chunhua 3 Rossi, Luca 3 Roughgarden, Jonathan 3 Volpert, Vitaly A. 3 Wang, Haiyan 3 Wu, Chufen 3 Xu, Zhaoquan 3 Yurk, Brian P. 2 Aoki, Kenichi 2 Auger, Pierre M. 2 Barry, Steven Ian 2 Bewick, Sharon 2 Bressloff, Paul C. 2 Brew, J. S. 2 Bullock, James M. 2 Chen, Chiun-Chuan 2 Cheng, Cuiping 2 Chesson, Peter L. 2 Cobbold, Christina A. 2 Conti, Monica C. 2 Contri, Benjamin 2 Cristofol, Michel 2 Fang, Jian 2 Feldman, Marcus W. 2 Freedman, Herbert Irving 2 Gaffney, Eamonn A. 2 Gilbert, Mark A. 2 Giletti, Thomas 2 Guo, Jong-Shenq 2 Hickson, Roslyn I. 2 Hughes, Barry D. 2 Hung, Li-Chang 2 Ito, Ryo 2 Iwasa, Yoh 2 Kabir, Md. Humayun 2 Kinezaki, Noriko 2 Marculis, Nathan G. 2 Martínez, Salomé 2 McCauley, Edward 2 Mei, Linfeng 2 Mercer, Geoffry Norman 2 Mori, Ryunosuke 2 Morozov, Andrew Yu. 2 Musgrave, Jeffrey 2 Nguyen, Toan Trong 2 Owolabi, Kolade Matthew 2 Pan, Yingli 2 Peng, Rui 2 Perthame, Benoît 2 Quitalo, Veronica 2 Sekerci, Yadigar 2 Sherratt, Jonathan A. 2 Sidhu, Harvinder Singh 2 Takasu, Fugo 2 Timm, Uwe 2 Wang, Wendi 2 Wei, Junjie 2 Weinberger, Hans Felix 2 White, Steven M. ...and 335 more Authors
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#### Cited in 81 Serials

 29 Journal of Mathematical Biology 29 Bulletin of Mathematical Biology 27 Theoretical Population Biology 18 Journal of Differential Equations 15 Mathematical Biosciences 11 Journal of Theoretical Biology 10 Discrete and Continuous Dynamical Systems. Series B 8 Journal of Mathematical Analysis and Applications 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Proceedings of the American Mathematical Society 6 Calculus of Variations and Partial Differential Equations 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Nonlinear Analysis. Theory, Methods & Applications 4 Journal of Functional Analysis 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Japan Journal of Industrial and Applied Mathematics 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Dynamics and Differential Equations 4 Discrete and Continuous Dynamical Systems 4 Nonlinear Analysis. Real World Applications 4 Mathematical Biosciences and Engineering 4 Journal of Biological Dynamics 3 Archive for Rational Mechanics and Analysis 3 Communications on Pure and Applied Mathematics 3 Transport Theory and Statistical Physics 3 Applied Mathematics and Computation 3 Transactions of the American Mathematical Society 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mathematical Modelling of Natural Phenomena 2 Advances in Mathematics 2 Mathematische Annalen 2 Japan Journal of Applied Mathematics 2 Communications in Partial Differential Equations 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Communications in Contemporary Mathematics 2 SIAM Journal on Applied Dynamical Systems 2 Advances in Difference Equations 2 International Journal of Biomathematics 2 Science China. Mathematics 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 International Journal of Heat and Mass Transfer 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Meccanica 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Physica D 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 Applied Mathematical Modelling 1 Journal of Non-Equilibrium Thermodynamics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Journal of Mathematical Sciences (New York) 1 Journal of Difference Equations and Applications 1 Abstract and Applied Analysis 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Biological Systems 1 The ANZIAM Journal 1 Nonlinear Analysis. Modelling and Control 1 Journal of Numerical Mathematics 1 Communications on Pure and Applied Analysis 1 Oberwolfach Reports 1 Networks and Heterogeneous Media 1 The Annals of Applied Statistics 1 Discrete and Continuous Dynamical Systems. Series S 1 Dynamic Games and Applications 1 The Journal of Mathematical Neuroscience 1 Mathematical Sciences 1 Evolution Equations and Control Theory 1 Mathematics 1 International Journal of Applied and Computational Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 28 Fields

 225 Biology and other natural sciences (92-XX) 204 Partial differential equations (35-XX) 30 Integral equations (45-XX) 22 Dynamical systems and ergodic theory (37-XX) 18 Ordinary differential equations (34-XX) 18 Difference and functional equations (39-XX) 13 Numerical analysis (65-XX) 7 Operator theory (47-XX) 6 Probability theory and stochastic processes (60-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Fluid mechanics (76-XX) 4 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)