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Author ID: takagi.izumi Recent zbMATH articles by "Takagi, Izumi"
Published as: Takagi, Izumi; Takagi, I.

Publications by Year

Citations contained in zbMATH Open

31 Publications have been cited 1,595 times in 916 Documents Cited by Year
Large amplitude stationary solutions to a chemotaxis system. Zbl 0676.35030
Lin, C.-S.; Ni, W.-M.; Takagi, I.
445
1988
On the shape of least-energy solutions to a semilinear Neumann problem. Zbl 0754.35042
Ni, Wei-Ming; Takagi, Izumi
361
1991
Locating the peaks of least-energy solutions to a semilinear Neumann problem. Zbl 0796.35056
Ni, Wei-Ming; Takagi, Izumi
316
1993
Point-condensation for a reaction-diffusion system. Zbl 0627.35049
Takagi, Izumi
75
1986
On the Neumann problem for some semilinear elliptic equations and systems of activator-inhibitor type. Zbl 0635.35031
Ni, Wei-Ming; Takagi, Izumi
67
1986
Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents. Zbl 0785.35041
Ni, Wei-Ming; Pan, Xingbin; Takagi, Izumi
60
1992
Point condensation generated by a reaction-diffusion system in axially symmetric domains. Zbl 0843.35006
Ni, Wei-Ming; Takagi, Izumi
36
1995
On the location and profile of spike-layer solutions to a singularly perturbed semilinear Dirichlet problem: Intermediate solutions. Zbl 0946.35007
Ni, Wei-Ming; Takagi, Izumi; Wei, Juncheng
34
1998
Stability of least energy patterns of the shadow system for an activator-inhibitor model. Zbl 1200.35172
Ni, Wei-Ming; Takagi, Izumi; Yanagida, Eiji
31
2001
Global stability of stationary solutions to a nonlinear diffusion equation in phytoplankton dynamics. Zbl 0501.92020
Ishii, Hitoshi; Takagi, Izumi
22
1982
Stable patterns with jump discontinuity in systems with Turing instability and hysteresis. Zbl 1357.35043
Takagi, Izumi; Marciniak-Czochra, Anna; Härting, Steffen
19
2017
Pattern formation in a diffusion-ODE model with hysteresis. Zbl 1363.35261
Marciniak-Czochra, Anna; Nakayama, Madoka; Takagi, Izumi
18
2015
The dynamics of a kinetic activator – inhibitor system. Zbl 1108.34044
Ni, Wei-Ming; Suzuki, Kanako; Takagi, Izumi
16
2006
Bifurcation analysis of a diffusion-ODE model with Turing instability and hysteresis. Zbl 1373.35043
Li, Ying; Marciniak-Czochra, Anna; Takagi, Izumi; Wu, Boying
14
2017
Hysteresis-driven pattern formation in reaction-diffusion-ODE systems. Zbl 1439.35271
Köthe, Alexandra; Marciniak-Czochra, Anna; Takagi, Izumi
13
2020
Stability of bifurcating solutions of the Gierer-Meinhardt system. Zbl 0414.35043
Takagi, Izumi
9
1979
Method of rotating planes applied to a singularly perturbed Neumann problem. Zbl 1221.35170
Lin, Chang-Shou; Takagi, Izumi
9
2001
Existence and stability of patterns in a reaction-diffusion-ODE system with hysteresis in non-uniform media. Zbl 1465.35051
Takagi, Izumi; Zhang, Conghui
8
2021
Pattern formation in a reaction-diffusion-ODE model with hysteresis in spatially heterogeneous environments. Zbl 1459.35031
Takagi, Izumi; Zhang, Conghui
7
2021
On the role of basic production terms in an activator-inhibitor system modeling biological pattern formation. Zbl 1243.35162
Suzuki, Kanako; Takagi, Izumi
6
2011
A priori estimates for stationary solutions of an activator-inhibitor model due to Gierer and Meinhardt. Zbl 0493.35004
Takagi, Izumi
5
1982
Bifurcating critical points of bending energy under constraints related to the shape of red blood cells. Zbl 1051.49027
Nagasawa, Takeyuki; Takagi, Izumi
4
2003
Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor. Zbl 1429.35130
Li, Ying; Marciniak-Czochra, Anna; Takagi, Izumi; Wu, Boying
4
2019
On the existence and shape of solutions to a semilinear Neumann problem. Zbl 0792.35057
Ni, Wei-Ming; Takagi, Izumi
3
1992
Representation formula for the critical points of the Tadjbakhsh-Odeh functional and its application. Zbl 1157.49044
Watanabe, Kohtaro; Takagi, Izumi
3
2008
Global solutions to a one-dimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria. Zbl 1145.35066
Htoo, Khin Phyu Phyu; Mimura, Masayasu; Takagi, Izumi
3
2007
A nonlinear diffusion equation in phytoplankton dynamics with self- shading effect. Zbl 0575.92019
Ishii, H.; Takagi, I.
2
1985
Locator function for concentration points in a spatially heterogeneous semilinear Neumann problem. Zbl 1422.35061
Takagi, Izumi; Yamamoto, Hiroko
2
2019
Spike-layers in semilinear elliptic singular perturbation problems. Zbl 0795.35007
Ni, Wei-Ming; Takagi, Izumi
1
1993
Existence of traveling wave solutions to reaction-diffusion-ODE systems with hysteresis. Zbl 1514.35086
Hou, Lingling; Kokubu, Hiroshi; Marciniak-Czochra, Anna; Takagi, Izumi
1
2023
On the role of the source terms in an activator-inhibitor system proposed by Gierer and Meinhardt. Zbl 1140.35463
Suzuki, Kanako; Takagi, Izumi
1
2007
Existence of traveling wave solutions to reaction-diffusion-ODE systems with hysteresis. Zbl 1514.35086
Hou, Lingling; Kokubu, Hiroshi; Marciniak-Czochra, Anna; Takagi, Izumi
1
2023
Existence and stability of patterns in a reaction-diffusion-ODE system with hysteresis in non-uniform media. Zbl 1465.35051
Takagi, Izumi; Zhang, Conghui
8
2021
Pattern formation in a reaction-diffusion-ODE model with hysteresis in spatially heterogeneous environments. Zbl 1459.35031
Takagi, Izumi; Zhang, Conghui
7
2021
Hysteresis-driven pattern formation in reaction-diffusion-ODE systems. Zbl 1439.35271
Köthe, Alexandra; Marciniak-Czochra, Anna; Takagi, Izumi
13
2020
Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor. Zbl 1429.35130
Li, Ying; Marciniak-Czochra, Anna; Takagi, Izumi; Wu, Boying
4
2019
Locator function for concentration points in a spatially heterogeneous semilinear Neumann problem. Zbl 1422.35061
Takagi, Izumi; Yamamoto, Hiroko
2
2019
Stable patterns with jump discontinuity in systems with Turing instability and hysteresis. Zbl 1357.35043
Takagi, Izumi; Marciniak-Czochra, Anna; Härting, Steffen
19
2017
Bifurcation analysis of a diffusion-ODE model with Turing instability and hysteresis. Zbl 1373.35043
Li, Ying; Marciniak-Czochra, Anna; Takagi, Izumi; Wu, Boying
14
2017
Pattern formation in a diffusion-ODE model with hysteresis. Zbl 1363.35261
Marciniak-Czochra, Anna; Nakayama, Madoka; Takagi, Izumi
18
2015
On the role of basic production terms in an activator-inhibitor system modeling biological pattern formation. Zbl 1243.35162
Suzuki, Kanako; Takagi, Izumi
6
2011
Representation formula for the critical points of the Tadjbakhsh-Odeh functional and its application. Zbl 1157.49044
Watanabe, Kohtaro; Takagi, Izumi
3
2008
Global solutions to a one-dimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria. Zbl 1145.35066
Htoo, Khin Phyu Phyu; Mimura, Masayasu; Takagi, Izumi
3
2007
On the role of the source terms in an activator-inhibitor system proposed by Gierer and Meinhardt. Zbl 1140.35463
Suzuki, Kanako; Takagi, Izumi
1
2007
The dynamics of a kinetic activator – inhibitor system. Zbl 1108.34044
Ni, Wei-Ming; Suzuki, Kanako; Takagi, Izumi
16
2006
Bifurcating critical points of bending energy under constraints related to the shape of red blood cells. Zbl 1051.49027
Nagasawa, Takeyuki; Takagi, Izumi
4
2003
Stability of least energy patterns of the shadow system for an activator-inhibitor model. Zbl 1200.35172
Ni, Wei-Ming; Takagi, Izumi; Yanagida, Eiji
31
2001
Method of rotating planes applied to a singularly perturbed Neumann problem. Zbl 1221.35170
Lin, Chang-Shou; Takagi, Izumi
9
2001
On the location and profile of spike-layer solutions to a singularly perturbed semilinear Dirichlet problem: Intermediate solutions. Zbl 0946.35007
Ni, Wei-Ming; Takagi, Izumi; Wei, Juncheng
34
1998
Point condensation generated by a reaction-diffusion system in axially symmetric domains. Zbl 0843.35006
Ni, Wei-Ming; Takagi, Izumi
36
1995
Locating the peaks of least-energy solutions to a semilinear Neumann problem. Zbl 0796.35056
Ni, Wei-Ming; Takagi, Izumi
316
1993
Spike-layers in semilinear elliptic singular perturbation problems. Zbl 0795.35007
Ni, Wei-Ming; Takagi, Izumi
1
1993
Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents. Zbl 0785.35041
Ni, Wei-Ming; Pan, Xingbin; Takagi, Izumi
60
1992
On the existence and shape of solutions to a semilinear Neumann problem. Zbl 0792.35057
Ni, Wei-Ming; Takagi, Izumi
3
1992
On the shape of least-energy solutions to a semilinear Neumann problem. Zbl 0754.35042
Ni, Wei-Ming; Takagi, Izumi
361
1991
Large amplitude stationary solutions to a chemotaxis system. Zbl 0676.35030
Lin, C.-S.; Ni, W.-M.; Takagi, I.
445
1988
Point-condensation for a reaction-diffusion system. Zbl 0627.35049
Takagi, Izumi
75
1986
On the Neumann problem for some semilinear elliptic equations and systems of activator-inhibitor type. Zbl 0635.35031
Ni, Wei-Ming; Takagi, Izumi
67
1986
A nonlinear diffusion equation in phytoplankton dynamics with self- shading effect. Zbl 0575.92019
Ishii, H.; Takagi, I.
2
1985
Global stability of stationary solutions to a nonlinear diffusion equation in phytoplankton dynamics. Zbl 0501.92020
Ishii, Hitoshi; Takagi, Izumi
22
1982
A priori estimates for stationary solutions of an activator-inhibitor model due to Gierer and Meinhardt. Zbl 0493.35004
Takagi, Izumi
5
1982
Stability of bifurcating solutions of the Gierer-Meinhardt system. Zbl 0414.35043
Takagi, Izumi
9
1979
all top 5

Cited by 893 Authors

89 Wei, Juncheng
20 Winter, Matthias
19 Takagi, Izumi
18 Shi, Junping
18 Wang, Mingxin
16 Dancer, Edward Norman
16 Guo, Yujin
16 Ward, Michael J.
16 Yan, Shusen
15 Ni, Wei-Ming
14 Del Pino, Manuel A.
14 Peng, Rui
12 Cao, Daomin
12 Lou, Yuan
12 Malchiodi, Andrea
12 Pistoia, Angela
11 Marciniak-Czochra, Anna K.
11 Peng, Shuangjie
10 Byeon, Jaeyoung
10 Chen, Xinfu
10 Do Ó, João M. Bezerra
10 Fu, Shengmao
10 Ko, Wonlyul
10 Musso, Monica
10 Wu, Tsungfang
9 D’Aprile, Teresa
9 Kong, Fanze
9 Tang, Zhongwei
9 Wang, Qi
9 Wang, Weiming
9 Wang, Zhi-Qiang
9 Wu, Jianhua
8 Mahmoudi, Fethi
8 Micheletti, Anna Maria
8 Miyamoto, Yasuhito
8 Zhang, Conghui
7 Ao, Weiwei
7 Cai, Yongli
7 Chen, Haibo
7 Chen, Shanshan
7 Cui, Renhao
7 Kolokolnikov, Theodore
7 Kowalczyk, Michał
7 Lei, Chengxia
7 Li, Shanbing
7 Li, Yi
7 Lin, Taichia
7 Luo, Yong
7 Wang, Yuxia
7 Wei, Junjie
7 Winkler, Michael
7 Yang, Jun
7 Zhao, Chunshan
7 Zhou, Huan-Song
7 Zhou, Jun
6 Karch, Grzegorz
6 Li, Bo
6 Li, Wan-Tong
6 Lin, Chang-Shou
6 Liu, Lintao
6 Lu, Lu
6 Mei, Linfeng
6 Noris, Benedetta
6 Noussair, Ezzat S.
6 Pan, Xingbin
6 Srikanth, P. N.
6 Suzuki, Kanako
6 Wang, Jun
6 Wang, Liping
6 Wang, Lushun
6 Wang, Xuefeng
6 Yang, Jianfu
5 Ahn, Inkyung
5 Bonheure, Denis
5 Chen, Hongbin
5 Colasuonno, Francesca
5 Du, Yihong
5 Guo, Shangjiang
5 Guo, Zongming
5 Lam, King-Yeung
5 Li, Yan
5 Ruf, Bernhard
5 Ryu, Kimun
5 Yao, Ruofei
5 Zeng, Xiaoyu
5 Zhang, Guohong
5 Zhang, Jiafang
5 Zhang, Jianjun
5 Zhang, Yajing
5 Zhang, Zhengce
4 Bates, Peter W.
4 Castéras, Jean-baptiste
4 Chen, Mengxin
4 Chern, Jann-Long
4 Dong, Yaying
4 Felmer, Patricio L.
4 Grossi, Massimo
4 Gui, Changfeng
4 Hao, Jianghao
4 Hashizume, Masato
...and 793 more Authors
all top 5

Cited in 160 Serials

116 Journal of Differential Equations
56 Journal of Mathematical Analysis and Applications
45 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
41 Calculus of Variations and Partial Differential Equations
32 Discrete and Continuous Dynamical Systems
29 Nonlinear Analysis. Real World Applications
25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
22 Discrete and Continuous Dynamical Systems. Series B
21 Communications in Partial Differential Equations
18 Journal of Functional Analysis
17 Transactions of the American Mathematical Society
15 Journal of Mathematical Biology
15 Applied Mathematics and Computation
14 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
13 Communications on Pure and Applied Analysis
12 Physica D
11 Computers & Mathematics with Applications
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
11 Mathematical Biosciences and Engineering
11 Boundary Value Problems
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 SIAM Journal on Mathematical Analysis
8 Applicable Analysis
8 Journal of Mathematical Physics
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Journal of Dynamics and Differential Equations
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Duke Mathematical Journal
7 Proceedings of the American Mathematical Society
7 Acta Mathematicae Applicatae Sinica. English Series
7 Japan Journal of Industrial and Applied Mathematics
7 Nonlinear Analysis. Theory, Methods & Applications
6 Archive for Rational Mechanics and Analysis
6 Mathematical Methods in the Applied Sciences
6 Mathematische Annalen
6 Discrete and Continuous Dynamical Systems. Series S
5 Nonlinearity
5 Studies in Applied Mathematics
5 Applied Mathematics Letters
5 SIAM Journal on Applied Mathematics
5 Communications in Nonlinear Science and Numerical Simulation
5 Advanced Nonlinear Studies
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal d’Analyse Mathématique
4 Rocky Mountain Journal of Mathematics
4 Mathematical and Computer Modelling
4 European Journal of Applied Mathematics
4 The Journal of Geometric Analysis
4 Topological Methods in Nonlinear Analysis
4 NoDEA. Nonlinear Differential Equations and Applications
4 Discrete Dynamics in Nature and Society
4 Journal of the European Mathematical Society (JEMS)
4 Communications in Contemporary Mathematics
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 Journal of Fixed Point Theory and Applications
4 Science China. Mathematics
3 Bulletin of Mathematical Biology
3 Advances in Mathematics
3 Manuscripta Mathematica
3 Memoirs of the American Mathematical Society
3 Tôhoku Mathematical Journal. Second Series
3 Acta Applicandae Mathematicae
3 Science in China. Series A
3 Applied Mathematical Modelling
3 Journal of Nonlinear Science
3 Journal of Mathematical Chemistry
3 Abstract and Applied Analysis
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 SIAM Journal on Applied Dynamical Systems
3 Analysis and Applications (Singapore)
3 International Journal of Biomathematics
2 Bulletin of the Australian Mathematical Society
2 Communications in Mathematical Physics
2 Communications on Pure and Applied Mathematics
2 Journal of the Franklin Institute
2 Mathematical Biosciences
2 Chaos, Solitons and Fractals
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Quarterly of Applied Mathematics
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Rendiconti del Seminario Matematico della Università di Padova
2 Chinese Annals of Mathematics. Series B
2 Revista Matemática Iberoamericana
2 Asymptotic Analysis
2 SIAM Journal on Scientific Computing
2 Computational and Applied Mathematics
2 Complexity
2 Nonlinear Dynamics
2 Chaos
2 Annales Henri Poincaré
2 Qualitative Theory of Dynamical Systems
2 Journal of Applied Mathematics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Advances in Difference Equations
2 Complex Variables and Elliptic Equations
2 Frontiers of Mathematics in China
2 Mathematical Modelling of Natural Phenomena
2 Journal of Theoretical Biology
2 Advances in Nonlinear Analysis
...and 60 more Serials

Citations by Year