## Discrete and Continuous Dynamical Systems. Series B

### A Journal Bridging Mathematics and Sciences

 Short Title: Discrete Contin. Dyn. Syst., Ser. B Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO ISSN: 1531-3492; 1553-524X/e Online: https://www.aimsciences.org/DCDS-B Comments: Indexed cover-to-cover
 Documents Indexed: 3,375 Publications (since 2001) References Indexed: 2,002 Publications with 63,694 References.
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### Authors

 31 Caraballo Garrido, Tomás 24 Llibre, Jaume 20 Li, Wan-Tong 19 Ruan, Shigui 17 Kloeden, Peter Eris 15 Huang, Jianhua 14 Giesl, Peter 14 Hsu, Szebi 14 Ledzewicz, Urszula 13 Mao, Xuerong 13 Wang, Feng-Bin 12 Guo, Shangjiang 12 Kuang, Yang 12 Mu, Chunlai 12 Valero, José 11 He, Yinnian 11 Schättler, Heinz Michael 11 Zhong, Chengkui 10 Gao, Hongjun 10 Guo, Boling 10 Lin, Zhigui 10 Lou, Yuan 10 Nie, Qing 10 Shi, Junping 10 Wang, Bixiang 10 Wang, Yejuan 10 Zhao, Xiao-Qiang 9 Duan, Jinqiao 9 Garrido-Atienza, María José 9 Ha, Seung-Yeal 9 Hafstein, Sigurður Freyr 9 Lenhart, Suzanne M. 9 Li, Yong 9 Ma, Wanbiao 9 Schmalfuß, Björn 9 Siegmund, Stefan 9 Thieme, Horst R. 9 Wu, Jianhong 9 Yuan, Rong 9 Zhang, Mingji 9 Zou, Xingfu 8 Friedman, Avner 8 Hu, Bei 8 Kolokolnikov, Theodore 8 Li, Yangrong 8 Liu, Jianguo 8 Magal, Pierre 8 Qiu, Zhipeng 8 Simó, Carles 8 Valls Anglés, Cláudia 8 Wang, Jinliang 8 Wang, Wendi 8 Wang, Zhian 8 You, Bo 8 Zhang, Weinian 8 Zhang, Zhimin 7 Chen, Yuming 7 Du, Qiang 7 Han, Xiaoying 7 Krejčí, Pavel 7 Li, Bingtuan 7 Lin, Guo 7 Ma, Qiaozhen 7 Ma, Tian 7 Mei, Linfeng 7 Migórski, Stanisław 7 Nolasco de Carvalho, Alexandre 7 Rachinskii, Dmitrii I. 7 Schmeidel, Ewa L. 7 Takeuchi, Yasuhiro 7 Tung, Ka Kit 7 Wang, Qi 7 Wang, Quan 7 Wang, Zhongqing 7 Webb, Glenn Francis 7 Wu, Fuke 7 Xiao, Dongmei 7 Zhang, Xuping 7 Zhong, Xin 7 Zhu, Huaiping 6 Adimy, Mostafa 6 Allaire, Grégoire 6 Cantrell, Robert Stephen 6 Chen, Guanrong 6 Chen, Lansun 6 Chen, Xingwu 6 Ducrot, Arnaud 6 Feng, Zhaosheng 6 Fu, Xianlong 6 Huang, Jicai 6 Jang, Sophia R.-J. 6 Jentzen, Arnulf 6 Jiang, Daqing 6 Jorba, Àngel 6 Jüngel, Ansgar 6 Kapustyan, Oleksiy V. 6 Langa, Jose’ Antonio 6 Lei, Jinzhi 6 Li, Dingshi 6 Li, Jianquan ...and 4,993 more Authors
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### Fields

 1,641 Partial differential equations (35-XX) 1,190 Biology and other natural sciences (92-XX) 900 Ordinary differential equations (34-XX) 813 Dynamical systems and ergodic theory (37-XX) 412 Probability theory and stochastic processes (60-XX) 391 Numerical analysis (65-XX) 375 Fluid mechanics (76-XX) 239 Systems theory; control (93-XX) 183 Calculus of variations and optimal control; optimization (49-XX) 144 Operator theory (47-XX) 142 Mechanics of deformable solids (74-XX) 122 Difference and functional equations (39-XX) 100 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 98 Statistical mechanics, structure of matter (82-XX) 92 Integral equations (45-XX) 80 Mechanics of particles and systems (70-XX) 54 Geophysics (86-XX) 52 Operations research, mathematical programming (90-XX) 49 Classical thermodynamics, heat transfer (80-XX) 42 Optics, electromagnetic theory (78-XX) 41 Real functions (26-XX) 39 Global analysis, analysis on manifolds (58-XX) 37 General and overarching topics; collections (00-XX) 28 Statistics (62-XX) 24 Differential geometry (53-XX) 22 Computer science (68-XX) 21 Measure and integration (28-XX) 20 Combinatorics (05-XX) 18 Functional analysis (46-XX) 17 Information and communication theory, circuits (94-XX) 15 Quantum theory (81-XX) 12 Approximations and expansions (41-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Special functions (33-XX) 8 History and biography (01-XX) 8 Functions of a complex variable (30-XX) 7 Astronomy and astrophysics (85-XX) 6 Potential theory (31-XX) 5 Field theory and polynomials (12-XX) 5 Algebraic geometry (14-XX) 5 General topology (54-XX) 4 Abstract harmonic analysis (43-XX) 4 Convex and discrete geometry (52-XX) 3 Number theory (11-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Relativity and gravitational theory (83-XX) 3 Mathematics education (97-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX)

### Citations contained in zbMATH Open

2,365 Publications have been cited 17,732 times in 13,849 Documents Cited by Year
Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation. Zbl 0997.76023
Gerbeau, J.-F.; Perthame, B.
2001
The diffusive competition model with a free boundary: invasion of a superior or inferior competitor. Zbl 1310.35245
Du, Yihong; Lin, Zhigui
2014
Optimal control of treatments in a two-strain tuberculosis model. Zbl 1005.92018
Jung, E.; Lenhart, S.; Feng, Z.
2002
Chemotaxis can prevent thresholds on population density. Zbl 1337.35160
Lankeit, Johannes
2015
Fisher waves in an epidemic model. Zbl 1097.34022
Zhao, Xiao-Qiang; Wang, Wendi
2004
Analysis of upscaling absolute permeability. Zbl 1162.65327
Wu, X. H.; Efendiev, Y.; Hou, T. Y.
2002
Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions. Zbl 1201.60063
Caraballo, Tomás; Garrido-Atienza, María J.; Schmalfuss, Björn; Valero, José
2010
Dynamics of a HIV-1 infection model with cell-mediated immune response and intracellular delay. Zbl 1169.92033
Zhu, Huiyan; Zou, Xingfu
2009
Mathematics of traveling waves in chemotaxis. Zbl 1277.35006
Wang, Zhi-An
2013
Bifurcation analysis in a predator-prey model with constant-yield predator harvesting. Zbl 1417.34092
Huang, Jicai; Gong, Yijun; Ruan, Shigui
2013
Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals. Zbl 1329.35075
Winkler, Michael; Tao, Youshan
2015
Optimal control of vector-borne diseases: Treatment and prevention. Zbl 1162.92034
Blayneh, Kbenesh; Cao, Yanzhao; Kwon, Hee-Dae
2009
Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1334.35104
Li, Yuxiang; Zhang, Qingshan
2015
Wide stencil finite difference schemes for the elliptic Monge-Ampère equation and functions of the eigenvalues of the Hessian. Zbl 1145.65085
2008
Modelling and analysis of integrated pest management strategy. Zbl 1114.92074
Tang, Sanyi; Chen, Lansun
2004
Traveling waves in a nonlocal dispersal Kermack-McKendrick epidemic model. Zbl 1277.35107
Yang, Fei-Ying; Li, Yan; Li, Wan-Tong; Wang, Zhi-Cheng
2013
Global analysis of age-structured within-host virus model. Zbl 1347.92080
Browne, Cameron J.; Pilyugin, Sergei S.
2013
Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models. Zbl 1201.35069
Lin, Guo; Li, Wan-Tong; Ma, Mingju
2010
Pattern formation of the attraction-repulsion Keller-Segel system. Zbl 1277.35048
Liu, Ping; Shi, Junping; Wang, Zhi-An
2013
On a well-posed turbulence model. Zbl 1089.76028
Layton, W.; Lewandowski, R.
2006
Global classical solutions of a 3D chemotaxis-Stokes system with rotation. Zbl 1322.35061
Cao, Xinru; Wang, Yulan
2015
Stability in thermoelasticity of type III. Zbl 1118.74012
Quintanilla, Ramon; Racke, Reinhard
2003
Pullback attractors for stochastic heat equations in materials with memory. Zbl 1152.60044
Caraballo, T.; Real, J.; Chueshov, I. D.
2008
A parametrization method for the computation of invariant tori and their whiskers in quasi-periodic maps: numerical algorithms. Zbl 1296.37048
Haro, À.; de la Llave, R.
2006
Error analysis of stabilized semi-implicit method of Allen-Cahn equation. Zbl 1201.65170
Yang, Xiaofeng
2009
A mathematical model of tumor-immune evasion and siRNA treatment. Zbl 1083.37531
Arciero, J. C.; Jackson, T. L.; Kirschner, D. E.
2004
Impulsive vaccination of SIR epidemic models with nonlinear incidence rates. Zbl 1100.92040
Hui, Jing; Chen, Lansun
2004
Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems. Zbl 1377.35158
Winkler, Michael
2017
Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity. Zbl 1366.35068
Mizukami, Masaaki
2017
$$Z$$-eigenvalue inclusion theorems for tensors. Zbl 1362.15014
Wang, Gang; Zhou, Guanglu; Caccetta, Louis
2017
A hierarchy of cancer models and their mathematical challenges. Zbl 1052.35094
Friedman, Avner
2004
Analysis of a phase field Navier-Stokes vesicle-fluid interaction model. Zbl 1172.74016
Du, Qiang; Li, Manlin; Liu, Chun
2007
On some properties of the Mittag-Leffler function $$E_\alpha(-t^\alpha)$$, completely monotone for $$t>0$$ with $$0<\alpha<1$$. Zbl 1303.26007
Mainardi, Francesco
2014
On the time decay of solutions in porous-thermo-elasticity of type II. Zbl 1197.35053
Leseduarte, M. Carme; Magaña, Antonio; Quintanilla, Ramón
2010
A modified proof of pullback attractors in a Sobolev space for stochastic FitzHugh-Nagumo equations. Zbl 1348.37114
Li, Yangrong; Yin, Jinyan
2016
Infinite propagation speed for a two component Camassa-Holm equation. Zbl 1180.35458
Henry, David
2009
Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion. Zbl 1200.37075
Garrido-Atienza, María J.; Lu, Kening; Schmalfuss, Björn
2010
Optimal control of ODE systems involving a rate independent variational inequality. Zbl 1260.49002
Brokate, Martin; Krejčí, Pavel
2013
On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models. Zbl 1202.35172
2010
Random attractors for stochastic FitzHugh-Nagumo systems driven by deterministic non-autonomous forcing. Zbl 1264.37046
2013
A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations. Zbl 1407.65097
Chen, Wenbin; Feng, Wenqiang; Liu, Yuan; Wang, Cheng; Wise, Steven M.
2019
Global existence for chemotaxis with finite sampling radius. Zbl 1116.92011
Hillen, T.; Painter, K.; Schmeiser, C.
2007
A direct Lebeau-Robbiano strategy for the observability of heat-like semigroups. Zbl 1219.93017
Miller, Luc
2010
Long-time behaviour of a perturbed SIR model by white noise. Zbl 1435.92077
Lin, Yuguo; Jiang, Daqing
2013
A model for disease transmission in a patchy environment. Zbl 1088.92050
Salmani, Mahin; van den Driessche, P.
2006
Efficient time discretization for local discontinuous Galerkin methods. Zbl 1141.65076
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
2007
Competitive-exclusion versus competitive-coexistence for systems in the plane. Zbl 1116.37030
Kulenović, M. R. S.; Merino, Orlando
2006
Blow-up in finite or infinite time for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type. Zbl 1277.35071
Ishida, Sachiko; Yokota, Tomomi
2013
Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. Zbl 1360.35084
Black, Tobias
2017
Asymptotic behavior of random FitzHugh-Nagumo systems driven by colored noise. Zbl 1396.35078
Gu, Anhui; Wang, Bixiang
2018
Analysis of a scalar nonlocal peridynamic model with a sign changing kernel. Zbl 1278.45014
2013
Intraspecific interference and consumer-resource dynamics. Zbl 1100.92061
Cantrell, Robert Stephen; Cosner, Chris; Ruan, Shigui
2004
Review on computational methods for Lyapunov functions. Zbl 1337.37001
Hafstein, Sigurdur; Giesl, Peter
2015
Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Zbl 1207.92040
Hu, Zhixing; Bi, Ping; Ma, Wanbiao; Ruan, Shigui
2011
A multilayer Saint-Venant model: derivation and numerical validation. Zbl 1075.35030
Audusse, E.
2005
Mean field games with nonlinear mobilities in pedestrian dynamics. Zbl 1304.49008
Burger, Martin; Di Francesco, Marco; Markowich, Peter A.; Wolfram, Marie-Therese
2014
Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects. Zbl 1326.35041
Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valéria N.; Lasiecka, Irena; Falcão Nascimento, Flávio A.
2014
On the Hunter-Saxton system. Zbl 1176.35028
Wunsch, Marcus
2009
Travelling waves for integro-differential equations in population dynamics. Zbl 1173.35541
Apreutesei, Narcisa; Ducrot, Arnaud; Volpert, Vitaly
2009
Global stability of a five-dimensional model with immune responses and delay. Zbl 1233.92061
Yan, Yincui; Wang, Wendi
2012
Weak solution to compressible hydrodynamic flow of liquid crystals in dimension one. Zbl 1217.35099
Ding, Shijin; Wang, Changyou; Wen, Huanyao
2011
Variational proof for hard discrete breathers in some classes of Hamiltonian dynamical systems. Zbl 1092.37523
Aubry, S.; Kopidakis, G.; Kadelburg, V.
2001
Global bifurcation for discrete competitive systems in the plane. Zbl 1175.37058
Kulenović, M. R. S.; Merino, Orlando
2009
Well-posedness and numerical algorithm for the tempered fractional differential equations. Zbl 1414.34005
Li, Can; Deng, Weihua; Zhao, Lijing
2019
Global dynamics of a predator-prey model with Hassell-Varley type functional response. Zbl 1160.34046
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
2008
Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068
Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz
2013
Sufficient conditions for stability of linear differential equations with distributed delay. Zbl 0993.34065
Bernard, Samuel; Bélair, Jacques; Mackey, Michael C.
2001
Spatial structures and generalized travelling waves for an integro-differential equation. Zbl 1191.35041
Apreutesei, Narcisa; Bessonov, Nikolai; Volpert, Vitaly; Vougalter, Vitali
2010
Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension. Zbl 1272.35040
Tao, Youshan; Wang, Lihe; Wang, Zhi-An
2013
A mixed discontinuous Galerkin, convex splitting scheme for a modified Cahn-Hilliard equation and an efficient nonlinear multigrid solver. Zbl 1278.65149
Aristotelous, Andreas C.; Karakashian, Ohannes; Wise, Steven M.
2013
Exponential stability of solutions to impulsive stochastic differential equations driven by $$G$$-Brownian motion. Zbl 1335.34089
Ren, Yong; Jia, Xuejuan; Hu, Lanying
2015
Second-sound phenomena in inviscid, thermally relaxing gases. Zbl 1302.76095
Jordan, Pedro M.
2014
Regularity under sharp anisotropic general growth conditions. Zbl 1158.49040
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
2009
The polynomial-preserving recovery for higher order finite element methods in 2D and 3D. Zbl 1078.65108
Naga, A.; Zhang, Z.
2005
Global analysis of within host virus models with cell-to-cell viral transmission. Zbl 1330.37076
Pourbashash, Hossein; Pilyugin, Sergei S.; De Leenheer, Patrick; McCluskey, Connell
2014
Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity. Zbl 1370.35052
Cao, Xinru
2017
Generalized Lyapunov-Razumikhin method for retarded differential inclusions: applications to discontinuous neural networks. Zbl 1371.34107
Cai, Zuowei; Huang, Jianhua; Huang, Lihong
2017
On a generalized Cahn-Hilliard equation with biological applications. Zbl 1304.35133
Cherfils, Laurence; Miranville, Alain; Zelik, Sergey
2014
Traveling wave solutions for a diffusive SIS epidemic model. Zbl 1282.35118
Ding, Wei; Huang, Wenzhang; Kansakar, Siroj
2013
Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity. Zbl 1330.35051
Senba, Takasi; Fujie, Kentarou
2016
Kernel sections for processes and nonautonomous lattice systems. Zbl 1149.37040
Zhao, Xiao-Qiang; Zhou, Shengfan
2008
Phase portraits, Hopf bifurcations and limit cycles of Leslie-Gower predator-prey systems with harvesting rates. Zbl 1201.34065
Zhu, C. R.; Lan, K. Q.
2010
Avian influenza dynamics in wild birds with bird mobility and spatial heterogeneous environment. Zbl 1258.35033
Vaidya, Naveen K.; Wang, Feng-Bin; Zou, Xingfu
2012
Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity. Zbl 1282.35189
Tao, Youshan
2013
Convergence of global and bounded solutions of a two-species chemotaxis model with a logistic source. Zbl 1366.35067
Lin, Ke; Mu, Chunlai
2017
Global solutions and exponential attractors of a parabolic-parabolic system for chemotaxis with subquadratic degradation. Zbl 1318.37028
Nakaguchi, Etsushi; Osaki, Koichi
2013
Traveling wave solutions of a nonlocal delayed SIR model without outbreak threshold. Zbl 1311.35051
Li, Wan-Tong; Lin, Guo; Ma, Cong; Yang, Fei-Ying
2014
Interaction of diffusion and delay. Zbl 1128.92001
2007
A robust well-balanced scheme for multi-layer shallow water equations. Zbl 1308.76060
2010
Global analysis of a stochastic TB model with vaccination and treatment. Zbl 1418.92075
Feng, Tao; Qiu, Zhipeng
2019
Existence and multiplicity of homoclinic orbits for second order Hamiltonian systems without $$(AR)$$ condition. Zbl 1216.34033
Wan, Li-Li; Tang, Chun-Lei
2011
A systematic method for building smooth controls for smooth data. Zbl 1219.93011
Ervedoza, Sylvain; Zuazua, Enrique
2010
From a class of kinetic models to the macroscopic equations for multicellular systems in biology. Zbl 1044.92021
Bellomo, N.; Bellouquid, A.
2004
Analysis of a model for the dynamics of prions. Zbl 1088.92043
Prüss, Jan; Pujo-Menjouet, Laurent; Webb, G. F.; Zacher, Rico
2006
Existence and uniqueness of solutions of free boundary problems in heterogeneous environments. Zbl 1404.35230
Wang, Mingxin
2019
Local stability implies global stability in some one-dimensional discrete single-species models. Zbl 1187.39026
Liz, Eduardo
2007
Examples of moderate deviation principle for diffusion processes. Zbl 1138.60029
Guillin, A.; Liptser, R.
2006
Boundedness and stabilization in a two-species chemotaxis system with two chemicals. Zbl 1426.35133
Wang, Liangchen; Zhang, Jing; Mu, Chunlai; Hu, Xuegang
2020
A mathematical evolution model for phytoremediation of metals. Zbl 1085.34530
Thomas, Diana M.; Vandemuelebroeke, Lynn; Yamaguchi, Kenneth
2005
Relaxation oscillation profile of limit cycle in predator-prey system. Zbl 1176.34049
Hsu, Sze-Bi; Shi, Junping
2009
New well-posedness results for stochastic delay Rayleigh-Stokes equations. Zbl 07599018
Tuan, Nguyen Huy; Phuong, Nguyen Duc; Thach, Tran Ngoc
2023
Stage-structured models for interactive wild and periodically and impulsively released sterile mosquitoes. Zbl 07536437
Ai, Shangbing; Li, Jia; Yu, Jianshe; Zheng, Bo
2022
Dynamics of Timoshenko system with time-varying weight and time-varying delay. Zbl 1481.35065
Nonato, Carlos; dos Santos, Manoel Jeremias; Raposo, Carlos
2022
Weak pullback attractors for stochastic Ginzburg-Landau equations in Bochner spaces. Zbl 1494.37050
Zhang, Lu; Zou, Aihong; Yan, Tao; Shu, Ji
2022
A general multipatch cholera model in periodic environments. Zbl 1486.92293
Wang, Feng-Bin; Wang, Xueying
2022
Gaussian invariant measures and stationary solutions of 2D primitive equations. Zbl 1486.60076
Grotto, Francesco; Pappalettera, Umberto
2022
A true three-scroll chaotic attractor coined. Zbl 1495.34025
Wang, Haijun; Fan, Hongdan; Pan, Jun
2022
Equivalence between exponential stabilization and observability inequality for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights. Zbl 1490.35226
Kong, Aowen; Nonato, Carlos; Liu, Wenjun; dos Santos, Manoel Jeremias; Raposo, Carlos
2022
Concentration phenomenon of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with spontaneous infection. Zbl 1490.35031
Lei, Chengxia; Zhou, Xinhui
2022
Nonstationary homoclinic orbit for an infinite-dimensional fractional reaction-diffusion system. Zbl 07576968
Chen, Peng; Mei, Linfeng; Tang, Xianhua
2022
Monotonic and nonmonotonic immune responses in viral infection systems. Zbl 1486.34104
Wang, Shaoli; Li, Huixia; Xu, Fei
2022
Analysis of an age-structured model for HIV-TB co-infection. Zbl 1486.92229
Guo, Zhong-Kai; Huo, Hai-Feng; Xiang, Hong
2022
Random perturbations of an eco-epidemiological model. Zbl 1486.34096
de Jesus, Lopo F.; Silva, César M.; Vilarinho, Helder
2022
Strong solutions to a fluid-particle interaction model with magnetic field in $$\mathbb{R}^2$$. Zbl 1481.35308
Ding, Shijin; Huang, Bingyuan; Hou, Xiaoyan
2022
Qualitative analysis of integro-differential equations with variable retardation. Zbl 1496.45007
Bohner, Martin; Tunç, Osman
2022
Single-target networks. Zbl 1489.37105
Craciun, Gheorghe; Jin, Jiaxin; Yu, Polly Y.
2022
Mixed Hegselmann-Krause dynamics. Zbl 1489.37114
Li, Hsin-Lun
2022
Turing instability and pattern formations for reaction-diffusion systems on 2D bounded domain. Zbl 1481.35038
Jiang, Weihua; Cao, Xun; Wang, Chuncheng
2022
Two finite difference methods based on an H2N2 interpolation for two-dimensional time fractional mixed diffusion and diffusion-wave equations. Zbl 1481.65153
Shen, Jinye; Gu, Xian-Ming
2022
Critical traveling wave solutions for a vaccination model with general incidence. Zbl 1484.35118
Yang, Yu; Zhou, Jinling; Hsu, Cheng-Hsiung
2022
Nonconstant positive solutions to the ratio-dependent predator-prey system with prey-taxis in one dimension. Zbl 1484.35047
Cao, Qian; Cai, Yongli; Luo, Yong
2022
Slow-fast dynamics and nonlinear oscillations in transmission of mosquito-borne diseases. Zbl 1491.34065
Shan, Chunhua
2022
The dynamic properties of a generalized Kawahara equation with Kuramoto-Sivashinsky perturbation. Zbl 1492.35254
Chen, Shuting; Du, Zengji; Liu, Jiang; Wang, Ke
2022
Linear programming estimates for Cesàro and Abel limits of optimal values in optimal control problems. Zbl 1484.49062
2022
Modelling the effects of ozone concentration and pulse vaccination on seasonal influenza outbreaks in Gansu Province, China. Zbl 1496.37092
Jing, Shuang-Lin; Huo, Hai-Feng; Xiang, Hong
2022
A competition model in the chemostat with allelopathy and substrate inhibition. Zbl 1494.34123
Dellal, Mohamed; Bar, Bachir; Lakrib, Mustapha
2022
Singular function emerging from one-dimensional elementary cellular automaton rule 150. Zbl 07501088
2022
Interactions of time delay and spatial diffusion induce the periodic oscillation of the vegetation system. Zbl 1485.35035
Li, Jing; Sun, Gui-Quan; Jin, Zhen
2022
On existence and numerical approximation in phase-lag thermoelasticity with two temperatures. Zbl 1490.35481
Campo, Marco; Copetti, Maria I. M.; Fernández, José R.; Quintanilla, Ramón
2022
Dynamics of a depletion-type Gierer-Meinhardt model with Langmuir-Hinshelwood reaction scheme. Zbl 1492.35357
Chen, Mengxin; Wu, Ranchao; Xu, Yancong
2022
Global population dynamics of a single species structured with distinctive time-varying maturation and self-limitation delays. Zbl 1494.34184
Huang, Chuangxia; Huang, Lihong; Wu, Jianhong
2022
A stabilized nonconforming Nitsche’s extended finite element method for Stokes interface problems. Zbl 1491.65140
He, Xiaoxiao; Song, Fei; Deng, Weibing
2022
On the mean field limit for Cucker-Smale models. Zbl 1486.92332
Natalini, Roberto; Paul, Thierry
2022
Modeling the influence of human population and human population augmented pollution on rainfall. Zbl 07536434
Misra, A. K.; Agrawal, Gauri; Lata, Kusum
2022
Strong attractors and their robustness for an extensible beam model with energy damping. Zbl 07536440
Sun, Yue; Yang, Zhijian
2022
A quasilinear parabolic-parabolic chemotaxis model with logistic source and singular sensitivity. Zbl 1496.92009
Zhao, Jie
2022
Invasive speed for a competition-diffusion system with three species. Zbl 1490.35090
Pan, Chaohong; Wang, Hongyong; Ou, Chunhua
2022
Pseudo compact almost automorphy of neutral type Clifford-valued neural networks with mixed delays. Zbl 07569501
Li, Yongkun; Li, Bing
2022
The minimal wave speed of the Lotka-Volterra competition model with seasonal succession. Zbl 1495.35071
Meng, Wentao; Yue, Yuanxi; Ma, Manjun
2022
Recent developments on spatial propagation for diffusion equations in shifting environments. Zbl 1495.35074
Wang, Jia-Bing; Li, Wan-Tong; Dong, Fang-Di; Qiao, Shao-Xia
2022
Dynamics for the 3D incompressible Navier-Stokes equations with double time delays and damping. Zbl 1496.35284
Shi, Wei; Cui, Xiaona; Li, Xuezhi; Yang, Xin-Guang
2022
Global strong solution to the nonhomogeneous micropolar fluid equations with large initial data and vacuum. Zbl 1496.35331
Zhong, Xin
2022
The study on cyclicity of a class of cubic systems. Zbl 07595594
Chen, Yuanyuan; Yu, Jiang
2022
Large-time behavior of solutions to the bipolar quantum Euler-Poisson system with critical time-dependent over-damping. Zbl 07595607
Wu, Qiwei
2022
Mortality can produce limit cycles in density-dependent models with a predator-prey relationship. Zbl 07595648
Mtar, Tahani; Fekih-Salem, Radhouane; Sari, Tewfik
2022
Continuous dependence of the Cauchy problem for the inhomogeneous nonlinear Schrödinger equation in $$H^s (\mathbb{R}^n)$$. Zbl 07606634
An, Jinmyong; Kim, Jinmyong; Chae, Kyusong
2022
Large time behavior in a predator-prey system with pursuit-evasion interaction. Zbl 07606651
Qi, Dayong; Ke, Yuanyuan
2022
Pattern formation in diffusive predator-prey systems with predator-taxis and prey-taxis. Zbl 1465.35052
Wang, Jinfeng; Wu, Sainan; Shi, Junping
2021
Ecological and evolutionary dynamics in advective environments: critical domain size and boundary conditions. Zbl 1464.35362
Hao, Wenrui; Lam, King-Yeung; Lou, Yuan
2021
Nonlinear dynamics in tumor-immune system interaction models with delays. Zbl 1468.34115
Ruan, Shigui
2021
Cauchy problem for stochastic non-autonomous evolution equations governed by noncompact evolution families. Zbl 1469.34082
Chen, Pengyu; Li, Yongxiang; Zhang, Xuping
2021
Asymptotic profiles of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with saturated incidence rate. Zbl 1471.35275
Cui, Renhao
2021
When do Keller-Segel systems with heterogeneous logistic sources admit generalized solutions? Zbl 1472.35413
Yan, Jianlu; Fuest, Mario
2021
Modeling multiple taxis: tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence. Zbl 1467.35323
Kolbe, Niklas; Sfakianakis, Nikolaos; Stinner, Christian; Surulescu, Christina; Lenz, Jonas
2021
Approximation methods for the distributed order calculus using the convolution quadrature. Zbl 1472.65034
Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin
2021
Invariant measures of stochastic delay lattice systems. Zbl 1471.37070
Chen, Zhang; Li, Xiliang; Wang, Bixiang
2021
On the unboundedness of the ratio of species and resources for the diffusive logistic equation. Zbl 1471.35276
Inoue, Jumpei; Kuto, Kousuke
2021
Qualitative analysis of a Lotka-Volterra competition-diffusion-advection system. Zbl 1466.92161
Wei, Dan; Guo, Shangjiang
2021
Global strong solution and exponential decay for nonhomogeneous Navier-Stokes and magnetohydrodynamic equations. Zbl 1467.76075
Zhong, Xin
2021
Global analysis of a model of competition in the chemostat with internal inhibitor. Zbl 1469.34064
Dellal, Mohamed; Bar, Bachir
2021
The Keller-Segel system with logistic growth and signal-dependent motility. Zbl 1466.35038
Jin, Hai-Yang; Wang, Zhi-An
2021
Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve. Zbl 1486.37031
Tian, Huanhuan; Han, Maoan
2021
Mathematical analysis of a three-tiered food-web in the chemostat. Zbl 1471.34096
Nouaoura, Sarra; Fekih-Salem, Radhouane; Abdellatif, Nahla; Sari, Tewfik
2021
Global optimization-based dimer method for finding saddle points. Zbl 1468.37057
Yu, Bing; Zhang, Lei
2021
Global attractor for a suspension bridge problem with a nonlinear delay term in the internal feedback. Zbl 1465.35059
Liu, Wenjun; Zhuang, Hefeng
2021
Global existence and exponential decay of strong solutions to the Cauchy problem of 3D density-dependent Navier-Stokes equations with vacuum. Zbl 1470.35286
Liu, Yang
2021
Long-time dynamics of a diffusive epidemic model with free boundaries. Zbl 1466.35047
Wang, Rong; Du, Yihong
2021
Dynamics at infinity and Jacobi stability of trajectories for the Yang-Chen system. Zbl 1470.34041
Liu, Yongjian; Huang, Qiujian; Wei, Zhouchao
2021
Global and exponential attractors for a nonlinear porous elastic system with delay term. Zbl 1466.35033
Dos Santos, Manoel J.; Feng, Baowei; Almeida Júnior, Dilberto S.; Santos, Mauro L.
2021
Wong-Zakai approximations and attractors for stochastic wave equations driven by additive noise. Zbl 1472.60106
Wang, Xiaohu; Li, Dingshi; Shen, Jun
2021
On initial value and terminal value problems for subdiffusive stochastic Rayleigh-Stokes equation. Zbl 1472.60098
Caraballo, Tomás; Ngoc, Tran Bao; Thach, Tran Ngoc; Tuan, Nguyen Huy
2021
High-order numerical method for two-dimensional Riesz space fractional advection-dispersion equation. Zbl 1476.65163
Borhanifar, Abdollah; Ragusa, Maria Alessandra; Valizadeh, Sohrab
2021
An adaptive finite element DtN method for the three-dimensional acoustic scattering problem. Zbl 1465.65125
Bao, Gang; Zhang, Mingming; Hu, Bin; Li, Peijun
2021
Fully discrete finite element approximation of the 2D/3D unsteady incompressible magnetohydrodynamic-Voigt regularization flows. Zbl 1465.65102
Lu, Xiaoli; Huang, Pengzhan; He, Yinnian
2021
On the asymptotic behavior of solutions to time-fractional elliptic equations driven by a multiplicative white noise. Zbl 1465.35400
Tuan, Hoang The
2021
Global dynamics of a predator-prey system with density-dependent mortality and ratio-dependent functional response. Zbl 1466.92149
Jiang, Xin; She, Zhikun; Ruan, Shigui
2021
The optimal distribution of resources and rate of migration maximizing the population size in logistic model with identical migration. Zbl 1466.92150
Liang, Xing; Zhang, Lei
2021
Mathematical modeling of an immune checkpoint inhibitor and its synergy with an immunostimulant. Zbl 1464.92132
Nikolopoulou, Elpiniki; Eikenberry, Steffen E.; Gevertz, Jana L.; Kuang, Yang
2021
A blow-up result for the chemotaxis system with nonlinear signal production and logistic source. Zbl 1467.92044
Yi, Hong; Mu, Chunlai; Xu, Guangyu; Dai, Pan
2021
Permanence and extinction of a stochastic SIS epidemic model with three independent Brownian motions. Zbl 1470.34131
Li, Shangzhi; Guo, Shangjiang
2021
Moran process and Wright-Fisher process favor low variability. Zbl 1466.92130
Rychtář, Jan; Taylor, Dewey T.
2021
Weak pullback mean random attractors for non-autonomous $$p$$-Laplacian equations. Zbl 1466.35053
Gu, Anhui
2021
Upper semi-continuity of attractors for non-autonomous fractional stochastic parabolic equations with delay. Zbl 1466.35052
Chen, Pengyu; Zhang, Xuping
2021
On existence and uniqueness properties for solutions of stochastic fixed point equations. Zbl 1462.60096
Beck, Christian; Gonon, Lukas; Hutzenthaler, Martin; Jentzen, Arnulf
2021
Stochastic modelling and analysis of harvesting model: application to “summer fishing moratorium” by intermittent control. Zbl 1471.34108
Zou, Xiaoling; Zheng, Yuting
2021
Persistence and extinction of a stochastic SIS epidemic model with regime switching and Lévy jumps. Zbl 1475.92177
Li, Shangzhi; Guo, Shangjiang
2021
Local well-posedness for the density-dependent incompressible magneto-micropolar system with vacuum. Zbl 1479.35695
Tang, Tong; Sun, Jianzhu
2021
Initial value problem for fractional Volterra integro-differential equations with Caputo derivative. Zbl 1478.35226
Nguyen, Huy Tuan; Nguyen, Huu Can; Wang, Renhai; Zhou, Yong
2021
Water taxes and fines imposed on legal and illegal firms exploiting groudwater. Zbl 1476.91107
Biancardi, Marta; Maddalena, Lucia; Villani, Giovanni
2021
Stationary solutions of a free boundary problem modeling the growth of vascular tumors with a necrotic core. Zbl 1465.35420
Song, Huijuan; Hu, Bei; Wang, Zejia
2021
Limit cycles of planar system defined by the sum of two quasi-homogeneous vector fields. Zbl 1471.34060
Huang, Jianfeng; Liang, Haihua
2021
Entire solutions originating from monotone fronts for nonlocal dispersal equations with bistable nonlinearity. Zbl 1465.35021
Dong, Fang-Di; Li, Wan-Tong; Wu, Shi-Liang; Zhang, Li
2021
Global dynamics in a tumor-immune model with an immune checkpoint inhibitor. Zbl 1469.34067
Shi, Shujing; Huang, Jicai; Kuang, Yang
2021
On the asymptotic behaviour of traveling wave solution for a discrete diffusive epidemic model. Zbl 1469.37057
Zhang, Ran; Liu, Shengqiang
2021
Global well-posedness of non-isothermal inhomogeneous nematic liquid crystal flows. Zbl 1470.35275
Bian, Dongfen; Xiao, Yao
2021
Diffusive limit to a selection-mutation equation with small mutation formulated on the space of measures. Zbl 1465.35025
Ackleh, Azmy S.; Saintier, Nicolas
2021
Attractors for Fitzhugh-Nagumo lattice systems with almost periodic nonlinear parts. Zbl 1476.37090
Boughoufala, Amira M.; Abdallah, Ahmed Y.
2021
Spatial pattern formation in activator-inhibitor models with nonlocal dispersal. Zbl 1466.35024
Chen, Shanshan; Shi, Junping; Zhang, Guohong
2021
Mean-square delay-distribution-dependent exponential synchronization of chaotic neural networks with mixed random time-varying delays and restricted disturbances. Zbl 1467.93267
Hai, Quan; Liu, Shutang
2021
Global well-posedness of a 3D Stokes-magneto equations with fractional magnetic diffusion. Zbl 1471.35234
Ji, Yingdan; Tan, Wen
2021
...and 1114 more Documents
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### Cited by 14,689 Authors

 84 Li, Wan-Tong 64 Caraballo Garrido, Tomás 57 Wang, Bixiang 55 Jiang, Daqing 55 Quintanilla de Latorre, Ramón 54 Mu, Chunlai 53 Ruan, Shigui 52 Winkler, Michael 51 Yang, Xiaofeng 47 Teng, Zhi-dong 42 Li, Yangrong 42 Yuan, Rong 41 Chung, Tsz Shun Eric 39 Chen, Lansun 39 Kloeden, Peter Eris 39 Zhao, Xiao-Qiang 38 Du, Qiang 38 Llibre, Jaume 37 Wang, Zhian 36 Carrillo de la Plata, José Antonio 36 Guo, Shangjiang 36 Kulenović, Mustafa R. S. 35 Tang, Sanyi 33 Shi, Junping 32 Gao, Hongjun 32 Hayat, Tasawar 31 Kuniya, Toshikazu 31 Valero, José 31 Wang, Jinliang 31 Zheng, Pan 30 Mao, Xuerong 30 Shen, Wenxian 30 Yuan, Sanling 29 Al-saedi, Ahmed Eid Salem 29 Feng, Zhaosheng 29 Perthame, Benoît 29 Volpert, Vitaly A. 29 Wang, Renhai 29 Wu, Shiliang 28 Chen, Yuming 28 Lin, Zhigui 27 Bellomo, Nicola 27 Garrido-Atienza, María José 27 Huang, Jianhua 27 Lin, Guo 27 Liu, Qun 27 Miranville, Alain M. 27 Ren, Yong 27 Wang, Weiming 27 Zhang, Tonghua 26 Efendiev, Yalchin R. 26 He, Xiaoming 26 Huo, Hai-Feng 26 Lou, Yuan 26 Ma, Wanbiao 26 Zhao, Weidong 25 Hsu, Cheng-Hsiung 25 Huang, Jicai 25 Zhou, Shengfan 24 Mireles-James, Jason D. 24 Nguyen Huy Tuan 24 Wang, Mingxin 24 Yang, Yu 23 Chen, Fengde 23 He, Yinnian 23 Liu, Shengqiang 23 Song, Xinyu 23 Sun, Chunyou 23 Zhao, Caidi 22 Ackleh, Azmy S. 22 Du, Yihong 22 Gardini, Laura 22 Giesl, Peter 22 Kuang, Yang 22 Li, Dingshi 22 Liu, Meng 22 Liu, Zuhan 22 Meng, Xinzhu 22 Qiu, Zhipeng 22 Wang, Cheng 22 Wei, Junjie 22 Yu, Zhixian 21 Cao, Jinde 21 Feng, Xinlong 21 Gu, Anhui 21 Guo, Jong-Shenq 21 Ledzewicz, Urszula 21 Ren, Guoqiang 21 Schmalfuß, Björn 21 Shu, Ji 21 Zheng, Jiashan 21 Zhong, Xin 21 Zhou, Ling 21 Zou, Xingfu 20 Adimy, Mostafa 20 Coclite, Giuseppe Maria 20 Elaiw, Ahmed M. 20 Ha, Seung-Yeal 20 Hafstein, Sigurður Freyr 20 Kang, Yun ...and 14,589 more Authors
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### Cited in 678 Journals

 743 Discrete and Continuous Dynamical Systems. Series B 555 Journal of Differential Equations 510 Journal of Mathematical Analysis and Applications 345 Nonlinear Analysis. Real World Applications 316 Applied Mathematics and Computation 228 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 224 Discrete and Continuous Dynamical Systems 219 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 211 Journal of Mathematical Biology 205 Advances in Difference Equations 203 Journal of Computational and Applied Mathematics 194 Mathematical Biosciences and Engineering 184 ZAMP. Zeitschrift für angewandte Mathematik und Physik 180 Journal of Computational Physics 171 Bulletin of Mathematical Biology 169 Computers & Mathematics with Applications 166 Physica D 161 Chaos, Solitons and Fractals 154 Communications on Pure and Applied Analysis 152 Journal of Scientific Computing 147 Applied Mathematics Letters 147 Journal of Theoretical Biology 146 Applicable Analysis 141 Journal of Dynamics and Differential Equations 137 Communications in Nonlinear Science and Numerical Simulation 131 Discrete and Continuous Dynamical Systems. Series S 129 Journal of Mathematical Physics 127 International Journal of Biomathematics 119 Mathematical Biosciences 116 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 116 Journal of Biological Dynamics 114 Physica A 114 SIAM Journal on Mathematical Analysis 112 Journal of Difference Equations and Applications 105 Mathematical Methods in the Applied Sciences 101 Applied Numerical Mathematics 101 Discrete Dynamics in Nature and Society 99 Nonlinearity 98 Abstract and Applied Analysis 94 Journal of Nonlinear Science 90 Boundary Value Problems 85 SIAM Journal on Applied Dynamical Systems 82 Acta Applicandae Mathematicae 82 Nonlinear Dynamics 80 SIAM Journal on Control and Optimization 79 Applied Mathematical Modelling 75 SIAM Journal on Applied Mathematics 75 Qualitative Theory of Dynamical Systems 72 Chaos 70 Archive for Rational Mechanics and Analysis 69 AIMS Mathematics 67 Mathematics and Computers in Simulation 65 Computer Methods in Applied Mechanics and Engineering 65 Journal of Evolution Equations 64 Calculus of Variations and Partial Differential Equations 62 Journal of Applied Mathematics and Computing 61 Stochastics and Dynamics 59 Automatica 56 Journal of Mathematical Fluid Mechanics 55 Applied Mathematics and Optimization 55 Complexity 54 Mathematical and Computer Modelling 53 Journal of the Franklin Institute 52 Celestial Mechanics and Dynamical Astronomy 52 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 51 Evolution Equations and Control Theory 49 Mathematical Modelling of Natural Phenomena 48 SIAM Journal on Numerical Analysis 47 Journal de Mathématiques Pures et Appliquées. Neuvième Série 47 Journal of Applied Analysis and Computation 46 Proceedings of the American Mathematical Society 44 Journal of Statistical Physics 44 Electronic Research Archive 43 Computational and Applied Mathematics 42 Mathematical Problems in Engineering 40 SIAM Journal on Scientific Computing 40 NoDEA. Nonlinear Differential Equations and Applications 40 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 40 Science China. Mathematics 39 Communications in Mathematical Physics 39 Journal of Optimization Theory and Applications 38 Mathematics of Computation 38 Stochastic Analysis and Applications 38 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 38 Numerical Algorithms 38 Multiscale Modeling & Simulation 37 Electronic Journal of Differential Equations (EJDE) 35 International Journal of Control 35 Journal of Functional Analysis 35 International Journal of Computer Mathematics 35 Comptes Rendus. Mathématique. Académie des Sciences, Paris 35 Mathematical Control and Related Fields 34 Kinetic and Related Models 33 Stochastic Processes and their Applications 33 Mediterranean Journal of Mathematics 33 Communications in Computational Physics 33 Nonlinear Analysis. Hybrid Systems 32 Journal of Biological Systems 31 Numerische Mathematik 31 Communications in Partial Differential Equations ...and 578 more Journals
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### Cited in 60 Fields

 6,669 Partial differential equations (35-XX) 5,140 Biology and other natural sciences (92-XX) 2,816 Ordinary differential equations (34-XX) 2,163 Dynamical systems and ergodic theory (37-XX) 1,976 Numerical analysis (65-XX) 1,671 Fluid mechanics (76-XX) 1,356 Probability theory and stochastic processes (60-XX) 994 Systems theory; control (93-XX) 813 Calculus of variations and optimal control; optimization (49-XX) 670 Mechanics of deformable solids (74-XX) 512 Operator theory (47-XX) 463 Statistical mechanics, structure of matter (82-XX) 408 Difference and functional equations (39-XX) 356 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 315 Mechanics of particles and systems (70-XX) 290 Integral equations (45-XX) 237 Real functions (26-XX) 229 Operations research, mathematical programming (90-XX) 170 Geophysics (86-XX) 151 Classical thermodynamics, heat transfer (80-XX) 126 Global analysis, analysis on manifolds (58-XX) 115 Optics, electromagnetic theory (78-XX) 107 Computer science (68-XX) 100 Quantum theory (81-XX) 87 Functional analysis (46-XX) 83 Statistics (62-XX) 78 Linear and multilinear algebra; matrix theory (15-XX) 71 Differential geometry (53-XX) 68 Information and communication theory, circuits (94-XX) 53 Combinatorics (05-XX) 51 Special functions (33-XX) 46 Approximations and expansions (41-XX) 43 Measure and integration (28-XX) 39 Harmonic analysis on Euclidean spaces (42-XX) 32 General topology (54-XX) 29 Functions of a complex variable (30-XX) 24 Integral transforms, operational calculus (44-XX) 17 Potential theory (31-XX) 15 General and overarching topics; collections (00-XX) 15 Astronomy and astrophysics (85-XX) 13 Several complex variables and analytic spaces (32-XX) 12 Topological groups, Lie groups (22-XX) 11 History and biography (01-XX) 11 Algebraic geometry (14-XX) 10 Mathematics education (97-XX) 9 Group theory and generalizations (20-XX) 9 Relativity and gravitational theory (83-XX) 8 Number theory (11-XX) 8 Convex and discrete geometry (52-XX) 8 Manifolds and cell complexes (57-XX) 7 Field theory and polynomials (12-XX) 6 Algebraic topology (55-XX) 5 Commutative algebra (13-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Abstract harmonic analysis (43-XX) 2 Mathematical logic and foundations (03-XX) 2 Geometry (51-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX)