# zbMATH — the first resource for mathematics

## 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: http://aimsciences.org/journal/1531-3492 Comments: Indexed cover-to-cover
 Documents Indexed: 2,896 Publications (since 2001) References Indexed: 1,523 Publications with 47,608 References.
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#### Authors

 28 Caraballo Garrido, Tomás 21 Llibre, Jaume 19 Li, Wan-Tong 19 Ruan, Shigui 17 Kloeden, Peter Eris 14 Hsu, Szebi 13 Ledzewicz, Urszula 12 Giesl, Peter 12 Huang, Jianhua 12 Kuang, Yang 12 Mao, Xuerong 12 Valero, José 11 He, Yinnian 11 Wang, Feng-Bin 10 Guo, Shangjiang 10 Lou, Yuan 10 Mu, Chunlai 10 Nie, Qing 10 Schättler, Heinz Michael 10 Zhao, Xiao-Qiang 9 Duan, Jinqiao 9 Garrido-Atienza, María José 9 Guo, Boling 9 Lenhart, Suzanne M. 9 Liu, Jianguo 9 Schmalfuß, Björn 9 Shi, Junping 9 Siegmund, Stefan 9 Zhang, Zhimin 9 Zou, Xingfu 8 Friedman, Avner 8 Gao, Hongjun 8 Li, Yong 8 Lin, Zhigui 8 Magal, Pierre 8 Simó, Carles 8 Thieme, Horst R. 8 Wang, Jinliang 8 Wang, Qi 8 Wang, Wendi 8 Wang, Zhian 8 Zhang, Weinian 8 Zhong, Chengkui 7 Du, Qiang 7 Ha, Seung-Yeal 7 Hafstein, Sigurður Freyr 7 Han, Xiaoying 7 Hu, Bei 7 Kolokolnikov, Theodore 7 Krejčí, Pavel 7 Li, Bingtuan 7 Ma, Tian 7 Ma, Wanbiao 7 Migórski, Stanisław 7 Rachinskii, Dmitrii I. 7 Schmeidel, Ewa L. 7 Takeuchi, Yasuhiro 7 Tung, Ka Kit 7 Valls Anglés, Cláudia 7 Wang, Bixiang 7 Wang, Yejuan 7 Webb, Glenn Francis 7 Wu, Fuke 7 Wu, Jianhong 7 Xiao, Dongmei 7 Yuan, Rong 6 Adimy, Mostafa 6 Allaire, Grégoire 6 Cantrell, Robert Stephen 6 Chen, Lansun 6 Feng, Zhaosheng 6 Jüngel, Ansgar 6 Kapustyan, Oleksiy V. 6 Lei, Jinzhi 6 Li, Yangrong 6 Lin, Yanping 6 Marín-Rubio, Pedro 6 Mei, Linfeng 6 Nie, Hua 6 Nolasco de Carvalho, Alexandre 6 Pilyugin, Sergei S. 6 Qiu, Zhipeng 6 Shen, Wenxian 6 Smith, Hal Leslie 6 Sonner, Stefanie 6 Sun, Chunyou 6 Surulescu, Christina 6 Temam, Roger Meyer 6 Wang, Mingxin 6 Wang, Quan 6 Wang, Shouhong 6 Wang, Zhongqing 6 Wu, Jianhua 6 Yang, Meihua 6 Yang, Xiaofeng 6 Yiu, Ka Fai Cedric 6 Zhang, Mingji 5 Amigó, José María 5 Banasiak, Jacek 5 Bensoussan, Alain ...and 4,350 more Authors
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#### Fields

 1,373 Partial differential equations (35-XX) 1,024 Biology and other natural sciences (92-XX) 770 Ordinary differential equations (34-XX) 686 Dynamical systems and ergodic theory (37-XX) 353 Probability theory and stochastic processes (60-XX) 346 Numerical analysis (65-XX) 331 Fluid mechanics (76-XX) 204 Systems theory; control (93-XX) 169 Calculus of variations and optimal control; optimization (49-XX) 132 Mechanics of deformable solids (74-XX) 129 Operator theory (47-XX) 109 Difference and functional equations (39-XX) 89 Statistical mechanics, structure of matter (82-XX) 82 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 79 Integral equations (45-XX) 74 Mechanics of particles and systems (70-XX) 46 Geophysics (86-XX) 46 Operations research, mathematical programming (90-XX) 45 Classical thermodynamics, heat transfer (80-XX) 39 Global analysis, analysis on manifolds (58-XX) 36 General and overarching topics; collections (00-XX) 33 Optics, electromagnetic theory (78-XX) 26 Real functions (26-XX) 24 Statistics (62-XX) 20 Differential geometry (53-XX) 20 Computer science (68-XX) 19 Combinatorics (05-XX) 17 Measure and integration (28-XX) 16 Information and communication theory, circuits (94-XX) 13 Functional analysis (46-XX) 12 Quantum theory (81-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Approximations and expansions (41-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Special functions (33-XX) 8 History and biography (01-XX) 7 Astronomy and astrophysics (85-XX) 6 Functions of a complex variable (30-XX) 6 Potential theory (31-XX) 5 General topology (54-XX) 4 Field theory and polynomials (12-XX) 4 Algebraic geometry (14-XX) 4 Convex and discrete geometry (52-XX) 3 Number theory (11-XX) 3 Abstract harmonic analysis (43-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-XX) 2 Mathematics education (97-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

2,023 Publications have been cited 13,584 times in 10,816 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
Fisher waves in an epidemic model. Zbl 1097.34022
Zhao, Xiao-Qiang; Wang, Wendi
2004
Chemotaxis can prevent thresholds on population density. Zbl 1337.35160
Lankeit, Johannes
2015
Dynamics of a HIV-1 infection model with cell-mediated immune response and intracellular delay. Zbl 1169.92033
Zhu, Huiyan; Zou, Xingfu
2009
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
Modelling and analysis of integrated pest management strategy. Zbl 1114.92074
Tang, Sanyi; Chen, Lansun
2004
Optimal control of vector-borne diseases: Treatment and prevention. Zbl 1162.92034
Blayneh, Kbenesh; Cao, Yanzhao; Kwon, Hee-Dae
2009
Mathematics of traveling waves in chemotaxis. Zbl 1277.35006
Wang, Zhi-An
2013
Wide stencil finite difference schemes for the elliptic Monge-Ampère equation and functions of the eigenvalues of the Hessian. Zbl 1145.65085
2008
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
On a well-posed turbulence model. Zbl 1089.76028
Layton, W.; Lewandowski, R.
2006
Global analysis of age-structured within-host virus model. Zbl 1347.92080
Browne, Cameron J.; Pilyugin, Sergei S.
2013
Pullback attractors for stochastic heat equations in materials with memory. Zbl 1152.60044
Caraballo, T.; Real, J.; Chueshov, I. D.
2008
Bifurcation analysis in a predator-prey model with constant-yield predator harvesting. Zbl 1417.34092
Huang, Jicai; Gong, Yijun; Ruan, Shigui
2013
Pattern formation of the attraction-repulsion Keller-Segel system. Zbl 1277.35048
Liu, Ping; Shi, Junping; Wang, Zhi-An
2013
Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1334.35104
Li, Yuxiang; Zhang, Qingshan
2015
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
Stability in thermoelasticity of type III. Zbl 1118.74012
Quintanilla, Ramon; Racke, Reinhard
2003
Impulsive vaccination of SIR epidemic models with nonlinear incidence rates. Zbl 1100.92040
Hui, Jing; Chen, Lansun
2004
Global classical solutions of a 3D chemotaxis-Stokes system with rotation. Zbl 1322.35061
Cao, Xinru; Wang, Yulan
2015
Infinite propagation speed for a two component Camassa-Holm equation. Zbl 1180.35458
Henry, David
2009
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
A mathematical model of tumor-immune evasion and siRNA treatment. Zbl 1083.37531
Arciero, J. C.; Jackson, T. L.; Kirschner, D. E.
2004
A hierarchy of cancer models and their mathematical challenges. Zbl 1052.35094
Friedman, Avner
2004
Error analysis of stabilized semi-implicit method of Allen-Cahn equation. Zbl 1201.65170
Yang, Xiaofeng
2009
Competitive-exclusion versus competitive-coexistence for systems in the plane. Zbl 1116.37030
Kulenović, M. R. S.; Merino, Orlando
2006
Analysis of a phase field Navier-Stokes vesicle-fluid interaction model. Zbl 1172.74016
Du, Qiang; Li, Manlin; Liu, Chun
2007
Optimal control of ODE systems involving a rate independent variational inequality. Zbl 1260.49002
Brokate, Martin; Krejčí, Pavel
2013
A modified proof of pullback attractors in a Sobolev space for stochastic FitzHugh-Nagumo equations. Zbl 1348.37114
Li, Yangrong; Yin, Jinyan
2016
Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems. Zbl 1377.35158
Winkler, Michael
2017
Global existence for chemotaxis with finite sampling radius. Zbl 1116.92011
Hillen, T.; Painter, K.; Schmeiser, C.
2007
On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models. Zbl 1202.35172
2010
On the time decay of solutions in porous-thermo-elasticity of type II. Zbl 1197.35053
Leseduarte, M. Carme; Magaña, Antonio; Quintanilla, Ramón
2010
Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals. Zbl 1329.35075
Winkler, Michael; Tao, Youshan
2015
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
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
Random attractors for stochastic FitzHugh-Nagumo systems driven by deterministic non-autonomous forcing. Zbl 1264.37046
2013
Global bifurcation for discrete competitive systems in the plane. Zbl 1175.37058
Kulenović, M. R. S.; Merino, Orlando
2009
A model for disease transmission in a patchy environment. Zbl 1088.92050
Salmani, Mahin; van den Driessche, P.
2006
$$Z$$-eigenvalue inclusion theorems for tensors. Zbl 1362.15014
Wang, Gang; Zhou, Guanglu; Caccetta, Louis
2017
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
Efficient time discretization for local discontinuous Galerkin methods. Zbl 1141.65076
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
2007
On the Hunter-Saxton system. Zbl 1176.35028
Wunsch, Marcus
2009
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
Intraspecific interference and consumer-resource dynamics. Zbl 1100.92061
Cantrell, Robert Stephen; Cosner, Chris; Ruan, Shigui
2004
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
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
Spatial structures and generalized travelling waves for an integro-differential equation. Zbl 1191.35041
Apreutesei, Narcisa; Bessonov, Nikolai; Volpert, Vitaly; Vougalter, Vitali
2010
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
Review on computational methods for Lyapunov functions. Zbl 1337.37001
Hafstein, Sigurdur; Giesl, Peter
2015
A direct Lebeau-Robbiano strategy for the observability of heat-like semigroups. Zbl 1219.93017
Miller, Luc
2010
Travelling waves for integro-differential equations in population dynamics. Zbl 1173.35541
Apreutesei, Narcisa; Ducrot, Arnaud; Volpert, Vitaly
2009
Sufficient conditions for stability of linear differential equations with distributed delay. Zbl 0993.34065
Bernard, Samuel; Bélair, Jacques; Mackey, Michael C.
2001
Analysis of a scalar nonlocal peridynamic model with a sign changing kernel. Zbl 1278.45014
2013
Long-time behaviour of a perturbed SIR model by white noise. Zbl 1435.92077
Lin, Yuguo; Jiang, Daqing
2013
Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity. Zbl 1366.35068
Mizukami, Masaaki
2017
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
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
From a class of kinetic models to the macroscopic equations for multicellular systems in biology. Zbl 1044.92021
Bellomo, N.; Bellouquid, A.
2004
Regularity under sharp anisotropic general growth conditions. Zbl 1158.49040
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
2009
Local stability implies global stability in some one-dimensional discrete single-species models. Zbl 1187.39026
Liz, Eduardo
2007
A systematic method for building smooth controls for smooth data. Zbl 1219.93011
Ervedoza, Sylvain; Zuazua, Enrique
2010
Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068
Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz
2013
Kernel sections for processes and nonautonomous lattice systems. Zbl 1149.37040
Zhao, Xiao-Qiang; Zhou, Shengfan
2008
Blow up and propagation speed of solutions to the DGH equation. Zbl 1180.35473
Zhou, Yong; Guo, Zhengguang
2009
A mathematical evolution model for phytoremediation of metals. Zbl 1085.34530
Thomas, Diana M.; Vandemuelebroeke, Lynn; Yamaguchi, Kenneth
2005
The polynomial-preserving recovery for higher order finite element methods in 2D and 3D. Zbl 1078.65108
Naga, A.; Zhang, Z.
2005
Traveling wave solutions for a diffusive SIS epidemic model. Zbl 1282.35118
Ding, Wei; Huang, Wenzhang; Kansakar, Siroj
2013
Global solutions and exponential attractors of a parabolic-parabolic system for chemotaxis with subquadratic degradation. Zbl 1318.37028
Nakaguchi, Etsushi; Osaki, Koichi
2013
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
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
Interaction of diffusion and delay. Zbl 1128.92001
2007
Permanence of predator-prey system with stage structure. Zbl 1100.92062
Cui, Jingan; Song, Xinyu
2004
Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Zbl 1207.92040
Hu, Zhixing; Bi, Ping; Ma, Wanbiao; Ruan, Shigui
2011
Size-structured population dynamics models and their numerical solutions. Zbl 1052.92045
Abia, L. M.; Angulo, O.; López-Marcos, J. C.
2004
Examples of moderate deviation principle for diffusion processes. Zbl 1138.60029
Guillin, A.; Liptser, R.
2006
Existence and multiplicity of homoclinic orbits for second order Hamiltonian systems without $$(AR)$$ condition. Zbl 1216.34033
Wan, Li-Li; Tang, Chun-Lei
2011
Nonisotropic 3-level quantum systems: complete solutions for minimum time and minimum energy. Zbl 1084.81083
Boscain, Ugo; Chambrion, Thomas; Charlot, Grégoire
2005
On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics. Zbl 1302.35372
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan
2014
Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity. Zbl 1282.35189
Tao, Youshan
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
Global stability of a five-dimensional model with immune responses and delay. Zbl 1233.92061
Yan, Yincui; Wang, Wendi
2012
Lack of hyperbolicity in the two-fluid model for two-phase incompressible flow. Zbl 1055.35074
Keyfitz, Barbara Lee; Sanders, Richard; Sever, Michael
2003
Hemivariational inequality for a frictional contact problem in elasto-piezoelectricity. Zbl 1109.74039
Migórski, Stanislaw
2006
A mathematical and numerical analysis of the Maxwell-Stefan diffusion equations. Zbl 1245.35091
Boudin, Laurent; Grec, Bérénice; Salvarani, Francesco
2012
Evolution of mixed dispersal in periodic environments. Zbl 1270.35267
Kao, Chiu-Yen; Lou, Yuan; Shen, Wenxian
2012
A robust well-balanced scheme for multi-layer shallow water equations. Zbl 1308.76060
2010
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
Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity. Zbl 1330.35051
Senba, Takasi; Fujie, Kentarou
2016
Existence of weak solutions for non-local fractional problems via Morse theory. Zbl 1310.35238
Ferrara, Massimiliano; Molica Bisci, Giovanni; Zhang, Binlin
2014
Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. Zbl 1360.35084
Black, Tobias
2017
Relaxation oscillation profile of limit cycle in predator-prey system. Zbl 1176.34049
Hsu, Sze-Bi; Shi, Junping
2009
Structural stability and continuous dependence of solutions of thermoelasticity of type III. Zbl 1010.74016
Quintanilla, Ramon
2001
Stability and weak rotation limit of solitary waves of the Ostrovsky equation. Zbl 1129.35453
Levandovsky, Steve; Liu, Yue
2007
Analysis of a model for the dynamics of prions. Zbl 1088.92043
Prüss, Jan; Pujo-Menjouet, Laurent; Webb, G. F.; Zacher, Rico
2006
Mathematical analysis of a three-tiered food-web in the chemostat. Zbl 07360891
Nouaoura, Sarra; Fekih-Salem, Radhouane; Abdellatif, Nahla; Sari, Tewfik
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 07350006
Ruan, Shigui
2021
Global optimization-based dimer method for finding saddle points. Zbl 07350013
Yu, Bing; Zhang, Lei
2021
Global analysis of a model of competition in the chemostat with internal inhibitor. Zbl 07354170
Dellal, Mohamed; Bar, Bachir
2021
Attractors for Fitzhugh-Nagumo lattice systems with almost periodic nonlinear parts. Zbl 07355160
Boughoufala, Amira M.; Abdallah, Ahmed Y.
2021
Competitive exclusion in phytoplankton communities in a eutrophic water column. Zbl 1466.35240
Cantrell, Robert Stephen; Lam, King-Yeung
2021
Size estimates for the weighted $$p$$-Laplace equation with one measurement. Zbl 1467.35188
Kar, Manas; Wang, Jenn-Nan
2021
On the nearest stable $$2\times 2$$ matrix, dedicated to Prof. Sze-Bi Hsu in appreciation of his inspiring ideas. Zbl 1466.15023
Kuo, Yueh-Cheng; Cheng, Huan-Chang; Syu, Jhih-You; Shieh, Shih-Feng
2021
Variational solutions of stochastic partial differential equations with cylindrical Lévy noise. Zbl 1466.60129
Kosmala, Tomasz; Riedle, Markus
2021
Global well-posedness of a 3D Stokes-magneto equations with fractional magnetic diffusion. Zbl 07360456
Ji, Yingdan; Tan, Wen
2021
Qualitative analysis of a Lotka-Volterra competition-diffusion-advection system. Zbl 1466.92161
Wei, Dan; Guo, Shangjiang
2021
Numerical analysis and simulation of an adhesive contact problem with damage and long memory. Zbl 07360486
Xuan, Hailing; Cheng, Xiaoliang
2021
Wong-zakai approximations and attractors for stochastic wave equations driven by additive noise. Zbl 07360488
Wang, Xiaohu; Li, Dingshi; Shen, Jun
2021
On the generalized Burgers-Huxley equation: existence, uniqueness, regularity, global attractors and numerical studies. Zbl 1466.35251
Mohan, Manil T.; Khan, Arbaz
2021
When do Keller-Segel systems with heterogeneous logistic sources admit generalized solutions? Zbl 07360615
Yan, Jianlu; Fuest, Mario
2021
Upper semi-continuity of attractors for non-autonomous fractional stochastic parabolic equations with delay. Zbl 1466.35052
Chen, Pengyu; Zhang, Xuping
2021
Non-autonomous stochastic evolution equations of parabolic type with nonlocal initial conditions. Zbl 07360949
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
Boundedness and stabilization in a two-species chemotaxis system with two chemicals. Zbl 1426.35133
Wang, Liangchen; Zhang, Jing; Mu, Chunlai; Hu, Xuegang
2020
Traveling waves for nonlocal Lotka-Volterra competition systems. Zbl 1437.35141
Han, Bang-Sheng; Wang, Zhi-Cheng; Du, Zengji
2020
Dynamics of a diffusive Leslie-Gower predator-prey model in spatially heterogeneous environment. Zbl 1453.92281
Zou, Rong; Guo, Shangjiang
2020
Qualitative analysis on an SIS epidemic reaction-diffusion model with mass action infection mechanism and spontaneous infection in a heterogeneous environment. Zbl 1425.92188
Lei, Chengxia; Xiong, Jie; Zhou, Xinhui
2020
Point vortices for inviscid generalized surface quasi-geostrophic models. Zbl 1434.76021
Geldhauser, Carina; Romito, Marco
2020
Asymptotic properties of a stochastic chemostat model with two distributed delays and nonlinear perturbation. Zbl 1443.34093
Yu, Xingwang; Yuan, Sanling
2020
A hybrid model of collective motion of discrete particles under alignment and continuum chemotaxis. Zbl 1442.45004
Costanzo, Ezio Di; Menci, Marta; Messina, Eleonora; Natalini, Roberto; Vecchio, Antonia
2020
Random dynamics of lattice wave equations driven by infinite-dimensional nonlinear noise. Zbl 1443.37060
Wang, Renhai; Wang, Bixiang
2020
Influence of mutations in phenotypically-structured populations in time periodic environment. Zbl 1445.35022
2020
Well-posedness results for fractional semi-linear wave equations. Zbl 1443.35100
Djida, Jean-Daniel; Fernandez, Arran; Area, Iván
2020
Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem. Zbl 1432.37045
Gasull, Armengol; Mañosa, Víctor
2020
Uniform stabilization of Boussinesq systems in critical $$\mathbf{L}^q$$-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls. Zbl 1452.35229
Lasiecka, Irena; Priyasad, Buddhika; Triggiani, Roberto
2020
Spatial spread of epidemic diseases in geographical settings: seasonal influenza epidemics in Puerto Rico. Zbl 1433.92060
Magal, Pierre; Webb, Glenn F.; Wu, Yixiang
2020
Stability for one-dimensional discrete dynamical systems revisited. Zbl 1432.37040
Franco, Daniel; Perán, Juan; Segura, Juan
2020
Schrödinger type operators on local generalized Morrey spaces related to certain nonnegative potentials. Zbl 1428.42020
Guliyev, Vagif S.; Guliyev, Ramin V.; Omarova, Mehriban N.; Ragusa, Maria Alessandra
2020
Spreading speed of a degenerate and cooperative epidemic model with free boundaries. Zbl 1428.35175
Zhao, Meng; Li, Wan-Tong; Ni, Wenjie
2020
Convergence of $$p$$-th mean in an averaging principle for stochastic partial differential equations driven by fractional Brownian motion. Zbl 1428.60056
Pei, Bin; Xu, Yong; Bai, Yuzhen
2020
Attractors for first order lattice systems with almost periodic nonlinear part. Zbl 1432.37053
Abdallah, Ahmed Y.
2020
A new result for boundedness and stabilization in a two-species chemotaxis system with two chemicals. Zbl 1465.35064
Wang, Liangchen; Mu, Chunlai
2020
Singular perturbations and scaling. Zbl 1428.92134
Lax, Christian; Walcher, Sebastian
2020
Stochastic partial differential equation models for spatially dependent predator-prey equations. Zbl 1433.60060
Nguyen, Nhu N.; Yin, George
2020
Krylov implicit integration factor method for a class of stiff reaction-diffusion systems with moving boundaries. Zbl 1427.65172
Liu, Shuang; Liu, Xinfeng
2020
Analytical formula and dynamic profile of mRNA distribution. Zbl 1429.92067
Jiao, Feng; Ren, Jian; Yu, Jianshe
2020
Analysis of time-domain Maxwell’s equations in biperiodic structures. Zbl 1427.78007
Bao, Gang; Hu, Bin; Li, Peijun; Wang, Jue
2020
Exact controllability of the linear Zakharov-Kuznetsov equation. Zbl 1454.37073
Chen, Mo; Rosier, Lionel
2020
The operating diagram for a model of competition in a chemostat with an external lethal inhibitor. Zbl 1437.34055
Bar, Bachir; Sari, Tewfik
2020
Spreading speeds of rabies with territorial and diffusing rabid foxes. Zbl 1433.92048
Alanazi, Khalaf M.; Jackiewicz, Zdzislaw; Thieme, Horst R.
2020
Stability and bifurcation analysis of Filippov food chain system with food chain control strategy. Zbl 1441.34057
Hamdallah, Soliman A. A.; Tang, Sanyi
2020
Stability analysis of traveling wave solutions for lattice reaction-diffusion equations. Zbl 1443.34018
Hsu, Cheng-Hsiung; Lin, Jian-Jhong
2020
Bifurcations, ultimate boundedness and singular orbits in a unified hyperchaotic Lorenz-type system. Zbl 07195106
Wang, Haijun; Zhang, Fumin
2020
Complicated dynamics of tumor-immune system interaction model with distributed time delay. Zbl 1443.92083
Yu, Min; Huang, Gang; Dong, Yueping; Takeuchi, Yasuhiro
2020
Asymptotic behavior of a nonlinear necrotic tumor model with a periodic external nutrient supply. Zbl 1442.35483
Wu, Junde; Xu, Shihe
2020
Probabilistic continuity of a pullback random attractor in time-sample. Zbl 1445.37055
Wang, Shulin; Li, Yangrong
2020
Global solutions and random dynamical systems for rough evolution equations. Zbl 1434.60156
Hesse, Robert; Neamţu, Alexandra
2020
Exit problem for Ornstein-Uhlenbeck processes: a random walk approach. Zbl 07208021
Herrmann, Samuel; Massin, Nicolas
2020
Random attractor for stochastic Hindmarsh-Rose equations with multiplicative noise. Zbl 1448.35588
Phan, Chi
2020
On the optimization problems of the principal eigenvalues of measure differential equations with indefinite measures. Zbl 1445.34005
Wen, Zhiyuan; Zhang, Meirong
2020
Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence. Zbl 1443.45008
Infante, Gennaro
2020
On an optimal control problem of time-fractional advection-diffusion equation. Zbl 1428.35672
Tang, Qing
2020
Almost automorphic functions on semigroups induced by complete-closed time scales and application to dynamic equations. Zbl 1431.34100
Wang, Chao; Agarwal, Ravi P.
2020
Derivation of cable equation by multiscale analysis for a model of myelinated axons. Zbl 1437.35042
Jerez-Hanckes, Carlos; Pettersson, Irina; Rybalko, Volodymyr
2020
Complete dynamical analysis for a nonlinear HTLV-I infection model with distributed delay, CTL response and immune impairment. Zbl 1431.92143
Wang, Lianwen; Liu, Zhijun; Li, Yong; Xu, Dashun
2020
The global attractor for a class of extensible beams with nonlocal weak damping. Zbl 1437.35104
Zhao, Chunxiang; Zhao, Chunyan; Zhong, Chengkui
2020
Homoclinic orbits and chaos in the generalized Lorenz system. Zbl 1450.34029
Yang, Ting
2020
Global asymptotic stability of nonconvex sweeping processes. Zbl 1440.34019
Wadippuli, Lakmi Niwanthi; Gudoshnikov, Ivan; Makarenkov, Oleg
2020
Global stability of the predator-prey model with a Sigmoid functional response. Zbl 1431.37072
Wu, Yinshu; Huang, Wenzhang
2020
A delayed differential equation model for mosquito population suppression with sterile mosquitoes. Zbl 07349937
Hui, Yuanxian; Lin, Genghong; Yu, Jianshe; Li, Jia
2020
Global mass-preserving solutions for a two-dimensional chemotaxis system with rotational flux components coupled with a full Navier-Stokes equation. Zbl 1465.35107
Heihoff, Frederic
2020
Numerical investigation of ensemble methods with block iterative solvers for evolution problems. Zbl 07349949
Ju, Lili; Leng, Wei; Wang, Zhu; Yuan, Shuai
2020
Pullback exponential attractors for the three dimensional non-autonomous Navier-Stokes equations with nonlinear damping. Zbl 1428.35050
Li, Fang; You, Bo
2020
Error analysis of discontinuous Galerkin method for the time fractional KdV equation with weak singularity solution. Zbl 1427.65235
An, Na; Huang, Chaobao; Yu, Xijun
2020
Multi-scale analysis for highly anisotropic parabolic problems. Zbl 1425.35071
Blanc, Thomas; Bostan, Mihaï
2020
A nonlinear fourth-order PDE for multi-frame image super-resolution enhancement. Zbl 07140193
Laghrib, Amine; Chakib, Abdelkrim; Hadri, Aissam; Hakim, Abdelilah
2020
Existence and asymptotic results for an intrinsic model of small-strain incompatible elasticity. Zbl 1454.35121
Amstutz, Samuel; Van Goethem, Nicolas
2020
Generalized solutions to models of inviscid fluids. Zbl 1452.35136
Breit, Dominic; Feireisl, Eduard; Hofmanová, Martina
2020
Asymptotic behavior of solutions of a nonlinear degenerate chemotaxis model. Zbl 1454.35393
Chamoun, Georges; Ibrahim, Moustafa; Saad, Mazen; Talhouk, Raafat
2020
On global large energy solutions to the viscous shallow water equations. Zbl 1451.35145
Zhai, Xiaoping; Ye, Hailong
2020
Global strong solution to the two dimensional nonhomogeneous incompressible heat conducting Navier-Stokes flows with vacuum. Zbl 1451.35144
Wang, Yongfu
2020
Wong-Zakai approximations and asymptotic behavior of stochastic Ginzburg-Landau equations. Zbl 1457.37098
Ma, Dandan; Shu, Ji; Qin, Ling
2020
Large time behavior in a predator-prey system with indirect pursuit-evasion interaction. Zbl 1453.92250
Li, Genglin; Tao, Youshan; Winkler, Michael
2020
A two-group age of infection epidemic model with periodic behavioral changes. Zbl 1437.92117
Diagne, Mamadou L.; Seydi, Ousmane; Sy, Aissata A. B.
2020
Slow convergence to equilibrium for an evolutionary epidemiology integro-differential system. Zbl 1436.35041
Burie, Jean-Baptiste; Djidjou-Demasse, Ramsès; Ducrot, Arnaud
2020
Global dynamics of an age-structured model with relapse. Zbl 1439.35489
Frioui, Mohammed Nor; Touaoula, Tarik Mohammed; Ainseba, Bedreddine
2020
Functional differential equation with infinite delay in a space of exponentially bounded and uniformly continuous functions. Zbl 1443.34082
Liu, Zhihua; Magal, Pierre
2020
A nonlinear Stefan problem with variable exponent and different moving parameters. Zbl 1442.35559
Li, Huiling; Wang, Xiaoliu; Lu, Xueyan
2020
A gradient-type algorithm for constrained optimization with application to microstructure optimization. Zbl 07195103
Barbarosie, Cristian; Toader, Anca-Maria; Lopes, Sérgio
2020
On the limit cycles of a class of discontinuous piecewise linear differential systems. Zbl 1441.34028
Llibre, Jaume; Menezes, Lucyjane de A. S.
2020
Analysis of a diffusive SIS epidemic model with spontaneous infection and a linear source in spatially heterogeneous environment. Zbl 1446.35057
Zhu, Siyao; Wang, Jinliang
2020
Dynamical analysis of a diffusive SIRS model with general incidence rate. Zbl 1443.37064
Yang, Yu; Zou, Lan; Zhang, Tonghua; Xu, Yancong
2020
Dynamics of positive steady-state solutions of a nonlocal dispersal logistic model with nonlocal terms. Zbl 1445.35218
Ma, Li; Luo, Youquan
2020
On the stability and transition of the Cahn-Hilliard/Allen-Cahn system. Zbl 1441.35063
Wang, Quan; Yan, Dongming
2020
Pattern formation in a predator-mediated coexistence model with prey-taxis. Zbl 07208008
2020
Modelling the evolutionary dynamics of host resistance-related traits in a susceptible-infected community with density-dependent mortality. Zbl 1444.92073
Zu, Jian; Li, Miaolei; Gu, Yuexi; Fu, Shuting
2020
On a non-linear size-structured population model. Zbl 1440.35332
Lv, Yunfei; Pei, Yongzhen; Yuan, Rong
2020
Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay. Zbl 1443.60064
Mao, Wei; Hu, Liangjian; Mao, Xuerong
2020
Geometric method for global stability of discrete population models. Zbl 1448.37120
Hou, Zhanyuan
2020
Global existence and asymptotic behavior of solutions to a chemotaxis system with chemicals and prey-predator terms. Zbl 1448.92037
Negreanu, Mihaela
2020
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization. Zbl 1439.35244
Liu, Ling; Zheng, Jiashan; Bao, Gui
2020
Dynamic analysis and optimal control of a three-age-class HIV/AIDS epidemic model in China. Zbl 1448.92366
Zhao, Hongyong; Wu, Peng; Ruan, Shigui
2020
Assignability of dichotomy spectra for discrete time-varying linear control systems. Zbl 1447.93014
Cuong, Le Viet; Doan, Thai Son
2020
Stability of delay differential equations with fading stochastic perturbations of the type of white noise and Poisson’s jumps. Zbl 1458.34139
Shaikhet, Leonid
2020
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#### Cited by 11,927 Authors

 72 Li, Wan-Tong 49 Ruan, Shigui 48 Mu, Chunlai 46 Winkler, Michael 45 Quintanilla de Latorre, Ramón 45 Wang, Bixiang 42 Caraballo Garrido, Tomás 39 Chen, Lansun 39 Yang, Xiaofeng 37 Li, Yangrong 35 Kloeden, Peter Eris 35 Kulenović, Mustafa R. S. 34 Carrillo de la Plata, José Antonio 34 Du, Qiang 34 Yuan, Rong 34 Zhao, Xiao-Qiang 33 Teng, Zhi-dong 32 Wang, Zhi Cheng 30 Shi, Junping 30 Tang, Sanyi 29 Chung, Tsz Shun Eric 29 Volpert, Vitaly A. 29 Wang, Zhian 28 Llibre, Jaume 27 Jiang, Daqing 27 Wang, Mingxin 27 Wu, Shiliang 26 Guo, Shangjiang 26 Shen, Wenxian 26 Valero, José 25 Bellomo, Nicola 25 Feng, Zhaosheng 25 Garrido-Atienza, María José 25 Kuniya, Toshikazu 25 Perthame, Benoît 24 Gao, Hongjun 24 Mao, Xuerong 24 Mireles-James, Jason D. 24 Wang, Jinliang 23 Huang, Jianhua 23 Lin, Zhigui 23 Miranville, Alain M. 23 Wang, Weiming 23 Zhou, Shengfan 22 Efendiev, Yalchin R. 22 Gardini, Laura 22 Liu, Shengqiang 22 Yu, Zhixian 22 Yuan, Sanling 22 Zheng, Pan 21 Chen, Yuming 21 Giesl, Peter 21 Kuang, Yang 21 Lin, Guo 21 Song, Xinyu 21 Wang, Renhai 21 Zhang, Tonghua 20 Hsu, Cheng-Hsiung 20 Lou, Yuan 20 Ma, Wanbiao 20 Ren, Yong 20 Wang, Xia 20 Zou, Xingfu 19 Ackleh, Azmy S. 19 Gu, Anhui 19 Hafstein, Sigurður Freyr 19 He, Xiaoming 19 Meng, Xinzhu 19 Schmalfuß, Björn 19 Tao, Youshan 19 Wei, Junjie 19 Weng, Peixuan 19 Zhao, Caidi 18 Huo, Hai-Feng 18 Kang, Yun 18 Ledzewicz, Urszula 18 Migórski, Stanisław 18 Temam, Roger Meyer 18 Wang, Feng-Bin 18 Wang, Wendi 18 Webb, Glenn Francis 18 Wu, YiXiang 18 Zhao, Weidong 17 Adimy, Mostafa 17 Guo, Jong-Shenq 17 He, Yinnian 17 Huang, Jicai 17 Jang, Sophia R.-J. 17 Liu, Qun 17 Muroya, Yoshiaki 17 Nakata, Yukihiko 17 Schättler, Heinz Michael 17 Simó, Carles 17 Sun, Chunyou 17 Thieme, Horst R. 17 Yang, Yu 17 Zheng, Sining 16 Banerjee, Malay 16 Cai, Liming 16 Coclite, Giuseppe Maria ...and 11,827 more Authors
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#### Cited in 593 Journals

 527 Discrete and Continuous Dynamical Systems. Series B 482 Journal of Differential Equations 451 Journal of Mathematical Analysis and Applications 285 Nonlinear Analysis. Real World Applications 274 Applied Mathematics and Computation 212 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 196 Discrete and Continuous Dynamical Systems 181 Journal of Mathematical Biology 179 Journal of Computational and Applied Mathematics 171 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 151 Computers & Mathematics with Applications 145 Mathematical Biosciences and Engineering 141 Bulletin of Mathematical Biology 139 ZAMP. Zeitschrift für angewandte Mathematik und Physik 133 Journal of Theoretical Biology 130 Physica D 128 Journal of Computational Physics 127 Advances in Difference Equations 123 Journal of Scientific Computing 120 Journal of Mathematical Physics 118 Communications on Pure and Applied Analysis 113 Mathematical Biosciences 112 Journal of Dynamics and Differential Equations 105 Mathematical Methods in the Applied Sciences 103 Applicable Analysis 99 Applied Mathematics Letters 97 Abstract and Applied Analysis 97 International Journal of Biomathematics 96 Journal of Difference Equations and Applications 95 Communications in Nonlinear Science and Numerical Simulation 95 Journal of Biological Dynamics 94 Chaos, Solitons and Fractals 93 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 93 Discrete Dynamics in Nature and Society 92 Nonlinearity 91 SIAM Journal on Mathematical Analysis 86 Discrete and Continuous Dynamical Systems. Series S 82 Nonlinear Dynamics 77 Journal of Nonlinear Science 76 Applied Numerical Mathematics 72 Chaos 71 SIAM Journal on Applied Dynamical Systems 67 SIAM Journal on Control and Optimization 67 Applied Mathematical Modelling 66 SIAM Journal on Applied Mathematics 63 Archive for Rational Mechanics and Analysis 62 Acta Applicandae Mathematicae 55 Complexity 54 Mathematical and Computer Modelling 54 Calculus of Variations and Partial Differential Equations 51 Journal of Evolution Equations 50 Computer Methods in Applied Mechanics and Engineering 50 Automatica 48 Celestial Mechanics and Dynamical Astronomy 48 Journal of Mathematical Fluid Mechanics 48 Mathematical Modelling of Natural Phenomena 47 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 45 Qualitative Theory of Dynamical Systems 42 Journal of the Franklin Institute 42 Mathematical Problems in Engineering 42 Journal of Applied Analysis and Computation 41 Journal de Mathématiques Pures et Appliquées. Neuvième Série 41 Boundary Value Problems 39 Communications in Mathematical Physics 38 Stochastics and Dynamics 37 Mathematics of Computation 37 Proceedings of the American Mathematical Society 37 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 37 NoDEA. Nonlinear Differential Equations and Applications 36 Journal of Statistical Physics 36 SIAM Journal on Numerical Analysis 35 Mathematics and Computers in Simulation 34 SIAM Journal on Scientific Computing 34 Journal of Applied Mathematics and Computing 33 Journal of Optimization Theory and Applications 32 Applied Mathematics and Optimization 32 Numerical Algorithms 32 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 32 Science China. Mathematics 31 Computational and Applied Mathematics 31 Comptes Rendus. Mathématique. Académie des Sciences, Paris 31 Multiscale Modeling & Simulation 30 Journal of Functional Analysis 30 Stochastic Processes and their Applications 29 Transactions of the American Mathematical Society 28 Communications in Partial Differential Equations 28 Journal of Applied Mathematics 27 Stochastic Analysis and Applications 26 Numerische Mathematik 26 Chinese Annals of Mathematics. Series B 26 Numerical Methods for Partial Differential Equations 26 European Journal of Applied Mathematics 26 Regular and Chaotic Dynamics 26 Kinetic and Related Models 26 Mathematical Control and Related Fields 26 Evolution Equations and Control Theory 25 Electronic Journal of Differential Equations (EJDE) 25 Nonlinear Analysis. Hybrid Systems 24 Quarterly of Applied Mathematics 24 Journal of Biological Systems ...and 493 more Journals
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#### Cited in 60 Fields

 5,187 Partial differential equations (35-XX) 3,985 Biology and other natural sciences (92-XX) 2,185 Ordinary differential equations (34-XX) 1,727 Dynamical systems and ergodic theory (37-XX) 1,539 Numerical analysis (65-XX) 1,320 Fluid mechanics (76-XX) 973 Probability theory and stochastic processes (60-XX) 761 Systems theory; control (93-XX) 649 Calculus of variations and optimal control; optimization (49-XX) 538 Mechanics of deformable solids (74-XX) 405 Operator theory (47-XX) 351 Difference and functional equations (39-XX) 311 Statistical mechanics, structure of matter (82-XX) 277 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 271 Mechanics of particles and systems (70-XX) 239 Integral equations (45-XX) 188 Operations research, mathematical programming (90-XX) 132 Geophysics (86-XX) 128 Real functions (26-XX) 122 Classical thermodynamics, heat transfer (80-XX) 103 Global analysis, analysis on manifolds (58-XX) 89 Optics, electromagnetic theory (78-XX) 82 Computer science (68-XX) 76 Quantum theory (81-XX) 73 Functional analysis (46-XX) 64 Statistics (62-XX) 60 Differential geometry (53-XX) 59 Linear and multilinear algebra; matrix theory (15-XX) 47 Information and communication theory, circuits (94-XX) 41 Combinatorics (05-XX) 38 Special functions (33-XX) 36 Approximations and expansions (41-XX) 34 Measure and integration (28-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 26 General topology (54-XX) 22 Functions of a complex variable (30-XX) 17 Integral transforms, operational calculus (44-XX) 14 Potential theory (31-XX) 13 General and overarching topics; collections (00-XX) 11 History and biography (01-XX) 11 Astronomy and astrophysics (85-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Topological groups, Lie groups (22-XX) 9 Relativity and gravitational theory (83-XX) 8 Mathematics education (97-XX) 6 Field theory and polynomials (12-XX) 6 Convex and discrete geometry (52-XX) 5 Number theory (11-XX) 5 Manifolds and cell complexes (57-XX) 4 Group theory and generalizations (20-XX) 3 Mathematical logic and foundations (03-XX) 3 Algebraic geometry (14-XX) 3 Algebraic topology (55-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Abstract harmonic analysis (43-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Geometry (51-XX)