Discrete and Continuous Dynamical Systems. Series BA 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: Journal; Indexed cover-to-cover Documents Indexed: 3,800 Publications (since 2001) References Indexed: 2,421 Publications with 78,985 References. all top 5 Latest Issues 30, No. 3 (2025) 30, No. 2 (2025) 30, No. 1 (2025) 29, No. 12 (2024) 29, No. 11 (2024) 29, No. 10 (2024) 29, No. 9 (2024) 29, No. 8 (2024) 29, No. 7 (2024) 29, No. 6 (2024) 29, No. 5 (2024) 29, No. 4 (2024) 29, No. 3 (2024) 29, No. 2 (2024) 29, No. 1 (2024) 28, No. 12 (2023) 28, No. 11 (2023) 28, No. 10 (2023) 28, No. 9 (2023) 28, No. 8 (2023) 28, No. 7 (2023) 28, No. 6 (2023) 28, No. 5 (2023) 28, No. 4 (2023) 28, No. 3 (2023) 28, No. 2 (2023) 28, No. 1 (2023) 27, No. 12 (2022) 27, No. 11 (2022) 27, No. 10 (2022) 27, No. 9 (2022) 27, No. 8 (2022) 27, No. 7 (2022) 27, No. 6 (2022) 27, No. 5 (2022) 27, No. 4 (2022) 27, No. 3 (2022) 27, No. 2 (2022) 27, No. 1 (2022) 26, No. 12 (2021) 26, No. 11 (2021) 26, No. 10 (2021) 26, No. 9 (2021) 26, No. 8 (2021) 26, No. 7 (2021) 26, No. 6 (2021) 26, No. 5 (2021) 26, No. 4 (2021) 26, No. 3 (2021) 26, No. 2 (2021) 26, No. 1 (2021) 25, No. 12 (2020) 25, No. 11 (2020) 25, No. 10 (2020) 25, No. 9 (2020) 25, No. 8 (2020) 25, No. 7 (2020) 25, No. 6 (2020) 25, No. 5 (2020) 25, No. 4 (2020) 25, No. 3 (2020) 25, No. 2 (2020) 25, No. 1 (2020) 24, No. 12 (2019) 24, No. 11 (2019) 24, No. 10 (2019) 24, No. 9 (2019) 24, No. 8 (2019) 24, No. 7 (2019) 24, No. 6 (2019) 24, No. 5 (2019) 24, No. 4 (2019) 24, No. 3 (2019) 24, No. 2 (2019) 24, No. 1 (2019) 23, No. 10 (2018) 23, No. 9 (2018) 23, No. 8 (2018) 23, No. 7 (2018) 23, No. 6 (2018) 23, No. 5 (2018) 23, No. 4 (2018) 23, No. 3 (2018) 23, No. 2 (2018) 23, No. 1 (2018) 22, No. 10 (2017) 22, No. 9 (2017) 22, No. 8 (2017) 22, No. 7 (2017) 22, No. 6 (2017) 22, No. 5 (2017) 22, No. 4 (2017) 22, No. 3 (2017) 22, No. 2 (2017) 22, No. 1 (2017) 21, No. 10 (2016) 21, No. 9 (2016) 21, No. 8 (2016) 21, No. 7 (2016) 21, No. 6 (2016) ...and 105 more Volumes all top 5 Authors 31 Caraballo Garrido, Tomás 24 Llibre, Jaume 21 Li, Wan-Tong 19 Ruan, Shigui 17 Giesl, Peter 17 Kloeden, Peter Eris 16 Huang, Jianhua 15 Hsu, Szebi 15 Ledzewicz, Urszula 14 Guo, Shangjiang 13 Liu, Jianguo 13 Mao, Xuerong 13 Mu, Chunlai 13 Wang, Feng-Bin 12 He, Yinnian 12 Kuang, Yang 12 Li, Yong 12 Schättler, Heinz Michael 12 Valero, José 12 Zhang, Zhimin 12 Zhong, Chengkui 11 Ha, Seung-Yeal 11 Hafstein, Sigurður Freyr 11 Lin, Zhigui 11 Wang, Bixiang 11 Wang, Yejuan 10 Gao, Hongjun 10 Guo, Boling 10 Lou, Yuan 10 Nie, Qing 10 Shi, Junping 10 Wang, Jinliang 10 Zhao, Xiao-Qiang 9 Duan, Jinqiao 9 Garrido-Atienza, María José 9 Hu, Bei 9 Lenhart, Suzanne M. 9 Li, Yangrong 9 Ma, Wanbiao 9 Schmalfuß, Björn 9 Siegmund, Stefan 9 Thieme, Horst R. 9 Wang, Mingxin 9 Wang, Zhicheng 9 Wang, Zhian 9 Wu, Jianhong 9 Yuan, Rong 9 Zhang, Mingji 9 Zhong, Xin 9 Zou, Xingfu 8 Friedman, Avner 8 Huang, Lihong 8 Kolokolnikov, Theodore 8 Krejčí, Pavel 8 Magal, Pierre 8 Qiu, Zhipeng 8 Simó, Carles 8 Valls Anglés, Cláudia 8 Wang, Hao 8 Wang, Qi 8 Wang, Wendi 8 Wang, Zhongqing 8 Wei, Junjie 8 Wu, Fuke 8 Xiao, Dongmei 8 You, Bo 8 Yu, Jian-She 8 Zhang, Weinian 7 Adimy, Mostafa 7 Chen, Yuming 7 Du, Qiang 7 Feng, Zhaosheng 7 Han, Xiaoying 7 Huang, Jicai 7 Jentzen, Arnulf 7 Langa, Jose’ Antonio 7 Li, Bingtuan 7 Li, Dingshi 7 Li, Ji 7 Lin, Guo 7 Liu, Shengqiang 7 Ma, Qiaozhen 7 Ma, Tian 7 Mei, Linfeng 7 Migórski, Stanisław 7 Nie, Hua 7 Nolasco de Carvalho, Alexandre 7 Rachinskii, Dmitrii I. 7 Schmeidel, Ewa L. 7 Sun, Chunyou 7 Tachim Medjo, Theodore 7 Takeuchi, Yasuhiro 7 Teng, Zhi-dong 7 Tung, Ka Kit 7 Wang, Quan 7 Webb, Glenn Francis 7 Wu, Jianhua 7 Xie, Yongqin 7 Yin, Jingxue 7 Zhang, Xuping ...and 5,657 more Authors all top 5 Fields 1,924 Partial differential equations (35-XX) 1,379 Biology and other natural sciences (92-XX) 988 Ordinary differential equations (34-XX) 888 Dynamical systems and ergodic theory (37-XX) 455 Probability theory and stochastic processes (60-XX) 443 Fluid mechanics (76-XX) 434 Numerical analysis (65-XX) 252 Systems theory; 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matrix theory (15-XX) 11 Special functions (33-XX) 8 History and biography (01-XX) 8 Functions of a complex variable (30-XX) 8 Potential theory (31-XX) 7 General topology (54-XX) 7 Astronomy and astrophysics (85-XX) 5 Field theory and polynomials (12-XX) 5 Algebraic geometry (14-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) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-XX) 2 Mathematics education (97-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,956 Publications have been cited 25,948 times in 19,701 Documents Cited by ▼ Year ▼ Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation. Zbl 0997.76023 Gerbeau, J.-F.; Perthame, B. 162 2001 The diffusive competition model with a free boundary: invasion of a superior or inferior competitor. Zbl 1310.35245 Du, Yihong; Lin, Zhigui 133 2014 Optimal control of treatments in a two-strain tuberculosis model. Zbl 1005.92018 Jung, E.; Lenhart, S.; Feng, Z. 126 2002 Chemotaxis can prevent thresholds on population density. Zbl 1337.35160 Lankeit, Johannes 110 2015 Fisher waves in an epidemic model. Zbl 1097.34022 Zhao, Xiao-Qiang; Wang, Wendi 107 2004 Mathematics of traveling waves in chemotaxis. Zbl 1277.35006 Wang, Zhi-An 106 2013 Bifurcation analysis in a predator-prey model with constant-yield predator harvesting. Zbl 1417.34092 Huang, Jicai; Gong, Yijun; Ruan, Shigui 101 2013 Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1334.35104 Li, Yuxiang; Zhang, Qingshan 99 2015 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 97 2010 Analysis of upscaling absolute permeability. Zbl 1162.65327 Wu, X. H.; Efendiev, Y.; Hou, T. Y. 96 2002 Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals. Zbl 1329.35075 Winkler, Michael; Tao, Youshan 92 2015 Pattern formation of the attraction-repulsion Keller-Segel system. Zbl 1277.35048 Liu, Ping; Shi, Junping; Wang, Zhi-An 90 2013 Dynamics of a HIV-1 infection model with cell-mediated immune response and intracellular delay. Zbl 1169.92033 Zhu, Huiyan; Zou, Xingfu 88 2009 Optimal control of vector-borne diseases: Treatment and prevention. Zbl 1162.92034 Blayneh, Kbenesh; Cao, Yanzhao; Kwon, Hee-Dae 82 2009 Error analysis of stabilized semi-implicit method of Allen-Cahn equation. Zbl 1201.65170 Yang, Xiaofeng 79 2009 Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity. Zbl 1366.35068 Mizukami, Masaaki 79 2017 Wide stencil finite difference schemes for the elliptic Monge-Ampère equation and functions of the eigenvalues of the Hessian. Zbl 1145.65085 Oberman, Adam M. 78 2008 Well-posedness and numerical algorithm for the tempered fractional differential equations. Zbl 1414.34005 Li, Can; Deng, Weihua; Zhao, Lijing 75 2019 Modelling and analysis of integrated pest management strategy. Zbl 1114.92074 Tang, Sanyi; Chen, Lansun 74 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 74 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 71 2014 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. 69 2006 Global classical solutions of a 3D chemotaxis-Stokes system with rotation. Zbl 1322.35061 Cao, Xinru; Wang, Yulan 69 2015 Global analysis of age-structured within-host virus model. Zbl 1347.92080 Browne, Cameron J.; Pilyugin, Sergei S. 69 2013 Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems. Zbl 1377.35158 Winkler, Michael 67 2017 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. 67 2019 On a well-posed turbulence model. Zbl 1089.76028 Layton, W.; Lewandowski, R. 65 2006 Stability in thermoelasticity of type III. Zbl 1118.74012 Quintanilla, Ramon; Racke, Reinhard 65 2003 A mathematical model of tumor-immune evasion and siRNA treatment. Zbl 1083.37531 Arciero, J. C.; Jackson, T. L.; Kirschner, D. E. 64 2004 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. 64 2014 Optimal control of ODE systems involving a rate independent variational inequality. Zbl 1260.49002 Brokate, Martin; Krejčí, Pavel 64 2013 \(Z\)-eigenvalue inclusion theorems for tensors. Zbl 1362.15014 Wang, Gang; Zhou, Guanglu; Caccetta, Louis 63 2017 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 63 2013 A direct Lebeau-Robbiano strategy for the observability of heat-like semigroups. Zbl 1219.93017 Miller, Luc 63 2010 Asymptotic behavior of random FitzHugh-Nagumo systems driven by colored noise. Zbl 1396.35078 Gu, Anhui; Wang, Bixiang 63 2018 Pullback attractors for stochastic heat equations in materials with memory. Zbl 1152.60044 Caraballo, T.; Real, J.; Chueshov, I. D. 62 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 62 2010 A modified proof of pullback attractors in a Sobolev space for stochastic FitzHugh-Nagumo equations. Zbl 1348.37114 Li, Yangrong; Yin, Jinyan 62 2016 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 61 2010 A hierarchy of cancer models and their mathematical challenges. Zbl 1052.35094 Friedman, Avner 59 2004 On the time decay of solutions in porous-thermo-elasticity of type II. Zbl 1197.35053 Leseduarte, M. Carme; Magaña, Antonio; Quintanilla, Ramón 59 2010 On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models. Zbl 1202.35172 Larios, Adam; Titi, Edriss S. 58 2010 Environmental variability and mean-reverting processes. Zbl 1347.60066 Allen, Edward 58 2016 Analysis of a phase field Navier-Stokes vesicle-fluid interaction model. Zbl 1172.74016 Du, Qiang; Li, Manlin; Liu, Chun 57 2007 Review on computational methods for Lyapunov functions. Zbl 1337.37001 Hafstein, Sigurdur; Giesl, Peter 56 2015 Analysis of a scalar nonlocal peridynamic model with a sign changing kernel. Zbl 1278.45014 Mengesha, Tadele; Du, Qiang 56 2013 Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. Zbl 1360.35084 Black, Tobias 55 2017 Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity. Zbl 1330.35051 Senba, Takasi; Fujie, Kentarou 54 2016 Second-sound phenomena in inviscid, thermally relaxing gases. Zbl 1302.76095 Jordan, Pedro M. 53 2014 Impulsive vaccination of SIR epidemic models with nonlinear incidence rates. Zbl 1100.92040 Hui, Jing; Chen, Lansun 52 2004 Efficient time discretization for local discontinuous Galerkin methods. Zbl 1141.65076 Xia, Yinhua; Xu, Yan; Shu, Chi-Wang 52 2007 Mean field games with nonlinear mobilities in pedestrian dynamics. Zbl 1304.49008 Burger, Martin; Di Francesco, Marco; Markowich, Peter A.; Wolfram, Marie-Therese 52 2014 Blow-up in finite or infinite time for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type. Zbl 1277.35071 Ishida, Sachiko; Yokota, Tomomi 51 2013 Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity. Zbl 1370.35052 Cao, Xinru 51 2017 Infinite propagation speed for a two component Camassa-Holm equation. Zbl 1180.35458 Henry, David 50 2009 Existence and uniqueness of solutions of free boundary problems in heterogeneous environments. Zbl 1404.35230 Wang, Mingxin 50 2019 Invariant measures and statistical solutions of the globally modified Navier-Stokes equations. Zbl 1187.35152 Caraballo, Tomás; Kloeden, Peter E.; Real, José 49 2008 Random attractors for stochastic FitzHugh-Nagumo systems driven by deterministic non-autonomous forcing. Zbl 1264.37046 Adili, Abiti; Wang, Bixiang 49 2013 Long-time behaviour of a perturbed SIR model by white noise. Zbl 1435.92077 Lin, Yuguo; Jiang, Daqing 49 2013 Variational proof for hard discrete breathers in some classes of Hamiltonian dynamical systems. Zbl 1092.37523 Aubry, S.; Kopidakis, G.; Kadelburg, V. 48 2001 A model for disease transmission in a patchy environment. Zbl 1088.92050 Salmani, Mahin; van den Driessche, P. 48 2006 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. 48 2013 Convergence of global and bounded solutions of a two-species chemotaxis model with a logistic source. Zbl 1366.35067 Lin, Ke; Mu, Chunlai 48 2017 Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Zbl 1207.92040 Hu, Zhixing; Bi, Ping; Ma, Wanbiao; Ruan, Shigui 48 2011 Global existence for chemotaxis with finite sampling radius. Zbl 1116.92011 Hillen, T.; Painter, K.; Schmeiser, C. 48 2007 Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068 Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz 47 2013 Sufficient conditions for stability of linear differential equations with distributed delay. Zbl 0993.34065 Bernard, Samuel; Bélair, Jacques; Mackey, Michael C. 46 2001 Spatial structures and generalized travelling waves for an integro-differential equation. Zbl 1191.35041 Apreutesei, Narcisa; Bessonov, Nikolai; Volpert, Vitaly; Vougalter, Vitali 46 2010 Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity. Zbl 1282.35189 Tao, Youshan 45 2013 A multilayer Saint-Venant model: derivation and numerical validation. Zbl 1075.35030 Audusse, E. 44 2005 On a generalized Cahn-Hilliard equation with biological applications. Zbl 1304.35133 Cherfils, Laurence; Miranville, Alain; Zelik, Sergey 44 2014 Weak solution to compressible hydrodynamic flow of liquid crystals in dimension one. Zbl 1217.35099 Ding, Shijin; Wang, Changyou; Wen, Huanyao 44 2011 Competitive-exclusion versus competitive-coexistence for systems in the plane. Zbl 1116.37030 Kulenović, M. R. S.; Merino, Orlando 43 2006 Nonlocal convection-diffusion volume-constrained problems and jump processes. Zbl 1284.35223 Du, Qiang; Huang, Zhan; Lehoucq, Richard B. 43 2014 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 43 2014 Regularity under sharp anisotropic general growth conditions. Zbl 1158.49040 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 42 2009 The polynomial-preserving recovery for higher order finite element methods in 2D and 3D. Zbl 1078.65108 Naga, A.; Zhang, Z. 42 2005 Global bifurcation for discrete competitive systems in the plane. Zbl 1175.37058 Kulenović, M. R. S.; Merino, Orlando 42 2009 A systematic method for building smooth controls for smooth data. Zbl 1219.93011 Ervedoza, Sylvain; Zuazua, Enrique 42 2010 A robust well-balanced scheme for multi-layer shallow water equations. Zbl 1308.76060 Bouchut, François; Zeitlin, Vladimir 42 2010 Travelling waves for integro-differential equations in population dynamics. Zbl 1173.35541 Apreutesei, Narcisa; Ducrot, Arnaud; Volpert, Vitaly 41 2009 Pullback attractors and statistical solutions for 2-D Navier-Stokes equations. Zbl 1191.35067 Łukaszewicz, Grzegorz 41 2008 Fractional diffusion with Neumann boundary conditions: the logistic equation. Zbl 1274.35401 Montefusco, Eugenio; Pellacci, Benedetta; Verzini, Gianmaria 41 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 41 2014 Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations. Zbl 1415.35059 Zhao, Caidi; Xue, Gang; Łukaszewicz, Grzegorz 41 2018 Exponential stability of solutions to impulsive stochastic differential equations driven by \(G\)-Brownian motion. Zbl 1335.34089 Ren, Yong; Jia, Xuejuan; Hu, Lanying 40 2015 Evolution of mixed dispersal in periodic environments. Zbl 1270.35267 Kao, Chiu-Yen; Lou, Yuan; Shen, Wenxian 40 2012 Global stability of a five-dimensional model with immune responses and delay. Zbl 1233.92061 Yan, Yincui; Wang, Wendi 40 2012 Intraspecific interference and consumer-resource dynamics. Zbl 1100.92061 Cantrell, Robert Stephen; Cosner, Chris; Ruan, Shigui 39 2004 Global dynamics of a predator-prey model with Hassell-Varley type functional response. Zbl 1160.34046 Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang 39 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. 39 2010 Cops on the dots in a mathematical model of urban crime and police response. Zbl 1304.35702 Zipkin, Joseph R.; Short, Martin B.; Bertozzi, Andrea L. 38 2014 Codimension 3 B-T bifurcations in an epidemic model with a nonlinear incidence. Zbl 1317.34168 Li, Chengzhi; Li, Jianquan; Ma, Zhien 38 2015 On optimal control of a sweeping process coupled with an ordinary differential equation. Zbl 1304.49052 Adam, Lukáš; Outrata, Jiří 38 2014 Boundedness and stabilization in a two-species chemotaxis system with two chemicals. Zbl 1426.35133 Wang, Liangchen; Zhang, Jing; Mu, Chunlai; Hu, Xuegang 38 2020 Generalized Lyapunov-Razumikhin method for retarded differential inclusions: applications to discontinuous neural networks. Zbl 1371.34107 Cai, Zuowei; Huang, Jianhua; Huang, Lihong 38 2017 Traveling wave solutions for a diffusive SIS epidemic model. Zbl 1282.35118 Ding, Wei; Huang, Wenzhang; Kansakar, Siroj 38 2013 On the Hunter-Saxton system. Zbl 1176.35028 Wunsch, Marcus 38 2009 Relaxation oscillation profile of limit cycle in predator-prey system. Zbl 1176.34049 Hsu, Sze-Bi; Shi, Junping 37 2009 Avian influenza dynamics in wild birds with bird mobility and spatial heterogeneous environment. Zbl 1258.35033 Vaidya, Naveen K.; Wang, Feng-Bin; Zou, Xingfu 37 2012 Positive steady-state solutions for a water-vegetation model with the infiltration feedback effect. 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Zbl 1534.35062 Guo, Qingru; Cheng, Hongmei 1 2024 Large deviation principles of stochastic reaction-diffusion lattice systems. Zbl 1543.37076 Wang, Bixiang 1 2024 Bang-bang optimal controls for a mathematical model of chemo- and immunotherapy in cancer. Zbl 1534.92035 Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz 1 2024 Configuration of planar Kolmogorov cubic polynomial differential systems with the most centers. Zbl 07805441 He, Hongjin; Liu, Changjian; Xiao, Dongmei 1 2024 Well-posedness of a free boundary problem of early atherosclerotic plaque formation with reverse cholesterol transport. Zbl 1532.35547 Zhang, Li; Liu, Wenjun; An, Yanning; Cao, Xinxin 1 2024 Master equations for finite state mean field games with nonlinear activations. Zbl 1537.49035 Gao, Yuan; Liu, Jian-Guo; Li, Wuchen 1 2024 A multigroup approach to delayed prion production. Zbl 1542.34066 Adimy, Mostafa; Chekroun, Abdennasser; Pujo-Menjouet, Laurent; Sensi, Mattia 1 2024 Global boundedness of a three species predator-prey model with power-like interspecific interaction. Zbl 1537.35088 Yan, Dongze; Liu, Changchun 1 2024 Global solutions to a two-species chemotaxis system with gradient dependent sensitivity. Zbl 07922047 Liu, Changchun; Pan, Enhui 1 2024 Suppression of blow up by mixing in generalized Keller-Segel system with fractional dissipation and strong singular kernel. Zbl 07922048 Shi, Binbin 1 2024 Dynamics of a nonlinear Lamé lattice system with nonlinear damping. Zbl 07922080 Pereira, Jardel M. 1 2024 An overview on deep learning-based approximation methods for partial differential equations. Zbl 07675828 Beck, Christian; Hutzenthaler, Martin; Jentzen, Arnulf; Kuckuck, Benno 15 2023 Convergence rates of solutions in a predator-prey system with indirect pursuit-evasion interaction in domains of arbitrary dimension. Zbl 1502.35019 Liu, Xu; Zheng, Jiashan 13 2023 New well-posedness results for stochastic delay Rayleigh-Stokes equations. Zbl 1509.35361 Tuan, Nguyen Huy; Phuong, Nguyen Duc; Thach, Tran Ngoc 12 2023 Bifurcation and overexploitation in Rosenzweig-MacArthur model. Zbl 1506.37114 Lin, Xiaoqing; Xu, Yancong; Gao, Daozhou; Fan, Guihong 9 2023 Global large-data generalized solutions to a two-dimensional chemotaxis system stemming from crime modelling. Zbl 1516.35420 Li, Bin; Xie, Li 8 2023 Global generalized solvability in the Keller-Segel system with singular sensitivity and arbitrary superlinear degradation. Zbl 1502.35184 Zhang, Wenji 7 2023 Emergent behaviors of thermodynamic Cucker-Smale ensemble with a unit-speed constraint. Zbl 1519.34044 Ahn, Hyunjin 6 2023 Numerical threshold of linearly implicit Euler method for nonlinear infection-age SIR models. Zbl 1502.65079 Yang, Huizi; Yang, Zhanwen; Liu, Shengqiang 6 2023 On the asymptotic stability of a Bresse system with two fractional damping terms: theoretical and numerical analysis. Zbl 1500.74009 Bentrcia, Toufik; Mennouni, Abdelaziz 6 2023 Uniform in time \(L^\infty \)-estimates for an attraction-repulsion chemotaxis model with double saturation. Zbl 1504.35093 Frassu, Silvia; Rodríguez, Galván Rafael; Viglialoro, Giuseppe 6 2023 Spatial movement with nonlocal memory. Zbl 1518.35056 Shi, Qingyan; Song, Yongli 5 2023 Free boundary problems for the local-nonlocal diffusive model with different moving parameters. Zbl 1501.35246 Zhang, Heting; Li, Lei; Wang, Mingxin 5 2023 Statistical solution and Kolmogorov entropy for the impulsive discrete Klein-Gordon-Schrödinger-type equations. Zbl 1498.35606 Lin, Zehan; Xu, Chongbin; Zhao, Caidi; Li, Chujin 5 2023 Finite-time blow-up in a quasilinear degenerate parabolic-elliptic chemotaxis system with logistic source and nonlinear production. Zbl 1498.35115 Tanaka, Yuya; Yokota, Tomomi 5 2023 Upper semi-continuity of non-autonomous fractional stochastic \(p\)-Laplacian equation driven by additive noise on \(\mathbb{R}^n\). Zbl 1498.35644 Zhang, Xiaohui; Zhang, Xuping 5 2023 Existence and stability of periodic solutions for a mosquito suppression model with incomplete cytoplasmic incompatibility. Zbl 1517.34076 Yan, Rong; Zheng, Bo; Yu, Jianshe 5 2023 Finite-time flocking of Cucker-Smale model with unknown intrinsic dynamics. Zbl 1512.92145 Ru, Lining; Li, Xiaoyu; Liu, Yicheng; Wang, Xiao 5 2023 Global weak solutions of a parabolic-elliptic Keller-Segel system with gradient dependent chemotactic coefficients. Zbl 1512.92005 Jaiswal, Anjali; Rani, Poonam; Tyagi, Jagmohan 5 2023 Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems. Zbl 1521.35029 Gaffney, Eamonn A.; Krause, Andrew L.; Maini, Philip K.; Wang, Chenyuan 4 2023 Spreading dynamics for a predator-prey system with two predators and one prey in a shifting habitat. Zbl 1521.35102 Guo, Jong-Shenq; Shimojo, Masahiko; Wu, Chin-Chin 4 2023 Global existence and optimal time decay for the viscous liquid-gas two-phase flow model in the \(L^p\) critical Besov space. Zbl 1523.76108 Xu, Jiang; Zhu, Limin 4 2023 Periodic traveling waves in a time periodic SEIR model with nonlocal dispersal and delay. Zbl 1516.35171 Yang, Lu; Li, Yongkun 4 2023 Transmission dynamics of a general temporal-spatial vector-host epidemic model with an application to the dengue fever in Guangdong, China. Zbl 1500.92109 Luo, Yantao; Teng, Zhidong; Zhao, Xiao-Qiang 4 2023 On the Campanato and Hölder regularity of local and nonlocal stochastic diffusion equations. Zbl 1501.60034 Lv, Guangying; Gao, Hongjun; Wei, Jinlong; Wu, Jiang-Lun 4 2023 Asymptotic properties in non-autonomous stochastic parabolic problems dominated by \(p\)-Laplacian operator on thin domains. Zbl 1502.35024 Pu, Zhe; Gong, Ting; Li, Dingshi 4 2023 Boundary preserving explicit scheme for the Aït-Sahalia mode. Zbl 1514.60078 Halidias, Nikolaos; Stamatiou, Ioannis S. 4 2023 Stochastic differential equation with piecewise continuous arguments: Markov property, invariant measure and numerical approximation. Zbl 1498.60286 Chen, Chuchu; Hong, Jialin; Lu, Yulan 4 2023 A novel numerical method based on a high order polynomial approximation of the fourth order Steklov equation and its eigenvalue problems. Zbl 1501.65142 Jiang, Jiantao; An, Jing; Zhou, Jianwei 4 2023 Asymptotic behavior of the principal eigenvalue and basic reproduction ratio for time-periodic reaction-diffusion systems with time delay. Zbl 1512.35081 Lin, Xiandong; Wang, Qiru 4 2023 Threshold asymptotic dynamics for a spatial age-dependent cell-to-cell transmission model with nonlocal disperse. Zbl 1512.35071 Djilali, Salih 4 2023 Approximate properties of stochastic functional differential equations with singular perturbations. Zbl 1519.34091 Wu, Minyu; Cao, Wenjie; Wu, Fuke 3 2023 Global existence, blow-up and optimal decay for a nonlinear viscoelastic equation with nonlinear damping and source term. Zbl 1520.35019 Zhang, Zaiyun; Ouyang, Qiancheng 3 2023 Boundedness and global stability in a three-species predator-prey system with prey-taxis. Zbl 1516.35104 Zheng, Pan 3 2023 Effects of environmental heterogeneity on species spreading via numerical analysis of some free boundary models. Zbl 1521.35103 Khan, Kamruzzaman; Schaerf, Timothy M.; Du, Yihong 3 2023 Chemotaxis(-fluid) systems with logarithmic sensitivity and slow consumption: global generalized solutions and eventual smoothness. Zbl 1518.35593 Fuest, Mario 3 2023 Long, intermediate and short-term well-posedness of high precision shallow-water models with topography variations. Zbl 1498.35426 Khorbatly, Bashar 3 2023 Positive periodic solutions for systems of impulsive delay differential equations. Zbl 1532.34070 Faria, Teresa; Figueroa, Rubén 3 2023 Modelling Trypanosoma cruzi-Trypanosoma rangeli co-infection and pathogenic effect on Chagas disease spread. Zbl 1504.92165 Wu, Xiaotian; Gao, Daozhou; Song, Zilong; Wu, Jianhong 3 2023 Geometric singular perturbation of a nonlocal partially degenerate model for Aedes aegypti. Zbl 1501.35074 Wang, Kai; Zhao, Hongyong; Wang, Hao 3 2023 Periodic solutions in distribution of stochastic lattice differential equations. Zbl 1507.34012 Zhou, Xinping; Li, Yong; Jiang, Xiaomeng 3 2023 Asymptotic behavior of quasi-linear evolution equations on time-dependent product spaces. Zbl 1502.35027 Xie, Zhe; Zhang, Jiangwei; Xie, Yongqin 3 2023 On the convergence of the Crank-Nicolson method for the logarithmic Schrödinger equation. Zbl 1501.65077 Paraschis, Panagiotis; Zouraris, Georgios E. 3 2023 Global existence and blow-up for the focusing inhomogeneous nonlinear Schrödinger equation with inverse-square potential. Zbl 1501.35360 An, Jinmyong; Jang, Roesong; Kim, Jinmyong 3 2023 Classification of nonnegative traveling wave solutions for the 1D degenerate parabolic equations. Zbl 1501.35115 Ichida, Yu 3 2023 The wave interactions of an improved Aw-Rascle-Zhang model with a non-genuinely nonlinear field. Zbl 1505.35089 Jiang, Weifeng; Chen, Tingting; Li, Tong; Wang, Zhen 3 2023 A stage-structured predator-prey model with Crowley-Martin functional response. Zbl 1519.92205 Li, Nannan; Sun, Wenxian; Liu, Shengqiang 3 2023 The efficient ADI Galerkin finite element methods for the three-dimensional nonlocal evolution problem arising in viscoelastic mechanics. Zbl 1529.65082 Qiu, Wenlin; Xu, Da; Yang, Xuehua; Zhang, Haixiang 3 2023 Normalized solutions to lower critical Choquard equation with a local perturbation. Zbl 1514.35195 Li, Xinfu; Bao, Jianguang; Tang, Wenguang 3 2023 A discrete state-structured model on networks with two transmission modes: global dynamics analysis. Zbl 1517.34068 Liu, Guyue; Liu, Suli; Li, Michael Y. 3 2023 Global behavior of a two-species predator-prey chemotaxis model with signal-dependent diffusion and sensitivity. Zbl 1514.35053 Miao, Liangying; Fu, Shengmao 3 2023 Periodic curved fronts in reaction-diffusion equations with ignition time-periodic nonlinearity. Zbl 1512.35147 Zhang, Suobing; Bu, Zhen-Hui; Wang, Zhi-Cheng 3 2023 Small data global well-posedness for the inhomogeneous biharmonic NLS in Sobolev spaces. Zbl 1512.35528 An, Jinmyong; Ryu, Pyongjo; Kim, Jinmyong 3 2023 Invariant sample measures and random Liouville type theorem for a nonautonomous stochastic \(p\)-Laplacian equation. Zbl 1512.35699 Wang, Jintao; Zhang, Xiaoqian 3 2023 Analysis on a diffusive SIRS epidemic model with logistic source and saturated incidence rate. Zbl 1512.35378 Liu, Chuanxin; Cui, Renhao 3 2023 Global boundedness in a parabolic-parabolic-elliptic attraction-repulsion chemotaxis system with nonlinear productions. Zbl 1512.35095 Wang, Shujuan; Hu, Jiahui; Xiao, Xia 3 2023 Pullback attractors and upper semicontinuity for non-autonomous extensible two-beams. Zbl 1516.37130 Aouadi, Moncef; Guerine, Souad 3 2023 An SIR epidemic model with nonlocal diffusion and free boundaries. Zbl 1512.35603 Yang, Guoying; Wang, Mingxin 3 2023 Smooth linearization of nonautonomous coupled systems. Zbl 1522.39001 Backes, Lucas; Dragičević, Davor 3 2023 Destabilising nonnormal stochastic differential equations. Zbl 1515.65024 D’Ambrosio, Raffaele; Guglielmi, Nicola; Scalone, Carmela 3 2023 Stability and Hopf bifurcation in an age-structured SIR epidemic model with relapse. Zbl 1508.37120 Sun, Dandan; Li, Yingke; Teng, Zhidong; Zhang, Tailei 3 2023 ...and 1311 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 19,966 Authors 105 Caraballo Garrido, Tomás 102 Li, Wan-Tong 78 Jiang, Daqing 75 Winkler, Michael 73 Quintanilla de Latorre, Ramón 67 Ruan, Shigui 67 Teng, Zhi-dong 66 Yang, Xiaofeng 64 Mu, Chunlai 63 Li, Yangrong 63 Wang, Bixiang 61 Wang, Hao 55 Wang, Zhicheng 54 Wang, Mingxin 52 Llibre, Jaume 52 Wang, Zhian 51 Kloeden, Peter Eris 49 Du, Qiang 48 Chung, Tsz Shun Eric 48 Yuan, Rong 47 Mao, Xuerong 45 Chen, Yuming 45 Guo, Shangjiang 43 Zhao, Xiao-Qiang 42 Tang, Sanyi 42 Wang, Jinliang 41 Carrillo de la Plata, José Antonio 40 Chen, Lansun 40 Kulenović, Mustafa R. S. 40 Zheng, Pan 39 Gao, Hongjun 39 Huang, Jicai 39 Liu, Bin 38 Feng, Zhaosheng 38 Huang, Jianhua 38 Wang, Renhai 38 Zhao, Caidi 37 Cao, Jinde 37 Hayat, Tasawar 37 Lin, Zhigui 36 Al-saedi, Ahmed Eid Salem 35 Kuniya, Toshikazu 35 Ren, Guoqiang 35 Shi, Junping 35 Valero, José 35 Wu, Shiliang 34 He, Xiaoming 34 Lou, Yuan 34 Nguyen Huy Tuan 34 Shen, Wenxian 34 Volpert, Vitaly A. 34 Zhao, Weidong 33 Du, Yihong 33 Feng, Xinlong 33 Lin, Guo 33 Liu, Qun 33 Miranville, Alain M. 33 Perthame, Benoît 33 Yu, Jian-She 33 Yuan, Sanling 33 Zhang, Tonghua 33 Zheng, Jiashan 32 Huo, Hai-Feng 32 Wang, Cheng 31 Bellomo, Nicola 31 Ha, Seung-Yeal 31 He, Yinnian 31 Li, Dingshi 31 Liu, Zuhan 31 Ma, Wanbiao 31 Ren, Yong 31 Wei, Junjie 30 Efendiev, Yalchin R. 30 Mireles-James, Jason D. 30 Yang, Yu 29 Giesl, Peter 29 Guo, Jong-Shenq 29 Hsu, Cheng-Hsiung 29 Liu, Zhijun 29 Wang, Weiming 29 Wu, YiXiang 29 Zhong, Xin 28 Ackleh, Azmy S. 28 El Fatini, Mohamed 28 Fernández, Jose Ramon 28 Garrido-Atienza, María José 28 Surulescu, Christina 28 Xu, Yong 28 Zhang, Qimin 28 Zhou, Shengfan 27 Adimy, Mostafa 27 Banerjee, Malay 27 Coclite, Giuseppe Maria 27 Huang, Lihong 27 Kuang, Yang 27 Liu, Shengqiang 27 Sun, Chunyou 27 Wang, Yejuan 27 Zhou, Ling 26 Chen, Fengde ...and 19,866 more Authors all top 5 Cited in 781 Journals 938 Discrete and Continuous Dynamical Systems. 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Nonlinear Differential Equations and Applications 61 Proceedings of the American Mathematical Society 60 Journal de Mathématiques Pures et Appliquées. Neuvième Série 58 Celestial Mechanics and Dynamical Astronomy 58 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 58 Mathematical Modelling of Natural Phenomena 57 Numerical Algorithms 56 Complexity 55 Mathematical and Computer Modelling 54 Journal of Optimization Theory and Applications 53 Mathematical Problems in Engineering 52 Journal of Statistical Physics 52 International Journal of Computer Mathematics 52 SIAM Journal on Scientific Computing 52 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 51 Journal of Biological Systems 50 Stochastic Analysis and Applications 50 Nonlinear Analysis. Hybrid Systems 49 Science China. Mathematics 48 International Journal of Control 48 ZAMM. 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Analyse Non Linéaire 47 Multiscale Modeling & Simulation 47 Mediterranean Journal of Mathematics 47 Mathematical Control and Related Fields 46 Networks and Heterogeneous Media 45 Communications in Mathematical Physics 44 Journal of Functional Analysis 44 Systems & Control Letters ...and 681 more Journals all top 5 Cited in 62 Fields 9,808 Partial differential equations (35-XX) 7,209 Biology and other natural sciences (92-XX) 4,042 Ordinary differential equations (34-XX) 3,070 Dynamical systems and ergodic theory (37-XX) 2,813 Numerical analysis (65-XX) 2,350 Fluid mechanics (76-XX) 2,079 Probability theory and stochastic processes (60-XX) 1,440 Systems theory; control (93-XX) 1,135 Calculus of variations and optimal control; optimization (49-XX) 945 Mechanics of deformable solids (74-XX) 780 Operator theory (47-XX) 572 Statistical mechanics, structure of matter (82-XX) 565 Difference and functional equations (39-XX) 519 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 441 Mechanics of particles and systems (70-XX) 435 Integral equations (45-XX) 411 Real functions (26-XX) 302 Operations research, mathematical programming (90-XX) 232 Geophysics (86-XX) 209 Classical thermodynamics, heat transfer (80-XX) 179 Computer science (68-XX) 168 Optics, electromagnetic theory (78-XX) 160 Global analysis, analysis on manifolds (58-XX) 158 Quantum theory (81-XX) 130 Functional analysis (46-XX) 116 Statistics (62-XX) 108 Linear and multilinear algebra; matrix theory (15-XX) 88 Differential geometry (53-XX) 86 Information and communication theory, circuits (94-XX) 82 Special functions (33-XX) 79 Approximations and expansions (41-XX) 78 Combinatorics (05-XX) 73 Measure and integration (28-XX) 63 Harmonic analysis on Euclidean spaces (42-XX) 53 General topology (54-XX) 44 Functions of a complex variable (30-XX) 38 Integral transforms, operational calculus (44-XX) 35 Potential theory (31-XX) 25 Astronomy and astrophysics (85-XX) 22 General and overarching topics; collections (00-XX) 21 Algebraic geometry (14-XX) 17 History and biography (01-XX) 16 Topological groups, Lie groups (22-XX) 16 Algebraic topology (55-XX) 16 Relativity and gravitational theory (83-XX) 15 Several complex variables and analytic spaces (32-XX) 12 Field theory and polynomials (12-XX) 12 Convex and discrete geometry (52-XX) 11 Number theory (11-XX) 11 Group theory and generalizations (20-XX) 9 Abstract harmonic analysis (43-XX) 9 Mathematics education (97-XX) 8 Manifolds and cell complexes (57-XX) 6 Commutative algebra (13-XX) 4 Mathematical logic and foundations (03-XX) 4 Category theory; homological algebra (18-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Nonassociative rings and algebras (17-XX) 2 Geometry (51-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Sequences, series, summability (40-XX) Citations by Year