## 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/journal/1531-3492http://aimsciences.org/journal/1531-3492 Comments: Indexed cover-to-cover
 Documents Indexed: 3,060 Publications (since 2001) References Indexed: 1,687 Publications with 52,720 References.
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### Authors

 30 Caraballo Garrido, Tomás 22 Llibre, Jaume 19 Li, Wan-Tong 19 Ruan, Shigui 17 Kloeden, Peter Eris 14 Hsu, Szebi 13 Giesl, Peter 13 Ledzewicz, Urszula 13 Mao, Xuerong 13 Wang, Feng-Bin 12 Huang, Jianhua 12 Kuang, Yang 12 Valero, José 11 He, Yinnian 10 Guo, Shangjiang 10 Lou, Yuan 10 Mu, Chunlai 10 Nie, Qing 10 Schättler, Heinz Michael 10 Zhao, Xiao-Qiang 9 Duan, Jinqiao 9 Gao, Hongjun 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 Thieme, Horst R. 9 Zhang, Zhimin 9 Zhong, Chengkui 9 Zou, Xingfu 8 Friedman, Avner 8 Hafstein, Sigurður Freyr 8 Li, Yong 8 Lin, Zhigui 8 Ma, Wanbiao 8 Magal, Pierre 8 Simó, Carles 8 Valls Anglés, Cláudia 8 Wang, Jinliang 8 Wang, Qi 8 Wang, Wendi 8 Wang, Yejuan 8 Wang, Zhian 8 Wu, Jianhong 8 Yuan, Rong 8 Zhang, Weinian 7 Du, Qiang 7 Ha, Seung-Yeal 7 Han, Xiaoying 7 Hu, Bei 7 Kolokolnikov, Theodore 7 Krejčí, Pavel 7 Li, Bingtuan 7 Ma, Tian 7 Migórski, Stanisław 7 Qiu, Zhipeng 7 Rachinskii, Dmitrii I. 7 Schmeidel, Ewa L. 7 Takeuchi, Yasuhiro 7 Tung, Ka Kit 7 Wang, Bixiang 7 Wang, Quan 7 Webb, Glenn Francis 7 Wu, Fuke 7 Xiao, Dongmei 6 Adimy, Mostafa 6 Allaire, Grégoire 6 Cantrell, Robert Stephen 6 Chen, Lansun 6 Feng, Zhaosheng 6 Fu, Xianlong 6 Huang, Lihong 6 Jüngel, Ansgar 6 Kapustyan, Oleksiy V. 6 Lei, Jinzhi 6 Li, Fang 6 Li, Ji 6 Li, Yangrong 6 Lin, Yanping 6 Lu, Kening 6 Marín-Rubio, Pedro 6 Mei, Linfeng 6 Nie, Hua 6 Nolasco de Carvalho, Alexandre 6 Palmer, Kenneth James 6 Pilyugin, Sergei S. 6 Quintanilla de Latorre, Ramón 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, Shouhong 6 Wang, Zhongqing 6 Wu, Jianhua ...and 4,582 more Authors
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### Fields

 1,458 Partial differential equations (35-XX) 1,082 Biology and other natural sciences (92-XX) 814 Ordinary differential equations (34-XX) 736 Dynamical systems and ergodic theory (37-XX) 374 Probability theory and stochastic processes (60-XX) 355 Numerical analysis (65-XX) 347 Fluid mechanics (76-XX) 215 Systems theory; control (93-XX) 175 Calculus of variations and optimal control; optimization (49-XX) 138 Operator theory (47-XX) 135 Mechanics of deformable solids (74-XX) 115 Difference and functional equations (39-XX) 98 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 94 Statistical mechanics, structure of matter (82-XX) 84 Integral equations (45-XX) 77 Mechanics of particles and systems (70-XX) 49 Geophysics (86-XX) 49 Operations research, mathematical programming (90-XX) 48 Classical thermodynamics, heat transfer (80-XX) 38 Global analysis, analysis on manifolds (58-XX) 37 General and overarching topics; collections (00-XX) 35 Real functions (26-XX) 34 Optics, electromagnetic theory (78-XX) 24 Statistics (62-XX) 21 Measure and integration (28-XX) 21 Differential geometry (53-XX) 21 Computer science (68-XX) 19 Combinatorics (05-XX) 16 Information and communication theory, circuits (94-XX) 14 Functional analysis (46-XX) 13 Quantum theory (81-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Approximations and expansions (41-XX) 9 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 General topology (54-XX) 4 Algebraic geometry (14-XX) 4 Convex and discrete geometry (52-XX) 3 Mathematical logic and foundations (03-XX) 3 Number theory (11-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-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 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX)

### Citations contained in zbMATH Open

2,209 Publications have been cited 15,940 times in 12,574 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
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
Optimal control of vector-borne diseases: Treatment and prevention. Zbl 1162.92034
Blayneh, Kbenesh; Cao, Yanzhao; Kwon, Hee-Dae
2009
Modelling and analysis of integrated pest management strategy. Zbl 1114.92074
Tang, Sanyi; Chen, Lansun
2004
Wide stencil finite difference schemes for the elliptic Monge-Ampère equation and functions of the eigenvalues of the Hessian. Zbl 1145.65085
2008
Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1334.35104
Li, Yuxiang; Zhang, Qingshan
2015
Bifurcation analysis in a predator-prey model with constant-yield predator harvesting. Zbl 1417.34092
Huang, Jicai; Gong, Yijun; Ruan, Shigui
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
Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals. Zbl 1329.35075
Winkler, Michael; Tao, Youshan
2015
Pattern formation of the attraction-repulsion Keller-Segel system. Zbl 1277.35048
Liu, Ping; Shi, Junping; Wang, Zhi-An
2013
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
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
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
A mathematical model of tumor-immune evasion and siRNA treatment. Zbl 1083.37531
Arciero, J. C.; Jackson, T. L.; Kirschner, D. E.
2004
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
Impulsive vaccination of SIR epidemic models with nonlinear incidence rates. Zbl 1100.92040
Hui, Jing; Chen, Lansun
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
Analysis of a phase field Navier-Stokes vesicle-fluid interaction model. Zbl 1172.74016
Du, Qiang; Li, Manlin; Liu, Chun
2007
Infinite propagation speed for a two component Camassa-Holm equation. Zbl 1180.35458
Henry, David
2009
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
Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems. Zbl 1377.35158
Winkler, Michael
2017
Optimal control of ODE systems involving a rate independent variational inequality. Zbl 1260.49002
Brokate, Martin; Krejčí, Pavel
2013
Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity. Zbl 1366.35068
Mizukami, Masaaki
2017
On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models. Zbl 1202.35172
Larios, Adam; Titi, Edriss S.
2010
A modified proof of pullback attractors in a Sobolev space for stochastic FitzHugh-Nagumo equations. Zbl 1348.37114
Li, Yangrong; Yin, Jinyan
2016
$$Z$$-eigenvalue inclusion theorems for tensors. Zbl 1362.15014
Wang, Gang; Zhou, Guanglu; Caccetta, Louis
2017
Competitive-exclusion versus competitive-coexistence for systems in the plane. Zbl 1116.37030
Kulenović, M. R. S.; Merino, Orlando
2006
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
Global existence for chemotaxis with finite sampling radius. Zbl 1116.92011
Hillen, T.; Painter, K.; Schmeiser, C.
2007
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
Random attractors for stochastic FitzHugh-Nagumo systems driven by deterministic non-autonomous forcing. Zbl 1264.37046
Adili, Abiti; Wang, Bixiang
2013
Efficient time discretization for local discontinuous Galerkin methods. Zbl 1141.65076
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
2007
A model for disease transmission in a patchy environment. Zbl 1088.92050
Salmani, Mahin; van den Driessche, P.
2006
Global bifurcation for discrete competitive systems in the plane. Zbl 1175.37058
Kulenović, M. R. S.; Merino, Orlando
2009
Review on computational methods for Lyapunov functions. Zbl 1337.37001
Hafstein, Sigurdur; Giesl, Peter
2015
On the Hunter-Saxton system. Zbl 1176.35028
Wunsch, Marcus
2009
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
A multilayer Saint-Venant model: derivation and numerical validation. Zbl 1075.35030
Audusse, E.
2005
Analysis of a scalar nonlocal peridynamic model with a sign changing kernel. Zbl 1278.45014
Mengesha, Tadele; Du, Qiang
2013
Intraspecific interference and consumer-resource dynamics. Zbl 1100.92061
Cantrell, Robert Stephen; Cosner, Chris; Ruan, Shigui
2004
Travelling waves for integro-differential equations in population dynamics. Zbl 1173.35541
Apreutesei, Narcisa; Ducrot, Arnaud; Volpert, Vitaly
2009
A direct Lebeau-Robbiano strategy for the observability of heat-like semigroups. Zbl 1219.93017
Miller, Luc
2010
Weak solution to compressible hydrodynamic flow of liquid crystals in dimension one. Zbl 1217.35099
Ding, Shijin; Wang, Changyou; Wen, Huanyao
2011
Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. Zbl 1360.35084
Black, Tobias
2017
Variational proof for hard discrete breathers in some classes of Hamiltonian dynamical systems. Zbl 1092.37523
Aubry, S.; Kopidakis, G.; Kadelburg, V.
2001
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
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
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
Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Zbl 1207.92040
Hu, Zhixing; Bi, Ping; Ma, Wanbiao; Ruan, Shigui
2011
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 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
Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068
Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz
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
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
Second-sound phenomena in inviscid, thermally relaxing gases. Zbl 1302.76095
Jordan, Pedro M.
2014
Long-time behaviour of a perturbed SIR model by white noise. Zbl 1435.92077
Lin, Yuguo; Jiang, Daqing
2013
Well-posedness and numerical algorithm for the tempered fractional differential equations. Zbl 1414.34005
Li, Can; Deng, Weihua; Zhao, Lijing
2019
The polynomial-preserving recovery for higher order finite element methods in 2D and 3D. Zbl 1078.65108
Naga, A.; Zhang, Z.
2005
Regularity under sharp anisotropic general growth conditions. Zbl 1158.49040
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
2009
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
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
Kernel sections for processes and nonautonomous lattice systems. Zbl 1149.37040
Zhao, Xiao-Qiang; Zhou, Shengfan
2008
A systematic method for building smooth controls for smooth data. Zbl 1219.93011
Ervedoza, Sylvain; Zuazua, Enrique
2010
Existence and multiplicity of homoclinic orbits for second order Hamiltonian systems without $$(AR)$$ condition. Zbl 1216.34033
Wan, Li-Li; Tang, Chun-Lei
2011
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
A robust well-balanced scheme for multi-layer shallow water equations. Zbl 1308.76060
Bouchut, François; Zeitlin, Vladimir
2010
Global stability of a five-dimensional model with immune responses and delay. Zbl 1233.92061
Yan, Yincui; Wang, Wendi
2012
From a class of kinetic models to the macroscopic equations for multicellular systems in biology. Zbl 1044.92021
Bellomo, N.; Bellouquid, A.
2004
Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity. Zbl 1282.35189
Tao, Youshan
2013
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
Interaction of diffusion and delay. Zbl 1128.92001
Hadeler, Karl P.; Ruan, Shigui
2007
Local stability implies global stability in some one-dimensional discrete single-species models. Zbl 1187.39026
Liz, Eduardo
2007
Asymptotic behavior of random FitzHugh-Nagumo systems driven by colored noise. Zbl 1396.35078
Gu, Anhui; Wang, Bixiang
2018
A mathematical evolution model for phytoremediation of metals. Zbl 1085.34530
Thomas, Diana M.; Vandemuelebroeke, Lynn; Yamaguchi, Kenneth
2005
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
Permanence of predator-prey system with stage structure. Zbl 1100.92062
Cui, Jingan; Song, Xinyu
2004
Examples of moderate deviation principle for diffusion processes. Zbl 1138.60029
Guillin, A.; Liptser, R.
2006
Blow up and propagation speed of solutions to the DGH equation. Zbl 1180.35473
Zhou, Yong; Guo, Zhengguang
2009
Graph-theoretic approach to stability of multi-group models with dispersal. Zbl 1311.34105
Zhang, Chunmei; Li, Wenxue; Wang, Ke
2015
A mathematical and numerical analysis of the Maxwell-Stefan diffusion equations. Zbl 1245.35091
Boudin, Laurent; Grec, Bérénice; Salvarani, Francesco
2012
Size-structured population dynamics models and their numerical solutions. Zbl 1052.92045
Abia, L. M.; Angulo, O.; López-Marcos, J. C.
2004
Nonisotropic 3-level quantum systems: complete solutions for minimum time and minimum energy. Zbl 1084.81083
Boscain, Ugo; Chambrion, Thomas; Charlot, Grégoire
2005
Relaxation oscillation profile of limit cycle in predator-prey system. Zbl 1176.34049
Hsu, Sze-Bi; Shi, Junping
2009
Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity. Zbl 1330.35051
Senba, Takasi; Fujie, Kentarou
2016
Dynamics of Timoshenko system with time-varying weight and time-varying delay. Zbl 1481.35065
Nonato, Carlos; dos Santos, Manoel Jeremias; Raposo, Carlos
2022
Qualitative analysis of integro-differential equations with variable retardation. Zbl 07461151
Bohner, Martin; Tunç, Osman
2022
Single-target networks. Zbl 07461157
Craciun, Gheorghe; Jin, Jiaxin; Yu, Polly Y.
2022
Mixed Hegselmann-Krause dynamics. Zbl 07461172
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
Linear programming estimates for Cesàro and Abel limits of optimal values in optimal control problems. Zbl 07485786
Gaitsgory, Vladimir; Shvartsman, Ilya
2022
A general multipatch cholera model in periodic environments. Zbl 07485789
Wang, Feng-Bin; Wang, Xueying
2022
On existence and numerical approximation in phase-lag thermoelasticity with two temperatures. Zbl 07501093
Campo, Marco; Copetti, Maria I. M.; Fernández, José R.; Quintanilla, Ramón
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
Cauchy problem for stochastic non-autonomous evolution equations governed by noncompact evolution families. Zbl 1469.34082
Chen, Pengyu; Li, Yongxiang; Zhang, Xuping
2021
On the unboundedness of the ratio of species and resources for the diffusive logistic equation. Zbl 1471.35276
Inoue, Jumpei; Kuto, Kousuke
2021
Global strong solution and exponential decay for nonhomogeneous Navier-Stokes and magnetohydrodynamic equations. Zbl 1467.76075
Zhong, Xin
2021
When do Keller-Segel systems with heterogeneous logistic sources admit generalized solutions? Zbl 1472.35413
Yan, Jianlu; Fuest, Mario
2021
Nonlinear dynamics in tumor-immune system interaction models with delays. Zbl 1468.34115
Ruan, Shigui
2021
Global optimization-based dimer method for finding saddle points. Zbl 1468.37057
Yu, Bing; Zhang, Lei
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
Global analysis of a model of competition in the chemostat with internal inhibitor. Zbl 1469.34064
Dellal, Mohamed; Bar, Bachir
2021
Approximation methods for the distributed order calculus using the convolution quadrature. Zbl 1472.65034
Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin
2021
Long-time dynamics of a diffusive epidemic model with free boundaries. Zbl 1466.35047
Wang, Rong; Du, Yihong
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
Qualitative analysis of a Lotka-Volterra competition-diffusion-advection system. Zbl 1466.92161
Wei, Dan; Guo, Shangjiang
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
Mathematical analysis of a three-tiered food-web in the chemostat. Zbl 1471.34096
Nouaoura, Sarra; Fekih-Salem, Radhouane; Abdellatif, Nahla; Sari, Tewfik
2021
Stochastic modelling and analysis of harvesting model: application to “summer fishing moratorium” by intermittent control. Zbl 1471.34108
Zou, Xiaoling; Zheng, Yuting
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
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
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
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
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 Keller-Segel system with logistic growth and signal-dependent motility. Zbl 1466.35038
Jin, Hai-Yang; Wang, Zhi-An
2021
Invariant measures of stochastic delay lattice systems. Zbl 1471.37070
Chen, Zhang; Li, Xiliang; Wang, Bixiang
2021
Dynamics at infinity and Jacobi stability of trajectories for the Yang-Chen system. Zbl 1470.34041
Liu, Yongjian; Huang, Qiujian; Wei, Zhouchao
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
Finite-time stability of impulsive differential inclusion: applications to discontinuous impulsive neural networks. Zbl 1467.93280
Wang, Zengyun; Cao, Jinde; Cai, Zuowei; Huang, Lihong
2021
Collective behaviors of a Winfree ensemble on an infinite cylinder. Zbl 1468.70008
Ha, Seung-Yeal; Kang, Myeongju; Moon, Bora
2021
Wong-Zakai approximations and attractors for stochastic wave equations driven by additive noise. Zbl 1472.60106
Wang, Xiaohu; Li, Dingshi; Shen, Jun
2021
The coupled 1:2 resonance in a symmetric case and parametric amplification model. Zbl 1471.37060
Mazrooei-Sebdani, Reza; Yousefi, Zahra
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
Time periodic solutions for a two-species chemotaxis-Navier-Stokes system. Zbl 1467.92041
Liu, Changchun; Li, Pingping
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
Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve. Zbl 07360890
Tian, Huanhuan; Han, Maoan
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
A nonlinear fractional reaction-diffusion system applied to image denoising and decomposition. Zbl 1466.94003
Atlas, Abdelghafour; Bendahmane, Mostafa; Karami, Fahd; Meskine, Driss; Oubbih, Omar
2021
Persistence and extinction of a stochastic SIS epidemic model with regime switching and Lévy jumps. Zbl 1475.92177
Li, Shangzhi; Guo, Shangjiang
2021
Periodic, almost periodic and almost automorphic solutions for SPDEs with monotone coefficients. Zbl 07437428
Cheng, Mengyu; Liu, Zhenxin
2021
Dynamics of a discrete-time stoichiometric optimal foraging model. Zbl 1466.92219
Chen, Ming; Wang, Hao
2021
Chaotic dynamics in a simple predator-prey model with discrete delay. Zbl 1468.34111
Fan, Guihong; Wolkowicz, Gail S. K.
2021
Coexistence of competing consumers on a single resource in a hybrid model. Zbl 1466.92225
Geng, Yunfeng; Wang, Xiaoying; Lutscher, Frithjof
2021
On the role of pharmacometrics in mathematical models for cancer treatments. Zbl 1466.92077
Ledzewicz, Urszula; Schättler, Heinz
2021
Rich dynamics of a simple delay host-pathogen model of cell-to-cell infection for plant virus. Zbl 1468.34114
Phan, Tin; Pell, Bruce; Kendig, Amy E.; Borer, Elizabeth T.; Kuang, Yang
2021
Efficient and accurate SAV schemes for the generalized Zakharov systems. Zbl 1465.35362
Shen, Jie; Zheng, Nan
2021
Random attractors for 2D stochastic micropolar fluid flows on unbounded domains. Zbl 1468.35150
Sun, Wenlong; Cheng, Jiaqi; Han, Xiaoying
2021
How to detect Wada basins. Zbl 1470.37103
Wagemakers, Alexandre; Daza, Alvar; Sanjuán, Miguel A. F.
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 behaviour of traveling wave solution for a discrete diffusive epidemic model. Zbl 1469.37057
Zhang, Ran; Liu, Shengqiang
2021
Collision-free flocking for a time-delay system. Zbl 1472.34143
Chen, Maoli; Wang, Xiao; Liu, Yicheng
2021
Attractors for Fitzhugh-Nagumo lattice systems with almost periodic nonlinear parts. Zbl 1476.37090
Boughoufala, Amira M.; Abdallah, Ahmed Y.
2021
Ergodicity of stochastic damped Ostrovsky equation driven by white noise. Zbl 1468.60084
Wu, Shang; Xu, Pengfei; Huang, Jianhua; Yan, Wei
2021
Competitive exclusion in phytoplankton communities in a eutrophic water column. Zbl 1466.35240
Cantrell, Robert Stephen; Lam, King-Yeung
2021
Traveling wave solutions of a free boundary problem with latent heat effect. Zbl 1466.35076
Chang, Chueh-Hsin; Chen, Chiun-Chuan; Huang, Chih-Chiang
2021
Recent developments on a singular predator-prey model. Zbl 1466.35077
Chen, Yu-Shuo; Guo, Jong-Shenq; Shimojo, Masahiko
2021
Spatial pattern formation in activator-inhibitor models with nonlocal dispersal. Zbl 1466.35024
Chen, Shanshan; Shi, Junping; Zhang, Guohong
2021
Existence and uniqueness of solutions for a hyperbolic Keller-Segel equation. Zbl 1466.35257
Fu, Xiaoming; Griette, Quentin; Magal, Pierre
2021
The spatial dynamics of a Zebra mussel model in river environments. Zbl 1470.35363
Jin, Yu; Zhao, Xiang-Qiang
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
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
Relaxation oscillations in a spruce-budworm interaction model with Holling’s type II functional response. Zbl 1470.34136
Tai, Yi-Ming; Zhang, Zhengyang
2021
Variational solutions of stochastic partial differential equations with cylindrical Lévy noise. Zbl 1466.60129
Kosmala, Tomasz; Riedle, Markus
2021
Revisit of the Peierls-Nabarro model for edge dislocations in Hilbert space. Zbl 1471.35268
Gao, Yuan; Liu, Jian-Guo; Luo, Tao; Xiang, Yang
2021
Global well-posedness of a 3D Stokes-magneto equations with fractional magnetic diffusion. Zbl 1471.35234
Ji, Yingdan; Tan, Wen
2021
Qualitative properties and bifurcations of a leaf-eating herbivores model. Zbl 1471.37082
Zhong, Jiyu
2021
A Wong-Zakai approximation of stochastic differential equations driven by a general semimartingale. Zbl 1469.60189
Liu, Xianming; Han, Guangyue
2021
The nonstationary flows of micropolar fluids with thermal convection: an iterative approach. Zbl 1471.35228
Amorim, Charles; Loayza, Miguel; Rojas-Medar, Marko A.
2021
Global classical solutions to two-dimensional chemotaxis-shallow water system. Zbl 1466.35048
Yang, Ying
2021
Persistence and time periodic positive solutions of doubly nonlocal Fisher-KPP equations in time periodic and space heterogeneous media. Zbl 1479.35529
Gao, Jianping; Guo, Shangjiang; Shen, Wenxian
2021
Permanence and extinction of a stochastic SIS epidemic model with three independent Brownian motions. Zbl 1470.34131
Li, Shangzhi; Guo, Shangjiang
2021
Numerical analysis and simulation of an adhesive contact problem with damage and long memory. Zbl 1476.65197
Xuan, Hailing; Cheng, Xiaoliang
2021
Periodic forcing on degenerate Hopf bifurcation. Zbl 1472.34074
Yuan, Qigang; Ren, Jingli
2021
Moran process and Wright-Fisher process favor low variability. Zbl 1466.92130
Rychtář, Jan; Taylor, Dewey T.
2021
Modeling within-host viral dynamics: the role of CTL immune responses in the evolution of drug resistance. Zbl 07360592
Deng, Qi; Qiu, Zhipeng; Guo, Ting; Rong, Libin
2021
Existence and stability of generalized transition waves for time-dependent reaction-diffusion systems. Zbl 1466.35075
Bao, Xiongxiong; Li, Wan-Tong
2021
Evolutionary de Rham-Hodge method. Zbl 1466.58003
Chen, Jiahui; Zhao, Rundong; Tong, Yiying; Wei, Guo-Wei
2021
Convergence of quasilinear parabolic equations to semilinear equations. Zbl 1466.35029
Bezerra, Flank D. M.; Simsen, Jacson; Simsen, Mariza Stefanello
2021
Weak pullback mean random attractors for non-autonomous $$p$$-Laplacian equations. Zbl 1466.35053
Gu, Anhui
2021
On the generalized Burgers-Huxley equation: existence, uniqueness, regularity, global attractors and numerical studies. Zbl 1466.35251
Mohan, Manil T.; Khan, Arbaz
2021
Optimal control of an avian influenza model with multiple time delays in state and control variables. Zbl 1467.92121
Kang, Ting; Zhang, Qimin; Wang, Haiyan
2021
Emergent behaviors of the generalized Lohe matrix model. Zbl 1467.82053
Ha, Seung-Yeal; Park, Hansol
2021
Asymptotics in a two-species chemotaxis system with logistic source. Zbl 1466.35051
Zhang, Wenji; Niu, Pengcheng
2021
Upper semi-continuity of attractors for non-autonomous fractional stochastic parabolic equations with delay. Zbl 1466.35052
Chen, Pengyu; Zhang, Xuping
2021
Lyapunov functions for disease models with immigration of infected hosts. Zbl 1470.34133
McCluskey, Connell
2021
A dynamical theory for singular stochastic delay differential equations. II: Nonlinear equations and invariant manifolds. Zbl 1469.60213
Varzaneh, Mazyar Ghani; Riedel, Sebastian
2021
On an initial and final value problem for fractional nonclassical diffusion equations of Kirchhoff type. Zbl 1466.35362
Tuan, Nguyen Huy
2021
A diffusive weak Allee effect model with U-shaped emigration and matrix hostility. Zbl 1467.35178
Fonseka, Nalin; Goddard II., Jerome; Shivaji, Ratnasingham; Son, Byungjae
2021
Analytic solution to an interfacial flow with kinetic undercooling in a time-dependent gap Hele-Shaw cell. Zbl 1471.35243
Xie, Xuming
2021
Non-autonomous stochastic evolution equations of parabolic type with nonlocal initial conditions. Zbl 1471.34119
Chen, Pengyu; Zhang, Xuping
2021
Local structure-preserving algorithms for the molecular beam epitaxy model with slope selection. Zbl 1476.65182
Lu, Lin; Wang, Qi; Song, Yongzhong; Wang, Yushun
2021
Local well-posedness for the density-dependent incompressible magneto-micropolar system with vacuum. Zbl 1479.35695
Tang, Tong; Sun, Jianzhu
2021
...and 1234 more Documents
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### Cited by 13,589 Authors

 76 Li, Wan-Tong 53 Caraballo Garrido, Tomás 52 Quintanilla de Latorre, Ramón 52 Ruan, Shigui 52 Wang, Bixiang 50 Mu, Chunlai 49 Winkler, Michael 48 Yang, Xiaofeng 43 Teng, Zhi-dong 40 Jiang, Daqing 39 Chen, Lansun 39 Li, Yangrong 39 Yuan, Rong 38 Chung, Tsz Shun Eric 37 Du, Qiang 37 Kloeden, Peter Eris 37 Zhao, Xiao-Qiang 36 Wang, Zhian 35 Carrillo de la Plata, José Antonio 35 Kulenović, Mustafa R. S. 35 Llibre, Jaume 34 Tang, Sanyi 34 Wang, Zhi Cheng 32 Guo, Shangjiang 32 Shi, Junping 29 Kuniya, Toshikazu 29 Valero, José 29 Volpert, Vitaly A. 29 Wang, Jinliang 29 Wang, Mingxin 28 Gao, Hongjun 28 Mao, Xuerong 28 Perthame, Benoît 28 Shen, Wenxian 28 Wu, Shiliang 27 Feng, Zhaosheng 27 Wang, Renhai 27 Yuan, Sanling 27 Zheng, Pan 26 Bellomo, Nicola 26 Garrido-Atienza, María José 26 Huang, Jianhua 26 Miranville, Alain M. 25 Efendiev, Yalchin R. 25 Lin, Guo 25 Lin, Zhigui 24 Huang, Jicai 24 Lou, Yuan 24 Mireles-James, Jason D. 24 Ren, Yong 24 Zhou, Shengfan 23 Chen, Yuming 23 He, Xiaoming 23 Wang, Weiming 23 Zhang, Tonghua 22 Ackleh, Azmy S. 22 Du, Yihong 22 Gardini, Laura 22 Giesl, Peter 22 Kuang, Yang 22 Liu, Shengqiang 22 Liu, Zuhan 22 Ma, Wanbiao 22 Song, Xinyu 22 Sun, Chunyou 22 Yu, Zhixian 22 Zhao, Caidi 22 Zhao, Weidong 21 Hsu, Cheng-Hsiung 21 Liu, Meng 21 Zou, Xingfu 20 Guo, Jong-Shenq 20 Hafstein, Sigurður Freyr 20 He, Yinnian 20 Huo, Hai-Feng 20 Ledzewicz, Urszula 20 Meng, Xinzhu 20 Schmalfuß, Björn 20 Wang, Feng-Bin 20 Wang, Xia 20 Yang, Yu 19 Adimy, Mostafa 19 Al-saedi, Ahmed Eid Salem 19 Cao, Jinde 19 Gu, Anhui 19 Ha, Seung-Yeal 19 Hayat, Tasawar 19 Liu, Qun 19 Qiu, Zhipeng 19 Schättler, Heinz Michael 19 Simó, Carles 19 Tao, Youshan 19 Thieme, Horst R. 19 Wang, Cheng 19 Wang, Liangchen 19 Wei, Junjie 19 Weng, Peixuan 19 Zhou, Ling 18 Chen, Fengde 18 Jang, Sophia R.-J. ...and 13,489 more Authors
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### Cited in 638 Journals

 595 Discrete and Continuous Dynamical Systems. Series B 534 Journal of Differential Equations 489 Journal of Mathematical Analysis and Applications 324 Nonlinear Analysis. Real World Applications 304 Applied Mathematics and Computation 221 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 216 Discrete and Continuous Dynamical Systems 197 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 195 Journal of Computational and Applied Mathematics 194 Journal of Mathematical Biology 176 Advances in Difference Equations 160 ZAMP. Zeitschrift für angewandte Mathematik und Physik 157 Computers & Mathematics with Applications 157 Journal of Computational Physics 156 Physica D 155 Bulletin of Mathematical Biology 150 Mathematical Biosciences and Engineering 149 Chaos, Solitons and Fractals 147 Communications on Pure and Applied Analysis 144 Journal of Theoretical Biology 136 Journal of Scientific Computing 132 Journal of Dynamics and Differential Equations 130 Applied Mathematics Letters 129 Journal of Mathematical Physics 128 Applicable Analysis 120 Communications in Nonlinear Science and Numerical Simulation 116 Mathematical Biosciences 115 Discrete and Continuous Dynamical Systems. Series S 113 International Journal of Biomathematics 110 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 110 Journal of Difference Equations and Applications 108 SIAM Journal on Mathematical Analysis 107 Journal of Biological Dynamics 105 Mathematical Methods in the Applied Sciences 99 Nonlinearity 98 Abstract and Applied Analysis 97 Discrete Dynamics in Nature and Society 93 Applied Numerical Mathematics 88 Journal of Nonlinear Science 82 Nonlinear Dynamics 80 Boundary Value Problems 79 Acta Applicandae Mathematicae 79 Applied Mathematical Modelling 77 SIAM Journal on Applied Dynamical Systems 72 Chaos 71 SIAM Journal on Control and Optimization 71 SIAM Journal on Applied Mathematics 67 Archive for Rational Mechanics and Analysis 61 Journal of Evolution Equations 59 Computer Methods in Applied Mechanics and Engineering 59 Calculus of Variations and Partial Differential Equations 59 Qualitative Theory of Dynamical Systems 55 Automatica 55 Complexity 54 Mathematical and Computer Modelling 53 Mathematics and Computers in Simulation 52 Applied Mathematics and Optimization 52 Celestial Mechanics and Dynamical Astronomy 52 Journal of Mathematical Fluid Mechanics 52 AIMS Mathematics 51 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 49 Mathematical Modelling of Natural Phenomena 48 Journal of Applied Mathematics and Computing 47 Journal of the Franklin Institute 47 Journal of Applied Analysis and Computation 44 Journal de Mathématiques Pures et Appliquées. Neuvième Série 44 Stochastics and Dynamics 44 Electronic Research Archive 42 SIAM Journal on Numerical Analysis 42 Mathematical Problems in Engineering 41 Journal of Statistical Physics 41 Proceedings of the American Mathematical Society 40 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 39 Communications in Mathematical Physics 39 Computational and Applied Mathematics 38 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 38 SIAM Journal on Scientific Computing 38 NoDEA. Nonlinear Differential Equations and Applications 38 Evolution Equations and Control Theory 37 Mathematics of Computation 37 Numerical Algorithms 37 Science China. Mathematics 36 Journal of Optimization Theory and Applications 36 Stochastic Analysis and Applications 35 Physica A 35 Multiscale Modeling & Simulation 34 Kinetic and Related Models 33 Comptes Rendus. Mathématique. Académie des Sciences, Paris 33 Communications in Computational Physics 33 Nonlinear Analysis. Hybrid Systems 32 International Journal of Control 32 Journal of Functional Analysis 32 International Journal of Computer Mathematics 32 Stochastic Processes and their Applications 31 Regular and Chaotic Dynamics 31 Mediterranean Journal of Mathematics 30 Communications in Partial Differential Equations 30 Mathematical Control and Related Fields 29 Transactions of the American Mathematical Society 29 European Journal of Applied Mathematics ...and 538 more Journals
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