## Nonlinear Analysis. Real World Applications

### An International Multidisciplinary Journal

 Short Title: Nonlinear Anal., Real World Appl. Publisher: Elsevier (Pergamon), Amsterdam ISSN: 1468-1218 Online: http://www.sciencedirect.com/science/journal/14681218 Predecessor: Nonlinear Analysis. Theory, Methods & Applications Comments: Indexed cover-to-cover
 Documents Indexed: 3,397 Publications (since 2000) References Indexed: 3,238 Publications with 85,658 References.
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### Authors

 40 Hayat, Tasawar 23 Cao, Jinde 20 Chen, Fengde 19 Li, Wan-Tong 19 Teng, Zhi-dong 19 Tian, Lixin 18 Huang, Lihong 17 Lin, Zhigui 17 Migórski, Stanisław 16 Chen, Lansun 15 Wu, Jianhua 14 Mahomed, Fazal M. 13 Wang, Mingxin 12 Capasso, Vincenzo 12 Liao, Xiaofeng 12 Wei, Junjie 12 Yin, Zhaoyang 11 Antonelli, Peter Louis 11 Muroya, Yoshiaki 11 Yuan, Rong 10 Asghar, Saleem 10 Guo, Shangjiang 10 Liu, Bingwen 10 Xu, Rui 9 Málek, Josef 9 Mu, Chunlai 9 O’Regan, Donal 9 Qi, Haitao 9 Rutz, Solange F. 9 Shukla, Jang Bahadur 9 Sofonea, Mircea 9 Takeuchi, Yasuhiro 9 Tan, Zhong 9 Weng, Peixuan 9 Yan, Xiangping 9 Zhou, Yong 8 Dai, Binxiang 8 Diaz Diaz, Jesus Ildefonso 8 Fetecau, Constantin 8 Jiang, Jifa 8 Khalique, Chaudry Masood 8 Li, Yeping 8 Li, Zhong 8 Llibre, Jaume 8 Lu, Shiping 8 Nie, Hua 8 Qin, Yuming 8 Rajagopal, Kumbakonam Ramamani 8 Tachim Medjo, Theodore 8 Valls Anglés, Cláudia 8 Wang, Weiming 8 Wang, Zhi Cheng 8 Yin, Jingxue 8 Zheng, Sining 7 Ahmad, Bashir 7 Ahmad, Shair 7 Aniţa, Sebastian 7 Cai, Yongli 7 Chen, Xiaoxing 7 Fu, Shengmao 7 Galiano Casas, Gonzalo 7 Giné, Jaume 7 González-Olivares, Eduardo 7 Guan, Zhihong 7 Han, Weimin 7 Khan, Masood Amjad 7 Lin, Guo 7 Liu, Bingchen 7 Liu, Zuhan 7 Ma, Changfeng 7 Nakata, Yukihiko 7 Papageorgiou, Nikolaos S. 7 Rădulescu, Vicenţiu D. 7 Wang, Ke 7 Wang, Yifu 7 Wei, Xuemei 7 Wu, Shiliang 7 Zeng, Shengda 7 Zhang, Cunhua 7 Zhao, Hongyong 6 Agarwal, Ravi P. 6 Banks, Harvey Thomas 6 Bulíček, Miroslav 6 Cabada, Alberto 6 Chandra, Peeyush 6 Cui, Shangbin 6 Duan, Jinqiao 6 Eshima, Nobuoki 6 Fan, Jishan 6 Feng, Enmin 6 Fetecau, Corina 6 Gao, Hongjun 6 Guo, Songtao 6 Han, Maoan 6 Hsu, Hung-Chu 6 Le Thi Phuong Ngoc 6 Li, Tao 6 Li, Yongkun 6 Liu, Qiao 6 López-Gómez, Julián ...and 4,614 more Authors
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### Fields

 1,727 Partial differential equations (35-XX) 1,108 Biology and other natural sciences (92-XX) 953 Ordinary differential equations (34-XX) 557 Fluid mechanics (76-XX) 318 Dynamical systems and ergodic theory (37-XX) 205 Systems theory; control (93-XX) 185 Mechanics of deformable solids (74-XX) 144 Numerical analysis (65-XX) 140 Calculus of variations and optimal control; optimization (49-XX) 128 Operator theory (47-XX) 116 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 84 Classical thermodynamics, heat transfer (80-XX) 70 Operations research, mathematical programming (90-XX) 67 Mechanics of particles and systems (70-XX) 63 Statistical mechanics, structure of matter (82-XX) 61 Probability theory and stochastic processes (60-XX) 56 Geophysics (86-XX) 55 Computer science (68-XX) 51 Integral equations (45-XX) 41 Optics, electromagnetic theory (78-XX) 37 Difference and functional equations (39-XX) 35 Information and communication theory, circuits (94-XX) 34 Differential geometry (53-XX) 34 Global analysis, analysis on manifolds (58-XX) 25 Statistics (62-XX) 21 Quantum theory (81-XX) 18 Real functions (26-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 12 Relativity and gravitational theory (83-XX) 11 Functional analysis (46-XX) 9 Measure and integration (28-XX) 8 Integral transforms, operational calculus (44-XX) 8 Astronomy and astrophysics (85-XX) 6 Combinatorics (05-XX) 5 General and overarching topics; collections (00-XX) 5 Special functions (33-XX) 4 Functions of a complex variable (30-XX) 4 Manifolds and cell complexes (57-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Potential theory (31-XX) 2 Mathematical logic and foundations (03-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX)

### Citations contained in zbMATH Open

2,887 Publications have been cited 35,780 times in 23,390 Documents Cited by Year
Nonlocal Cauchy problem for fractional evolution equations. Zbl 1260.34017
Zhou, Yong; Jiao, Feng
2010
Variational approach to impulsive differential equations. Zbl 1167.34318
Nieto, Juan J.; O’Regan, Donal
2009
A class of fractional evolution equations and optimal controls. Zbl 1214.34010
Wang, Jinrong; Zhou, Yong
2011
Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in $$\mathbb R^N$$. Zbl 1208.35034
Wu, Xian
2011
Complete global stability for an SIR epidemic model with delay - distributed or discrete. Zbl 1185.37209
McCluskey, C. Connell
2010
Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay. Zbl 1104.92065
Nindjin, A. F.; Aziz-Alaoui, M. A.; Cadivel, M.
2006
A delayed epidemic model with stage-structure and pulses for pest management strategy. Zbl 1154.34394
Zhang, Hong; Chen, Lansun; Nieto, Juan J.
2008
A study of nonlinear Langevin equation involving two fractional orders in different intervals. Zbl 1238.34008
Ahmad, Bashir; Nieto, Juan J.; Alsaedi, Ahmed; El-Shahed, Moustafa
2012
Strong solution to the compressible magnetohydrodynamic equations with vacuum. Zbl 1154.76389
Fan, Jishan; Yu, Wanghui
2009
Existence and controllability results for fractional semilinear differential inclusions. Zbl 1231.34108
Wang, Jinrong; Zhou, Yong
2011
Diffusion-driven instability and bifurcation in the Lengyel-Epstein system. Zbl 1146.35384
Yi, Fengqi; Wei, Junjie; Shi, Junping
2008
Predator-prey dynamics with square root functional responses. Zbl 1254.92072
Braza, Peter A.
2012
Modeling herd behavior in population systems. Zbl 1225.49037
Ajraldi, Valerio; Pittavino, Marta; Venturino, Ezio
2011
Entire solutions in the Fisher-KPP equation with nonlocal dispersal. Zbl 1196.35015
Li, Wan-Tong; Sun, Yu-Juan; Wang, Zhi-Cheng
2010
The dynamical behavior of a Lotka-Volterra predator-prey model concerning integrated pest management. Zbl 1082.34039
Liu, Bing; Zhang, Yujuan; Chen, Lansun
2005
Global properties of a class of HIV models. Zbl 1197.34073
Elaiw, A. M.
2010
Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations. Zbl 1248.34004
Agarwal, Ravi P.; de Andrade, Bruno; Cuevas, Claudio
2010
Bifurcation and chaotic behavior of a discrete-time predator-prey system. Zbl 1202.93038
He, Zhimin; Lai, Xin
2011
Global stability of multi-group SEIR epidemic models with distributed delays and nonlinear transmission. Zbl 1254.92085
Shu, Hongying; Fan, Dejun; Wei, Junjie
2012
Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions. Zbl 1154.34311
2008
Chaotic dynamics of a discrete prey-predator model with Holling type II. Zbl 1154.37335
Agiza, H. N.; Elabbasy, E. M.; El-Metwally, H.; Elsadany, A. A.
2009
Global stability of a SIR epidemic model with nonlinear incidence rate and time delay. Zbl 1183.34131
Xu, Rui; Ma, Zhien
2009
The dynamics of an epidemic model for pest control with impulsive effect. Zbl 1188.93038
Wang, Limin; Chen, Lansun; Nieto, Juan J.
2010
An application of variational methods to Dirichlet boundary value problem with impulses. Zbl 1191.34039
Zhang, Ziheng; Yuan, Rong
2010
A non-local delayed and diffusive predator-prey model. Zbl 1113.92319
Thieme, Horst R.; Zhao, Xiao-Qiang
2001
Dynamics of an SIR epidemic model with limited medical resources revisited. Zbl 1238.37041
Zhou, Linhua; Fan, Meng
2012
Global exponential stability for BAM neural networks with time-varying delays in the leakage terms. Zbl 1260.34138
Liu, Bingwen
2013
Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate. Zbl 1144.34374
Kyrychko, Yuliya N.; Blyuss, Konstantin B.
2005
Solutions of incompressible hydrodynamic flow of liquid crystals. Zbl 1402.76021
Wen, Huanyao; Ding, Shijin
2011
Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis. Zbl 1195.35171
Tao, Youshan
2010
Dynamical analysis of toxin producing Phytoplankton-Zooplankton interactions. Zbl 1154.37384
2009
A reaction-diffusion system modeling predator-prey with prey-taxis. Zbl 1156.35404
Ainseba, Bedr’eddine; Bendahmane, Mostafa; Noussair, Ahmed
2008
Optimal impulsive harvesting policy for single population. Zbl 1011.92052
Zhang, Xiaoying; Shuai, Zhisheng; Wang, Ke
2003
The Rayleigh–Stokes problem for a heated generalized second-grade fluid with fractional derivative model. Zbl 1113.76016
Shen, Fang; Tan, Wenchang; Zhao, Yaohua; Masuoka, Takashi
2006
Global stability for an SIR epidemic model with delay and nonlinear incidence. Zbl 1197.34166
McCluskey, C. Connell
2010
Existence of periodic solutions in predator-prey and competition dynamic systems. Zbl 1104.92057
Bohner, Martin; Fan, Meng; Zhang, Jimin
2006
Dynamic behaviors of the periodic predator-prey model with modified Leslie-Gower Holling-type II schemes and impulsive effect. Zbl 1142.34031
Song, Xinyu; Li, Yongfeng
2008
Global weak solutions in a chemotaxis system with large singular sensitivity. Zbl 1268.35072
Stinner, Christian; Winkler, Michael
2011
Global analysis of an SIS model with an infective vector on complex networks. Zbl 1238.92042
Wang, Yi; Jin, Zhen; Yang, Zimo; Zhang, Zi-Ke; Zhou, Tao; Sun, Gui-Quan
2012
Pattern formation driven by cross-diffusion in a 2D domain. Zbl 1270.35088
Gambino, G.; Lombardo, M. C.; Sammartino, M.
2013
Stability of Markovian jump neural networks with impulse control and time varying delays. Zbl 1254.93157
Zhu, Quanxin; Cao, Jinde
2012
A novel computer virus model and its dynamics. Zbl 1238.34076
Ren, Jianguo; Yang, Xiaofan; Zhu, Qingyi; Yang, Lu-Xing; Zhang, Chunming
2012
The effect of vaccines on backward bifurcation in a fractional order HIV model. Zbl 1371.92080
Huo, Jingjing; Zhao, Hongyong; Zhu, Linhe
2015
$$p$$-fractional Kirchhoff equations involving critical nonlinearities. Zbl 1372.35335
Fiscella, Alessio; Pucci, Patrizia
2017
A free boundary problem of a predator-prey model with higher dimension and heterogeneous environment. Zbl 1296.35220
Zhao, Jingfu; Wang, Mingxin
2014
Robust stability for stochastic Hopfield neural networks with time delays. Zbl 1122.34065
Wang, Zidong; Shu, Huisheng; Fang, Jian’an; Liu, Xiaohui
2006
The permanence and global attractivity of Lotka–Volterra competition system with feedback controls. Zbl 1103.34038
Chen, Fengde
2006
Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a constant prey refuge. Zbl 1186.34062
Chen, Liujuan; Chen, Fengde; Chen, Lijuan
2010
Synchronization of delayed complex dynamical networks with impulsive and stochastic effects. Zbl 1223.37115
Yang, Xinsong; Cao, Jinde; Lu, Jianquan
2011
Multiple solutions for the nonhomogeneous Kirchhoff equation on $$\mathbb R^N$$. (Multiple solutions for the nonhomogeneous Kirchhoff equation on $$\mathbf R^N$$.) Zbl 1335.74024
Chen, Shangjie; Li, Lin
2013
Global properties of an improved hepatitis B virus model. Zbl 1197.34081
Wang, Kaifa; Fan, Aijun; Torres, Angela
2010
Mathematical analysis of a virus dynamics model with general incidence rate and cure rate. Zbl 1254.92065
Hattaf, Khalid; Yousfi, Noura; Tridane, Abdessamad
2012
Global stability of a diffusive virus dynamics model with general incidence function and time delay. Zbl 1371.92118
Connell McCluskey, C.; Yang, Yu
2015
The homotopy analysis method to solve the Burgers-Huxley equation. Zbl 1167.35483
Molabahrami, A.; Khani, F.
2009
Variational iteration method for fractional heat- and wave-like equations. Zbl 1172.35302
R, Yulita Molliq; Noorani, M. S. M.; Hashim, I.
2009
A note on partial functional differential equations with state-dependent delay. Zbl 1109.34060
Hernández, Eduardo; Prokopczyk, Andréa; Ladeira, Luiz
2006
On an aggregation model with long and short range interactions. Zbl 1188.92040
Burger, Martin; Capasso, Vincenzo; Morale, Daniela
2007
Multiple solutions for a class of fractional Schrödinger equations in $$\mathbb{R}^N$$. Zbl 1302.35415
Teng, Kaimin
2015
Existence and uniqueness of the solution for the bidomain model used in cardiac electrophysiology. Zbl 1154.35370
Bourgault, Yves; Coudière, Yves; Pierre, Charles
2009
On a Leslie-Gower predator-prey model incorporating a prey refuge. Zbl 1167.92032
Chen, Fengde; Chen, Liujuan; Xie, Xiangdong
2009
Stability and bifurcation analysis in a predator-prey system with Michaelis-Menten type predator harvesting. Zbl 1352.92125
Hu, Dongpo; Cao, Hongjun
2017
Global dynamics of a mathematical model for HTLV-I infection of $$CD4^{+}T$$ cells with delayed CTL response. Zbl 1239.34086
Li, Michael Y.; Shu, Hongying
2012
Stability and bifurcation analysis of a discrete predator-prey model with nonmonotonic functional response. Zbl 1215.92063
Hu, Zengyun; Teng, Zhidong; Zhang, Long
2011
Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations. Zbl 1263.92042
Yang, Qingshan; Mao, Xuerong
2013
Stability analysis in a class of discrete SIRS epidemic models. Zbl 1254.92082
Hu, Zengyun; Teng, Zhidong; Jiang, Haijun
2012
Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect. Zbl 1160.92038
Aguirre, Pablo; González-Olivares, Eduardo; Sáez, Eduardo
2009
An exploration of combined dynamic derivatives on time scales and their applications. Zbl 1114.26004
Sheng, Q.; Fadag, M.; Henderson, J.; Davis, J. M.
2006
Multiple periodic solutions of delayed predator–prey systems with type IV functional responses. Zbl 1066.92050
Chen, Yuming
2004
Global exponential stability results for neutral-type impulsive neural networks. Zbl 1186.34101
Rakkiyappan, R.; Balasubramaniam, P.; Cao, Jinde
2010
Analysis of an age structured HIV infection model with virus-to-cell infection and cell-to-cell transmission. Zbl 1352.92174
Wang, Jinliang; Lang, Jiying; Zou, Xingfu
2017
Regularity criteria for the 3D MHD equations involving partial components. Zbl 1239.35032
Jia, Xuanji; Zhou, Yong
2012
On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry. Zbl 1293.34047
Llibre, Jaume; Ordóñez, Manuel; Ponce, Enrique
2013
Modelling and analysis of a prey-predator system with stage-structure and harvesting. Zbl 1152.34374
Kar, T. K.; Pahari, U. K.
2007
Existence, uniqueness and stability analysis of recurrent neural networks with time delay in the leakage term under impulsive perturbations. Zbl 1205.34108
Li, Xiaodi; Fu, Xilin; Balasubramaniam, P.; Rakkiyappan, R.
2010
Stability of $$q$$-fractional non-autonomous systems. Zbl 1258.34014
2013
Application of He’s homotopy perturbation method for non-linear system of second-order boundary value problems. Zbl 1162.34307
Saadatmandi, Abbas; Dehghan, Mehdi; Eftekhari, Ali
2009
Global exponential stability of impulsive Cohen-Grossberg neural network with time-varying delays. Zbl 1142.34046
Song, Qiankun; Zhang, Jiye
2008
Bifurcation analysis in a predator - prey system with time delay. Zbl 1085.92052
Song, Yongli; Yuan, Sanling
2006
Single impulsive controller for globally exponential synchronization of dynamical networks. Zbl 1254.93133
Lu, Jianquan; Ho, Daniel W. C.; Cao, Jinde; Kurths, Jürgen
2013
Reaction-diffusion systems for the macroscopic bidomain model of the cardiac electric field. Zbl 1167.35403
Veneroni, Marco
2009
Qualitative analysis of a predator-prey model with constant-rate prey harvesting incorporating a constant prey refuge. Zbl 1203.34070
Ji, Lili; Wu, Chengqiang
2010
Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions. Zbl 1239.44001
Kaslik, Eva; Sivasundaram, Seenith
2012
A delay SIR epidemic model with pulse vaccination and incubation times. Zbl 1184.92044
Meng, Xinzhu; Chen, Lansun; Wu, Bo
2010
Permanence and extinction of periodic predator–prey systems in a patchy environment with delay. Zbl 1018.92033
Teng, Zhidong; Chen, Lansun
2003
Function projective synchronization for fractional-order chaotic systems. Zbl 1209.34065
Zhou, Ping; Zhu, Wei
2011
A computer virus model with graded cure rates. Zbl 1258.68020
Yang, Lu-Xing; Yang, Xiaofan; Zhu, Qingyi; Wen, Luosheng
2013
Dynamics of a new Lorenz-like chaotic system. Zbl 1202.34083
Liu, Yongjian; Yang, Qigui
2010
Stability and periodicity in delayed cellular neural networks with impulsive effects. Zbl 1115.34072
Yang, Yongqing; Cao, Jinde
2007
Iterative methods for generalized equilibrium problems and fixed point problems with applications. Zbl 1192.58010
Qin, Xiaolong; Chang, Shih-Sen; Cho, Yeol Je
2010
Global stability of humoral immunity virus dynamics models with nonlinear infection rate and removal. Zbl 1371.92077
Elaiw, A. M.; AlShamrani, N. H.
2015
Exponential stability of artificial neural networks with distributed delays and large impulses. Zbl 1154.34042
Mohamad, Sannay; Gopalsamy, K.; Akça, Haydar
2008
Reaction terms avoiding aggregation in slow fluids. Zbl 1302.35102
Espejo, Elio; Suzuki, Takashi
2015
Further results on robust stability of neutral system with mixed time-varying delays and nonlinear perturbations. Zbl 1187.37124
Qiu, Fang; Cui, Baotong; Ji, Yan
2010
Stability and dissipativity theory for nonnegative dynamical systems: a unified analysis framework for biological and physiological systems. Zbl 1074.93030
2005
Global existence for a haptotaxis model of cancer invasion with tissue remodeling. Zbl 1205.35144
Tao, Youshan
2011
$$p$$th moment exponential stability of stochastic recurrent neural networks with time-varying delays. Zbl 1196.60125
Sun, Yonghui; Cao, Jinde
2007
Existence of solutions for Kirchhoff type problems with critical nonlinearity in $$\mathbb R^3$$. Zbl 1302.35031
Liang, Sihua; Zhang, Jihui
2014
Stability and Hopf bifurcation in a diffusive predator-prey system with delay effect. Zbl 1221.35053
Zuo, Wenjie; Wei, Junjie
2011
Harvesting of a phytoplankton-zooplankton model. Zbl 1211.34059
Lv, Yunfei; Pei, Yongzhen; Gao, Shujing; Li, Changguo
2010
A note on the global behaviour of the network-based SIS epidemic model. Zbl 1154.34355
d’Onofrio, Alberto
2008
Weak solutions in nonlinear poroelasticity with incompressible constituents. Zbl 07544579
Bociu, Lorena; Muha, Boris; Webster, Justin T.
2022
Human-vector malaria transmission model structured by age, time since infection and waning immunity. Zbl 1480.92212
Richard, Quentin; Choisy, Marc; Lefèvre, Thierry; Djidjou-Demasse, Ramsès
2022
Propagation fronts in a simplified model of tumor growth with degenerate cross-dependent self-diffusivity. Zbl 1483.35066
2022
Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments. Zbl 1479.35224
Winkler, Michael
2022
On viscous incompressible flows of nonsymmetric fluids with mixed boundary conditions. Zbl 1482.76012
Beneš, Michal; Pažanin, Igor; Radulović, Marko
2022
Local well-posedness of incompressible viscous fluids in bounded cylinders with $$90^\circ$$-contact angle. Zbl 1482.35160
Watanabe, Keiichi
2022
Leray-Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress-strain relation. Zbl 1481.35310
Eiter, Thomas; Hopf, Katharina; Mielke, Alexander
2022
Predator invasion in predator-prey model with prey-taxis in spatially heterogeneous environment. Zbl 1486.92150
Choi, Wonhyung; Ahn, Inkyung
2022
Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks. Zbl 07488963
Shcherbakov, Viktor
2022
Well-posedness and stability results for the Korteweg-de Vries-Burgers and Kuramoto-Sivashinsky equations with infinite memory: a history approach. Zbl 1482.35203
Chentouf, Boumediène; Guesmia, Aissa
2022
Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity. Zbl 1491.35035
Ding, Hang; Zhou, Jun
2022
Large time behavior in a fractional chemotaxis-Navier-Stokes system with logistic source. Zbl 07446109
Lei, Yuzhu; Liu, Zuhan; Zhou, Ling
2022
Iso-bispectral potentials for Sturm-Liouville-type operators with small delay. Zbl 1484.34166
Djurić, Nebojša; Buterin, Sergey
2022
Optimal decay rate of the two-fluid incompressible Navier-Stokes-Fourier-Poisson system with Ohm’s law. Zbl 07446112
Gong, Weihua; Zhou, Fujun; Wu, Weijun; Hu, Qian
2022
Blow-up in a quasilinear parabolic-elliptic Keller-Segel system with logistic source. Zbl 1480.35064
Tanaka, Yuya
2022
A multiscale quasilinear system for colloids deposition in porous media: weak solvability and numerical simulation of a near-clogging scenario. Zbl 1479.35222
Eden, Michael; Nikolopoulos, Christos; Muntean, Adrian
2022
Global existence of bounded solutions to the relativistic BGK model. Zbl 07446122
Hwang, Byung-Hoon
2022
Asymptotic stability of viscous contact wave for the inflow problem of the heat-conductive ideal gas without viscosity. Zbl 07446124
Hou, Meichen; Fan, Lili
2022
Global well-posedness and inviscid limits of the generalized Oldroyd type models. Zbl 07446127
Zhai, Xiaoping; Dan, Yuanyuan; Li, Yongsheng
2022
Pullback attractors for a critical degenerate wave equation with time-dependent damping. Zbl 1479.35129
Li, Dandan; Chang, Qingquan; Sun, Chunyou
2022
Stability of Hartmann shear flows in an open inclined channel. Zbl 1480.76047
Falsaperla, Paolo; Mulone, Giuseppe; Perrone, Carla
2022
Minimax principles for elliptic mixed hemivariational-variational inequalities. Zbl 1479.49015
Han, Weimin; Matei, Andaluzia
2022
Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields. Zbl 1490.34029
Corbera, Montserrat; Valls, Claudia
2022
Resonant double phase equations. Zbl 1479.35291
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Zhang, Youpei
2022
Hamiltonian regularisation of the unidimensional barotropic Euler equations. Zbl 07446161
Guelmame, Billel; Clamond, Didier; Junca, Stéphane
2022
Forced waves and gap formations for a Lotka-Volterra competition model with nonlocal dispersal and shifting habitats. Zbl 1453.92268
Wang, Jia-Bing; Wu, Chufen
2021
On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects. Zbl 1456.35091
Garcke, Harald; Lam, Kei Fong; Signori, Andrea
2021
A geometric analysis of the SIR, SIRS and SIRWS epidemiological models. Zbl 1469.34065
Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian; Pugliese, Andrea; Sensi, Mattia
2021
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation. Zbl 1468.35220
Winkler, Michael
2021
Improvement on the blow-up of the wave equation with the scale-invariant damping and combined nonlinearities. Zbl 1464.35043
Hamouda, Makram; Hamza, Mohamed Ali
2021
Boundedness and stabilization enforced by mild saturation of taxis in a producer-scrounger model. Zbl 1459.92018
Cao, Xinru; Tao, Youshan
2021
On the Cauchy problem for semilinear regularity-loss-type $$\sigma$$-evolution models with memory term. Zbl 1468.35197
Chen, Wenhui; Dao, Tuan Anh
2021
Bifurcation and stability of a two-species reaction-diffusion-advection competition model. Zbl 1464.35017
Ma, Li; Guo, Shangjiang
2021
Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity. Zbl 1481.35286
Chen, Wenhui; Lucente, Sandra; Palmieri, Alessandro
2021
Global boundedness in a chemotaxis quasilinear parabolic predator-prey system with pursuit-evasion. Zbl 1464.35145
Telch, Bruno
2021
Solitary wave solutions of a Whitham-Boussinesq system. Zbl 1468.35132
Dinvay, E.; Nilsson, D.
2021
The Picone identity: a device to get optimal uniqueness results and global dynamics in population dynamics. Zbl 1472.35399
Fernández-Rincón, Sergio; López-Gómez, Julián
2021
Global boundedness and stability of solutions for prey-taxis model with handling and searching predators. Zbl 07348675
Ren, Guoqiang; Shi, Yu
2021
Consequences of refuge and diffusion in a spatiotemporal predator-prey model. Zbl 1464.35021
Han, Renji; Guin, Lakshmi Narayan; Dai, Binxiang
2021
Global existence of solutions to the Cauchy problem of a two dimensional attraction-repulsion chemotaxis system. Zbl 1472.35214
Shi, Renkun; You, Guoqiao
2021
Stabilization in a two dimensional two-species aerotaxis-Navier-Stokes system. Zbl 1465.35057
Jeong, Eunji; Kim, Junha; Lee, Jihoon
2021
Global dynamics of a two-species chemotaxis-consumption system with signal-dependent motilities. Zbl 1473.35605
Qiu, Shuyan; Mu, Chunlai; Tu, Xinyu
2021
Existence and uniqueness of forced waves in a delayed reaction-diffusion equation in a shifting environment. Zbl 1454.35220
Wu, Chufen; Yang, Yong; Wu, Zehao
2021
Mathematical analysis and application of a cholera transmission model with waning vaccine-induced immunity. Zbl 1453.92288
Bai, Ning; Song, Chenwei; Xu, Rui
2021
The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary. Zbl 1478.35167
Farwig, Reinhard; Kozono, Hideo; Tsuda, Kazuyuki; Wegmann, David
2021
Global existence and asymptotic behavior of a two-species competitive Keller-Segel system on $$\mathbb{R}^N$$. Zbl 1481.92024
Wang, Yizhuo; Guo, Shangjiang
2021
A class of history-dependent systems of evolution inclusions with applications. Zbl 1464.74127
Migórski, Stanisław
2021
Dynamics of a competing two-strain SIS epidemic model with general infection force on complex networks. Zbl 1466.92175
Cheng, Xinxin; Wang, Yi; Huang, Gang
2021
Turing patterns and spatiotemporal patterns in a tritrophic food chain model with diffusion. Zbl 1466.92224
Fu, Shengmao; He, Xue; Zhang, Lina; Wen, Zijuan
2021
Regularity criterion for weak solutions to the 3D Navier-Stokes equations via two vorticity components in $$B M O^{- 1}$$. Zbl 1468.35113
O, Chol-Jun
2021
Local cyclicity in low degree planar piecewise polynomial vector fields. Zbl 1477.34060
Gouveia, Luiz F. S.; Torregrosa, Joan
2021
On the role of pressure in the theory of MHD equations. Zbl 1465.76112
Neustupa, Jiří; Yang, Minsuk
2021
Spatial dynamics of the lattice Lotka-Volterra competition system in a shifting habitat. Zbl 1464.35034
Meng, Yanling; Yu, Zhixian; Zhang, Shengqiang
2021
Mathematical analysis of an age-structured HIV/AIDS epidemic model with HAART and spatial diffusion. Zbl 1469.92131
Wu, Peng; Zhao, Hongyong
2021
An improved spatially controlled reaction-diffusion equation with a non-linear second order operator for image super-resolution. Zbl 1478.94043
2021
Global existence of solutions to a parabolic attraction-repulsion chemotaxis system in $$\mathbb{R}^2$$: the attractive dominant case. Zbl 1475.92034
Nagai, Toshitaka; Seki, Yukihiro; Yamada, Tetsuya
2021
Bifurcation of limit cycles by perturbing piecewise non-Hamiltonian systems with nonlinear switching manifold. Zbl 1458.37061
Ramirez, O.; Alves, A. M.
2021
Strong solutions to the inhomogeneous Navier-Stokes-BGK system. Zbl 1455.35170
Choi, Young-Pil; Lee, Jaeseung; Yun, Seok-Bae
2021
Dynamics of an intraguild predation food web model with strong Allee effect in the basal prey. Zbl 1453.92339
Bai, Dingyong; Kang, Yun; Ruan, Shigui; Wang, Lisha
2021
An optimal regularity criterion for the Navier-Stokes equations proved by a blow-up argument. Zbl 1455.35177
Skalak, Zdenek
2021
Robin double-phase problems with singular and superlinear terms. Zbl 1455.35125
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
2021
Propagation dynamics of a three-species nonlocal competitive-cooperative system. Zbl 1454.35046
Zhang, Li; Bao, Xiongxiong
2021
Traveling waves for a discrete diffusive SIR epidemic model with treatment. Zbl 1478.92190
Deng, Dong; Zhang, Dongpei
2021
Global bifurcation in a toxin producing phytoplankton-zooplankton system with prey-taxis. Zbl 1482.92076
Peng, Yahong; Li, Yujing; Zhang, Tonghua
2021
Global existence of weak solutions to a signal-dependent Keller-Segel model for local sensing chemotaxis. Zbl 1481.92021
Li, Haixia; Jiang, Jie
2021
Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier-Stokes-Fourier fluid and a damped plate equation. Zbl 1465.74051
Maity, Debayan; Takahashi, Takéo
2021
Local well-posedness for the inhomogeneous nonlinear Schrödinger equation in $$H^s ( \mathbb{R}^n )$$. Zbl 1468.35183
An, JinMyong; Kim, JinMyong
2021
Global weak solutions to an oncolytic viral therapy model with doubly haptotactic terms. Zbl 1466.92083
Tao, Xueyan
2021
Multi-component Gerdjikov-Ivanov system and its Riemann-Hilbert problem under zero boundary conditions. Zbl 1468.35103
Zhang, Yong; Dong, Huan-He
2021
Decay estimates for three-dimensional Navier-Stokes equations with damping. Zbl 1472.35274
Zhao, Xiaopeng
2021
Rigorous derivation and well-posedness of a quasi-homogeneous ideal MHD system. Zbl 1464.35216
Cobb, Dimitri; Fanelli, Francesco
2021
The existence and linear stability of periodic solution for a free boundary problem modeling tumor growth with a periodic supply of external nutrients. Zbl 1467.37089
He, Wenhua; Xing, Ruixiang
2021
Dynamics and patterns of species abundance in ocean: a mathematical modeling study. Zbl 1464.35368
Kumari, Sarita; Upadhyay, Ranjit Kumar; Kumar, Pramod; Rai, Vikas
2021
A mathematical model for Lassa fever transmission dynamics in a seasonal environment with a view to the 2017–20 epidemic in Nigeria. Zbl 1468.37064
Ibrahim, Mahmoud A.; Dénes, Attila
2021
The impact of Wolbachia on dengue transmission dynamics in an SEI-SIS model. Zbl 1475.92179
Li, Yazhi; Liu, Lili
2021
Qualitative analysis on an SIRS reaction-diffusion epidemic model with saturation infection mechanism. Zbl 1475.92178
Liu, Chuanxin; Cui, Renhao
2021
Existence of a fundamental solution of partial differential equations associated to Asian options. Zbl 1475.91348
Anceschi, Francesca; Muzzioli, Silvia; Polidoro, Sergio
2021
Stabilization to a positive equilibrium for some reaction-diffusion systems. Zbl 1475.92127
Guo, Jong-Shenq; Shimojo, Masahiko
2021
Time periodic reaction-diffusion equations for modeling 2-LTR dynamics in HIV-infected patients. Zbl 1453.92325
Wang, Wei; Wang, Xiunan; Feng, Zhaosheng
2021
Blow-up for Strauss type wave equation with damping and potential. Zbl 1456.35045
Dai, Wei; Kubo, Hideo; Sobajima, Motohiro
2021
Limit cycles and global dynamics of planar piecewise linear refracting systems of focus-focus type. Zbl 1457.34031
Liang, Haihua; Li, Shimin; Zhang, Xiang
2021
Blow-up analysis of solutions for weakly coupled degenerate parabolic systems with nonlinear boundary conditions. Zbl 1481.35082
Ding, Juntang
2021
Generalized penalty method for history-dependent variational-hemivariational inequalities. Zbl 1480.49015
Sofonea, Mircea; Xiao, Yi-bin; Zeng, Sheng-da
2021
Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network. Zbl 1480.92046
Fritz, Marvin; Jha, Prashant K.; Köppl, Tobias; Oden, J. Tinsley; Wohlmuth, Barbara
2021
Global dynamics of a reaction-diffusion malaria model. Zbl 07457486
Xin, Ming-Zhen; Wang, Bin-Guo
2021
Limit cycle bifurcations of planar piecewise differential systems with three zones. Zbl 1478.34042
Xiong, Yanqin; Wang, Cheng
2021
Analysis and control of stationary inclusions in contact mechanics. Zbl 1483.35259
Sofonea, Mircea
2021
Competitive exclusion in a nonlocal reaction-diffusion-advection model of phytoplankton populations. Zbl 1481.35056
Jiang, Danhua; Lam, King-Yeung; Lou, Yuan
2021
Stability of rarefaction wave for isentropic compressible Navier-Stokes-Maxwell equations. Zbl 1464.76039
Luo, Fangqi; Yao, Huancheng; Zhu, Changjiang
2021
Weak solutions to a model with elasticity energy for electrochemically induced phase transitions in lithium-ion batteries. Zbl 1464.74132
Cheng, Fang; Hu, Ye; Zhao, Lixian
2021
Boundedness and finite-time blow-up in a chemotaxis system with nonlinear signal production. Zbl 1468.35218
Wang, Wanwan; Li, Yuxiang
2021
Zero-Hopf bifurcation in a 3D jerk system. Zbl 1472.34070
Braun, Francisco; Mereu, Ana C.
2021
Global conservative solution for the periodic dispersive Hunter-Saxton equation. Zbl 1464.35060
Ye, Weikui; Yin, Zhaoyang
2021
Analysis on a diffusive multiple Allee effects predator-prey model induced by fear factors. Zbl 1464.35018
Shi, Yao; Wu, Jianhua; Cao, Qian
2021
Invasion entire solutions for two-species diffusive monostable competitive systems. Zbl 1464.35011
Salako, Rachidi B.
2021
Quasi-neutral limit and the initial layer problem of the electro-diffusion model arising in electro-hydrodynamics. Zbl 1468.35151
Wang, Shu; Jiang, Limin
2021
A threshold policy to curb WNV transmission to birds with seasonality. Zbl 1468.34075
Zhou, Weike; Xiao, Yanni; Heffernan, Jane M.
2021
Limit cycles of discontinuous piecewise differential systems formed by linear centers in $$\mathbb{R}^2$$ and separated by two circles. Zbl 1468.34021
Anacleto, Maria Elisa; Llibre, Jaume; Valls, Claudia; Vidal, Claudio
2021
Modelling silicosis: existence, uniqueness and basic properties of solutions. Zbl 1468.34063
da Costa, Fernando P.; Pinto, João T.; Sasportes, Rafael
2021
Asymptotic property of singular solutions in some nonstandard parabolic equation. Zbl 1467.76064
Wang, Yuxi; Liu, Bingchen; Sun, Yurou
2021
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### Cited by 20,873 Authors

 169 Cao, Jinde 161 Teng, Zhi-dong 160 Hayat, Tasawar 135 Al-saedi, Ahmed Eid Salem 103 Li, Wan-Tong 102 Chen, Fengde 92 Jiang, Daqing 92 Zhong, Shou-Ming 88 Ahmad, Bashir 83 Agarwal, Ravi P. 83 Nieto Roig, Juan Jose 81 Wang, Jinrong 77 Chen, Lansun 76 Meng, Xinzhu 76 Xu, Rui 75 Migórski, Stanisław 72 Li, Yongkun 72 Wei, Junjie 70 Tang, Xianhua 67 Mu, Chunlai 67 O’Regan, Donal 66 Elaiw, Ahmed M. 66 Xu, Changjin 64 Llibre, Jaume 64 Yuan, Rong 61 Liu, Zhenhai 58 Dai, Binxiang 58 Zhang, Tonghua 57 Huang, Lihong 55 Guo, Shangjiang 55 Park, Juhyun (Jessie) 54 Liu, Qun 53 Băleanu, Dumitru I. 53 Wang, Ke 51 Chen, Haibo 51 Li, Xiaodi 51 Wang, Weiming 51 Winkler, Michael 50 Huo, Hai-Feng 50 Wu, Jianhua 49 Balasubramaniam, Pagavathigounder 49 Rakkiyappan, Rajan 49 Wang, Mingxin 48 Liu, Zhijun 48 Wang, Jinliang 48 Xia, Yonghui 47 Zhou, Yong 44 Jiang, Haijun 44 Ntouyas, Sotiris K. 44 Sun, Ji Tao 44 Zhao, Hongyong 43 Zeng, Shengda 43 Zhang, Long 42 Lin, Zhigui 42 Liu, Meng 42 Tang, Sanyi 42 Zhao, Min 41 Kumar Upadhyay, Ranjit 41 Ma, Wanbiao 40 Chen, Yuming 40 Jin, Zhen 40 Li, Zhong 40 Shi, Junping 40 Sofonea, Mircea 40 Zhu, Quanxin 38 Cai, Yongli 38 Lu, Shiping 38 Pei, Yongzhen 38 Ruan, Shigui 38 Tian, Lixin 37 Balachandran, Krishnan 37 Fan, Jishan 37 Kar, Tapan Kumar 37 Kuniya, Toshikazu 37 Li, Chuandong 37 Zhou, Yong 36 Hattaf, Khalid 36 Misra, Arvind Kumar 36 Muroya, Yoshiaki 36 Song, Xinyu 36 Zhong, Xin 35 Song, Yongli 35 Xie, Xiangdong 35 Yuan, Sanling 35 Zheng, Pan 34 Alzabut, Jehad O. 34 Chang, Yong-Kui 34 Feng, Zhaosheng 34 Rădulescu, Vicenţiu D. 34 Zhang, Tongqian 33 Gao, Shujing 33 Li, Yongxiang 33 Wang, Zhen 33 Zhang, Qingling 32 Caraballo Garrido, Tomás 32 Huang, Chuangxia 32 Jiang, Weihua 32 Li, Peiluan 32 Lv, Yunfei 32 N’Guérékata, Gaston Mandata ...and 20,773 more Authors
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 1,265 Nonlinear Analysis. Real World Applications 1,084 Applied Mathematics and Computation 850 Advances in Difference Equations 824 Journal of Mathematical Analysis and Applications 599 Abstract and Applied Analysis 574 Nonlinear Dynamics 507 Journal of Differential Equations 504 Computers & Mathematics with Applications 501 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 497 Chaos, Solitons and Fractals 443 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 439 Boundary Value Problems 434 Communications in Nonlinear Science and Numerical Simulation 421 Discrete Dynamics in Nature and Society 365 Discrete and Continuous Dynamical Systems. Series B 361 Applied Mathematics Letters 332 Mathematical Problems in Engineering 330 Mathematical Methods in the Applied Sciences 329 ZAMP. Zeitschrift für angewandte Mathematik und Physik 311 International Journal of Biomathematics 275 Applied Mathematical Modelling 266 Journal of the Franklin Institute 256 Applicable Analysis 255 Physica A 234 Journal of Applied Mathematics and Computing 211 Journal of Computational and Applied Mathematics 190 Communications on Pure and Applied Analysis 184 Mathematical Biosciences and Engineering 178 Journal of Applied Mathematics 174 Mathematics and Computers in Simulation 171 Journal of Mathematical Physics 167 Discrete and Continuous Dynamical Systems 159 Acta Applicandae Mathematicae 137 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 137 Journal of Inequalities and Applications 135 Mathematical and Computer Modelling 124 Complexity 122 Journal of Mathematical Biology 121 AIMS Mathematics 119 Mathematical Biosciences 117 Mediterranean Journal of Mathematics 115 Discrete and Continuous Dynamical Systems. Series S 114 Journal of Applied Analysis and Computation 111 Bulletin of Mathematical Biology 109 Chaos 104 Qualitative Theory of Dynamical Systems 102 International Journal of Computer Mathematics 100 International Journal of Applied and Computational Mathematics 99 Neural Networks 99 Nonlinear Analysis. Hybrid Systems 99 Advances in Mathematical Physics 98 Computational and Applied Mathematics 93 Nonlinear Analysis. Modelling and Control 92 Journal of Function Spaces 90 Differential Equations and Dynamical Systems 87 SIAM Journal on Mathematical Analysis 87 Journal of Biological Dynamics 86 Journal of Mathematical Fluid Mechanics 84 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 81 Journal of Dynamics and Differential Equations 80 Journal of Theoretical Biology 77 International Journal of Systems Science. Principles and Applications of Systems and Integration 76 Acta Mathematica Scientia. Series B. (English Edition) 71 Journal of Biological Systems 69 Journal of Optimization Theory and Applications 65 International Journal of Control 65 International Journal of Nonlinear Sciences and Numerical Simulation 64 Journal of Nonlinear Science 62 Applied Mathematics and Optimization 62 Physica D 62 Journal of Difference Equations and Applications 62 Journal of Nonlinear Science and Applications 61 Nonlinearity 57 Applied Numerical Mathematics 53 Mathematical Modelling of Natural Phenomena 53 Evolution Equations and Control Theory 53 Advances in Nonlinear Analysis 51 Fractional Calculus & Applied Analysis 50 Journal of Mathematical Chemistry 50 Journal of Evolution Equations 49 Electronic Journal of Differential Equations (EJDE) 49 Complex Variables and Elliptic Equations 48 NoDEA. Nonlinear Differential Equations and Applications 47 Journal of Computational Physics 47 Filomat 47 Journal of Fixed Point Theory and Applications 47 Open Mathematics 46 Calculus of Variations and Partial Differential Equations 46 Science China. Mathematics 45 Applications of Mathematics 44 International Journal of Differential Equations 43 Acta Mathematicae Applicatae Sinica. English Series 43 Numerical Algorithms 42 Fixed Point Theory and Applications 40 Archive for Rational Mechanics and Analysis 40 Information Sciences 40 Journal of Scientific Computing 39 Numerical Functional Analysis and Optimization 39 Results in Mathematics 39 Journal of Systems Science and Complexity ...and 629 more Journals
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### Cited in 60 Fields

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