Nonlinear Analysis-Real World Applications

Article	Citations
The effect of protection zone on asymptotic dynamics of a reaction–diffusion model with a free boundary or unbounded boundary	46
Propagation dynamics of a nonlocal periodic organism model with non-monotone birth rates	44
Editorial Board	37
Proof of two conjectures for perturbed piecewise linear Hamiltonian systems	32
Quasi-neutral limit for the full Euler–Poisson system in one-dimensional space	31
Existence of positive periodic solutions of several types of biological models with periodic coefficients	28
Gap functions and global error bounds for differential variational–hemivariational inequalities	24
N-wave-like properties for entropy solutions to scalar parabolic–hyper	24
Optimal decay rates and space–time analyticity of solutions to the Patlak-Keller–Segel equations	24
Critical mass phenomenon in a chemotaxis fluid system	23
Some new regularity criteria for the Navier–Stokes equations in terms of one directional derivative of the velocity field	23
The existence of minimal large positive solutions for a class of nonlinear cooperative systems	23
Enriched spatiotemporal dynamics of a model of Ebola transmission with a composite incidence function and density-independent treatment	22
Blow-up solutions of a chemotaxis model with nonlocal effects	21
Phase separation and morphology formation in interacting ternary mixtures under evaporation: Well-posedness and numerical simulation of a non-local evolution system	21
Dynamics of a predator–prey model with nonlinear growth rate and B–D functional response	20
Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity	18
Spreading speed and traveling wave solutions of a reaction–diffusion Zika model with constant recruitment	17
Global dynamics of a three-species spatial food chain model with alarm-taxis and logistic source	17
Dynamical behaviors of a classical Lotka–Volterra competition–diffusion–advection system	16
Homogenization of a finite plasticity model of layered structures with two slip systems	16
Sensitivity analysis of the non-linear Fokker–Planck equations with uncertainty	16
Traveling wave solutions of a cholera transmission model with nonlocal diffusion and spatio-temporal delay	16
Regularity estimates for the parabolic p(	15
Dynamics of an HIV infection model with virus diffusion and latently infected cell activation	15

Global existence of bounded solutions to the relativistic BGK model	14
The global classical solution to compressible system with fractional viscous term	14
Wave-breaking phenomena for the generalized Camassa–Holm equation with dual-power nonlinearities	14
The local well-posedness of the coupled Ostrovsky system with low regularity	14
Behavior in time of solutions to a degenerate chemotaxis system with flux limitation	14
Existence results for a nonlinear coupled radiative–conductive heat transfer system	14
The role of manipulative trophically transmitted parasites in the stability of a predator–prey community	12
Second-order differential inclusions with two small parameters	12
Limit cycle bifurcations of planar piecewise differential systems with three zones	12
Homogenization of nonisothermal immiscible incompressible two-phase flow in double porosity media	12
Persistence and zero-Hopf equilibrium in the tritrophic food chain model with Holling functional response	12
An analytical approach to applying the Lyapunov direct method to an epidemic model with age and stage structures	12
Well-posedness of constrained evolutionary differential variational–hemivariational inequalities with applications	12
Editorial Board	11
Dynamics of a reaction–diffusion waterborne pathogen model with free boundaries	11
On a Lotka–Volterra weak competition system with Robin and free boundary conditions	11
Global dynamics of diffusive Hindmarsh–Rose equations with memristors	11
Rayleigh–Taylor instability of 3D inhomogeneous incompressible Euler equations with damping in a horizontal slab	11
The diffusive Lotka–Volterra competition model in fragmented patches I: Coexistence	11
Large relaxation oscillation in slow–fast excitable Brusselator oscillator	11
Blow-up and lifespan estimates of solutions to semilinear Moore–Gibson–Thompson equations	10
Adaptive control for nonlinear cyber–physical systems in the presence of actuator attacks	10
On the number of limit cycles in piecewise smooth generalized Abel equations with two asymmetric zones	10
Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem	10
Global well-posedness for the compressible Euler–Korteweg equations with damping in	10
Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method	10
A simple proof of uniqueness for the nonlocal positive solutions	10
On a bi-stability regime and the existence of odd subharmonics in a Comb-drive MEMS model with cubic stiffness	10
Two-phase Stefan problem for generalized heat equation with nonlinear thermal coefficients	10
Global well-posedness of Chemotaxis-Navier–Stokes system with refined rough initial data in	10
Existence of local suitable weak solutions to the Navier–Stokes equations for initial data in	10
On a multiple time-scales perturbation analysis of a Stefan problem with a time-dependent Dirichlet boundary condition	10
Editorial Board	10
A note to semilinear de Sitter models in 1d with balanced mass and dissipation	9
Homogenization of a nonlinear drift–diffusion system for multiple charged species in a porous medium	9
Persistence and positive steady states of a two-stage structured population model with mixed dispersals	9
Axi-symmetric solutions for active vector models generalizing 3D Euler and electron–MHD equations	9
Global bifurcation in a toxin producing phytoplankton–zooplankton system with prey-taxis	9
Blow-up for a pseudo-parabolic equation with variable nonlinearity depending on	9
Existence of positive and nonnegative eigenfunctions for a fourth order operator with definite and indefinite weights	9
A necessary condition for extremality of solutions to autonomous obstacle problems with general growth	9
Sobolev hyperbola for periodic Lane–Emden heat flow system in N spatial dimension	9
An improved spatially controlled reaction–diffusion equation with a non-linear second order operator for image super-resolution	8
Self-similar solutions, regularity and time asymptotics for a nonlinear diffusion equation arising in game theory	8
Higher order asymptotic expansions for the convection–diffusion equation in the Fujita-subcritical case	8
Normal forms of Hopf–Bogdanov–Takens bifurcation for retarded differential equations	8
Periodic traveling waves for a diffusive influenza model with treatment and seasonality	8
Improvement of several regularity criteria for the Navier–Stokes equations	8
Leray–Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress–strain relation	8
Asymptotic behaviour of general nonautonomous Nicholson equations with mixed monotonicities	8

Linearizability of planar polynomial Hamiltonian systems	8
Global Dynamics of Planar Piecewise Linear Inelastic systems having straight lines as switching manifolds	8
Large Ericksen number limit for the 2D general Ericksen–Leslie system	8
Boundedness and persistence of traveling wave solutions for a non-cooperative lattice-diffusion system with time delay	8
Self-similar solutions to a flux-limited Keller–Segel system	7
Bifurcation and dynamics of periodic solutions of MEMS model with squeeze film damping	7
Global well-posedness of 2D Hyperbolic perturbation of the Navier–Stokes system in a thin strip	7
Optimal decay rate of the two-fluid incompressible Navier–Stokes–Fourier–Poisson system with Ohm’s law	7
Singular double phase problems with convection	7
Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity	7
Minimum energy with infinite horizon: From stationary to non-stationary states	7
Boundedness in a fully parabolic attraction–repulsion chemotaxis system with nonlinear diffusion and signal-dependent sensitivity	7
On second order differential inclusion driven by quasi-variational–hemivariational inequalities	7
Double phase logistic equations with superdiffusive reaction	7
On the existence and monotonicity of pulsating traveling waves for reaction–diffusion–advection systems in high dimensional and periodic media	7
Monostable pulsating traveling waves in discrete periodic media with delay	7
Modeling and analysis of a two-strain immuno-epidemiological model with reinfection	7
Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments	7
Energy equality of weak solutions of the Navier–Stokes–Fourier equations allowing vacuum	7
Topological and control theoretic properties of Hamilton–Jacobi equations via Lax-Oleinik commutators	7
Energy conservation for the weak solutions to the 3D compressible magnetohydrodynamic equations of viscous non-resistive fluids in a bounded domain	7
Improved decay results for micropolar flows with nonlinear damping	7
Generalized penalty method for history-dependent variational–hemivariational inequalities	7
Positive steady-state solutions for predator–prey systems with prey-taxis and Dirichlet conditions	7
Stability of viscous contact wave for the radiative and reactive gas with free boundary	6
Finite-time blowup in attraction–repulsion systems with nonlinear signal production	6
On a limiting system of the triangular SKT competition model with large cross-diffusion and random-diffusion	6
A new regularized stochastic approximation framework for stochastic inverse problems	6
Global dynamics of a diffusive viral infection model with spatial heterogeneity	6
Higher fractional differentiability for solutions to parabolic equations with double-phase growth	6
Boundedness in a two-dimensional attraction–repulsion Navier–Stokes system with consumption of chemoattractant and sub-quadratic degradation	6
A family of predictor–corrector schemes for a class of variational inequalities	6
Anisotropic Chan–Vese segmentation	6
New generalization of non-autonomous Bernfeld–Haddock conjecture and its proof	6
Editorial Board	6
The Fokker–Planck–Boltzmann equation in low regularity space	6
Spreading dynamics for an epidemic model of West-Nile virus with shifting environment	6
Existence and asymptotic properties of aerotaxis model with the Fokker–Planck type diffusion	6
Global boundedness and stabilization in a forager–exploiter model with logistic growth and nonlinear resource consumption	6
Junction in a thin multi-domain for nonsimple grade two materials in BH	6
On the long-time behaviour of solutions to unforced evolution Navier–Stokes equations under Navier boundary conditions	6
A reaction–diffusion vector-borne disease model with incubation period in almost periodic environments	6
Non-uniform dependence on initial data for the Benjamin–Ono equation	6
Derivation of a bidomain model for bundles of myelinated axons	6
On the boundary stabilization of the KdV–KdV system with time-dependent delay	6
Coexistence of two species with intra- and interspecific competition in an unstirred chemostat	6
A bifurcation phenomenon in a singularly perturbed two-phase free boundary problem of phase transition	6
Grow-up of weak solutions in a p-Laplacian pseudo-parabolic problem	5
Agent-based pattern formation in a chemostat system with asymmetric dispersal	5
Measure differential equation with a nonlinear growth/decay term	5
The Riemann problem for the nonisentropic Baer–Nunziato model of two-phase flows	5
Global existence and stabilization in a diffusive predator–prey model with population flux by attractive transition	5
A Liouville-type theorem for the stationary MHD equations	5
Global attractors for Moore–Gibson–Thompson thermoelastic extensible beams and Berger plates	5
Nodal solutions for anisotropic (p,	5
Coefficient identification of the regularized p-Stokes equations	5
Erratum to “Chemotaxis systems with singular sensitivity and logistic source: Boundedness, persistence, absorbing set, and entire solutions” [Nonlinear Anal. Real World Appl. 69 (2023) 27]	5
Competitive exclusion in a nonlocal reaction–diffusion–advection model of phytoplankton populations	5
Regularity for the steady Stokes-type flow of incompressible Newtonian fluids in some generalized function settings	5
An L∞	5
Ill-posedness for the Euler equations in Besov spaces	5
Weak solutions for contact models involving a class of generalized materials	5
Existence of solution for a singular elliptic system with convection terms	5
Topological properties of solution sets for nonlinear evolution hemivariational inequalities and applications	5
Editorial Board	5
Homogenization of high-contrast media in finite-strain elastoplasticity	5
Two models for sandpile growth in weighted graphs	5
Nontrivial solutions to affine p-Laplace equations via a perturbation	5
Decay mild solutions of Hilfer fractional differential variational–hemivariational inequalities	5
Self-similar solutions for the heat equation with a positive non-Lipschitz continuous, semilinear source term	5
A hybrid Krasnosel’skiĭ-Schauder fixed point theorem for systems	5
Local stability and topological structure of completely integrable differential systems	5
Boundedness of solutions in a predator–prey system with density-dependent motilities and indirect pursuit–evasion interaction	5
Spatio-temporal dynamics of a reaction–diffusion–advection food-limited system with nonlocal delayed competition and Dirichlet boundary condition	5
A note on “Existence and uniqueness of coexistence states for an elliptic system coupled in the linear part”, by Hei Li-jun, Nonlinear Anal. Real World Appl. 5, 2004	5
Global boundedness in a two-species attraction–repulsion chemotaxis system with two chemicals and nonlinear productions	5
Editorial Board	5
Boundary null controllability of degenerate heat equation as the limit of internal controllability	5
Global bounded weak solution for a 3D chemotaxis-Stokes system with slow 5
Avian–human influenza epidemic model with diffusion, nonlocal delay and spatial homogeneous environment	5

Dynamics of a predator–prey system with inducible defense and disease in the prey	5
Determination of unknown thermal coefficients in a non-classical Stefan problem	5
On global classical solutions of the three dimensional non-relativistic Vlasov–Darwin System	4
On the global well-posedness for the incompressible four-component chemotaxis-Navier–Stokes equations with gradient-dependent flux limitation in 4
A dynamic Euler–Bernoulli beam equation frictionally damped on an elastic foundation	4
Coexistence states for a class of prey–predator models with population flux by attractive transition	4
On radial solutions for a Fully Non Linear degenerate or singular PDE	4
Superlinear degradation in a doubly degenerate nutrient taxis system	4
Persistence or disappearance dynamics of a vector-borne disease model with climate change and distributed delay	4
Global well-posedeness and large time asymptotic behavior of 2D density-dependent Boussinesq equations of Korteweg type with vacuum	4
Dynamical boundary problem for Dirichlet-to-Neumann operator with critical Sobolev exponent and Hardy potential	4
Analysis of a degenerate reaction–diffusion anthrax model with spatial heterogeneity	4
On the classification and evolution of bifurcation curves for a quasilinear regularized MEMS model	4
Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation	4
Regularity results for solutions to a class of obstacle problems	4
A note on a very recent paper “Feedback control for nonlinear evolutionary equations with applications”	4
Blow-up analysis of solutions for weakly coupled degenerate parabolic systems with nonlinear boundary conditions	4
Global weak solutions to a quantum kinetic-fluid model with large initial data	4
Energy equality for the tropical climate models	4
Global existence and boundedness of solutions to a two-dimensional forager-exploiter model with/without logistic source	4
Exponential decay rate of a nonlinear suspension bridge model by a local distributed and boundary dampings	4
A quasilinear attraction–repulsion chemotaxis system with logistic source	4
Pattern formation and qualitative analysis for a vegetation-water model with diffusion	4
Generalized anisotropic elliptic Wentzell problems with nonstandard growth conditions	4
Unbounded perturbation of an evolution hemivariational inequality	4
Periodic solutions to history-dependent differential hemivariational inequalities with applications	4
Degenerate codimension-2 cusp of limit cycles in a Holling–Tanner model with harvesting and anti-predator behavior	4
Local well-posedness of Boussinesq equations for MHD convection with fractional thermal diffusion in sobolev space	4
Stability analysis of an age-structured epidemic model with vaccination and standard incidence rate	4
Asymptotic behaviors of global weak solutions for an epitaxial thin film growth equation	4
Global existence in a food chain model consisting of two competitive preys, one predator and chemotaxis	4
Invasion analysis of a reaction–diffusion-advection predator–prey model in spatially heterogeneous environment	4
Solitary waves of a generalized Ostrovsky equation	4
Weak–strong uniqueness for heat conducting non-Newtonian incompressible fluids	4
Continuous dependence on the initial and flux functions for solutions of conservation laws	4
Multiple solutions for nonlinear Sturm–Liouville differential equations with possibly negative variable coefficients	4
Variational methods for fluid–structure interaction and porous media	4
Lyapunov-type stability criterion for periodic generalized Camassa–Holm equations	4
Orbital stability of solitary waves on a ferrofluid jet	4
A remark on the regularity criterion for the 3D Navier–Stokes equations in terms of two vorticity components	4
Qualitative analysis of smooth solution for the Euler equations of Chaplygin gas	4
Chemotaxis systems with singular sensitivity and logistic source: Boundedness, persistence, absorbing set, and entire solutions	4
On a Mathematical model for traveling sand dune	4
Global solution to the Cauchy problem for nonlinear three-dimensional thermoelasticity of nonsimple materials	4
Penalty method for solving a class of stochastic differential variational inequalities with an application	4
On a fourth order equation describing single-component film models	4
Differential variational–hemivariational inequalities with application to contact mechanics	4
Global well-posedness to a chemotaxis-Stokes system	4