Nonlinear Analysis-Real World Applications

Article	Citations
Gap functions and global error bounds for differential variational–hemivariational inequalities	40
The effect of protection zone on asymptotic dynamics of a reaction–diffusion model with a free boundary or unbounded boundary	38
The existence of minimal large positive solutions for a class of nonlinear cooperative systems	36
Propagation dynamics of a nonlocal periodic organism model with non-monotone birth rates	34
Editorial Board	33
Some new regularity criteria for the Navier–Stokes equations in terms of one directional derivative of the velocity field	28
Proof of two conjectures for perturbed piecewise linear Hamiltonian systems	27
Spreading speed and traveling wave solutions of a reaction–diffusion Zika model with constant recruitment	25
Phase separation and morphology formation in interacting ternary mixtures under evaporation: Well-posedness and numerical simulation of a non-local evolution system	23
Optimal decay rates and space–time analyticity of solutions to the Patlak-Keller–Segel equations	22
Quasi-neutral limit for the full Euler–Poisson system in one-dimensional space	22
Critical mass phenomenon in a chemotaxis fluid system	22
Existence of positive periodic solutions of several types of biological models with periodic coefficients	22
Blow-up solutions of a chemotaxis model with nonlocal effects	21
Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity	21
Dynamics of a predator–prey model with nonlinear growth rate and B–D functional response	20
Enriched spatiotemporal dynamics of a model of Ebola transmission with a composite incidence function and density-independent treatment	20
Dynamics of a competing two-strain SIS epidemic model with general infection force on complex networks	19
Global dynamics of a three-species spatial food chain model with alarm-taxis and logistic source	19
Behavior in time of solutions to a degenerate chemotaxis system with flux limitation	19
Global boundedness and the Allee effect in a nonlocal bistable reaction–diffusion equation in population dynamics	18
Dynamics of an HIV infection model with virus diffusion and latently infected cell activation	17
Sensitivity analysis of the non-linear Fokker–Planck equations with uncertainty	17
Well-posedness of constrained evolutionary differential variational–hemivariational inequalities with applications	17
Dynamical behaviors of a classical Lotka–Volterra competition–diffusion–advection system	17

Regularity estimates for the parabolic p(	16
Existence results for a nonlinear coupled radiative–conductive heat transfer system	16
Global existence of bounded solutions to the relativistic BGK model	15
The local well-posedness of the coupled Ostrovsky system with low regularity	15
Wave-breaking phenomena for the generalized Camassa–Holm equation with dual-power nonlinearities	15
The global classical solution to compressible system with fractional viscous term	15
The Picone identity: A device to get optimal uniqueness results and global dynamics in Population Dynamics	14
Global well-posedness of Chemotaxis-Navier–Stokes system with refined rough initial data in	14
Limit cycle bifurcations of planar piecewise differential systems with three zones	14
Existence of local suitable weak solutions to the Navier–Stokes equations for initial data in	14
Blow-up and lifespan estimates of solutions to semilinear Moore–Gibson–Thompson equations	14
Two-phase Stefan problem for generalized heat equation with nonlinear thermal coefficients	14
Persistence and zero-Hopf equilibrium in the tritrophic food chain model with Holling functional response	13
The role of manipulative trophically transmitted parasites in the stability of a predator–prey community	13
Global dynamics and zero-diffusion limit of a parabolic–elliptic–parabolic system for ion transport networks	13
Global dynamics of diffusive Hindmarsh–Rose equations with memristors	12
On a Lotka–Volterra weak competition system with Robin and free boundary conditions	12
Editorial Board	12
Second-order differential inclusions with two small parameters	12
Invasion entire solutions for two-species diffusive monostable competitive systems	12
Dynamics of a reaction–diffusion waterborne pathogen model with free boundaries	12
The diffusive Lotka–Volterra competition model in fragmented patches I: Coexistence	12
Homogenization of nonisothermal immiscible incompressible two-phase flow in double porosity media	11
Rayleigh–Taylor instability of 3D inhomogeneous incompressible Euler equations with damping in a horizontal slab	11
Axi-symmetric solutions for active vector models generalizing 3D Euler and electron–MHD equations	11
Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method	11
Persistence and positive steady states of a two-stage structured population model with mixed dispersals	11
Large relaxation oscillation in slow–fast excitable Brusselator oscillator	11
A simple proof of uniqueness for the nonlocal positive solutions	10
Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem	10
On the number of limit cycles in piecewise smooth generalized Abel equations with two asymmetric zones	10
A note to semilinear de Sitter models in 1d with balanced mass and dissipation	10
Editorial Board	10
Homogenization of a nonlinear drift–diffusion system for multiple charged species in a porous medium	10
On a multiple time-scales perturbation analysis of a Stefan problem with a time-dependent Dirichlet boundary condition	10
Sobolev hyperbola for periodic Lane–Emden heat flow system in N spatial dimension	9
A necessary condition for extremality of solutions to autonomous obstacle problems with general growth	9
Energy equality of weak solutions of the Navier–Stokes–Fourier equations allowing vacuum	9
Global Dynamics of Planar Piecewise Linear Inelastic systems having straight lines as switching manifolds	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
Improvement of several regularity criteria for the Navier–Stokes equations	9
Identification of the minimum value of reservoir permeability in nonlinear single phase mud filtrate invasion model	9
Boundedness in a fully parabolic attraction–repulsion chemotaxis system with nonlinear diffusion and signal-dependent sensitivity	9
On a bi-stability regime and the existence of odd subharmonics in a Comb-drive MEMS model with cubic stiffness	9
Global bifurcation in a toxin producing phytoplankton–zooplankton system with prey-taxis	9
Periodic traveling waves for a diffusive influenza model with treatment and seasonality	9
Boundedness and persistence of traveling wave solutions for a non-cooperative lattice-diffusion system with time delay	9
Higher order asymptotic expansions for the convection–diffusion equation in the Fujita-subcritical case	8
Energy conservation for the weak solutions to the 3D compressible magnetohydrodynamic equations of viscous non-resistive fluids in a bounded domain	8

On the boundary stabilization of the KdV–KdV system with time-dependent delay	8
On second order differential inclusion driven by quasi-variational–hemivariational inequalities	8
Partially reflected waves in water of finite depth	8
Linearizability of planar polynomial Hamiltonian systems	8
An improved spatially controlled reaction–diffusion equation with a non-linear second order operator for image super-resolution	8
Optimal decay rate of the two-fluid incompressible Navier–Stokes–Fourier–Poisson system with Ohm’s law	8
Monostable pulsating traveling waves in discrete periodic media with delay	8
Asymptotic behaviour of general nonautonomous Nicholson equations with mixed monotonicities	8
Leray–Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress–strain relation	8
Bifurcation and dynamics of periodic solutions of MEMS model with squeeze film damping	8
Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments	8
Global well-posedness of 2D Hyperbolic perturbation of the Navier–Stokes system in a thin strip	8
A new regularized stochastic approximation framework for stochastic inverse problems	8
Self-similar solutions, regularity and time asymptotics for a nonlinear diffusion equation arising in game theory	8
Large Ericksen number limit for the 2D general Ericksen–Leslie system	8
Derivation of a bidomain model for bundles of myelinated axons	7
Nontrivial solutions to affine p-Laplace equations via a perturbation	7
Modeling and analysis of a two-strain immuno-epidemiological model with reinfection	7
Positive steady-state solutions for predator–prey systems with prey-taxis and Dirichlet conditions	7
Double phase logistic equations with superdiffusive reaction	7
Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity	7
The Fokker–Planck–Boltzmann equation in low regularity space	7
Generalized penalty method for history-dependent variational–hemivariational inequalities	7
On the existence and monotonicity of pulsating traveling waves for reaction–diffusion–advection systems in high dimensional and periodic media	7
Singular double phase problems with convection	7
Addendum to “Γ-convergence involving nonlocal gradients with varying horizon: Recovery of local and fractional models” [Nonlinear Analysis: Real World Applications, Volume 85 (2025), 104371]	7
Non-uniform dependence on initial data for the Benjamin–Ono equation	7
Minimum energy with infinite horizon: From stationary to non-stationary states	7
Global dynamics of a diffusive viral infection model with spatial heterogeneity	7
A family of predictor–corrector schemes for a class of variational inequalities	6
A reaction–diffusion vector-borne disease model with incubation period in almost periodic environments	6
Coexistence of two species with intra- and interspecific competition in an unstirred chemostat	6
Boundedness in a two-dimensional attraction–repulsion Navier–Stokes system with consumption of chemoattractant and sub-quadratic degradation	6
On the long-time behaviour of solutions to unforced evolution Navier–Stokes equations under Navier boundary conditions	6
Nodal solutions for anisotropic (p,	6
Two models for sandpile growth in weighted graphs	6
The existence and linear stability of periodic solution for a free boundary problem modeling tumor growth with a periodic supply of external nutrients	6
New generalization of non-autonomous Bernfeld–Haddock conjecture and its proof	6
Spreading dynamics for an epidemic model of West-Nile virus with shifting environment	6
Anisotropic Chan–Vese segmentation	6
A class of history-dependent systems of evolution inclusions with applications	6
On a limiting system of the triangular SKT competition model with large cross-diffusion and random-diffusion	6
A bifurcation phenomenon in a singularly perturbed two-phase free boundary problem of phase transition	6
Editorial Board	6
Homogenization of high-contrast media in finite-strain elastoplasticity	6
A Liouville-type theorem for the stationary MHD equations	6
Coefficient identification of the regularized p-Stokes equations	6
Measure differential equation with a nonlinear growth/decay term	5
Analysis of a degenerate reaction–diffusion anthrax model with spatial heterogeneity	5
Controllability for semilinear heat equation with globally Lipschitz nonlinearities and memory term	5
Topological properties of solution sets for nonlinear evolution hemivariational inequalities and applications	5
Existence of solution for a singular elliptic system with convection terms	5
Global boundedness and stabilization in a forager–exploiter model with logistic growth and nonlinear resource consumption	5
Boundary null controllability of degenerate heat equation as the limit of internal controllability	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
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
Global boundedness in a two-species attraction–repulsion chemotaxis system with two chemicals and nonlinear productions	5
Grow-up of weak solutions in a p-Laplacian pseudo-parabolic problem	5
Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier–Stokes–Fourier fluid and a damped plate equation	5
A hybrid Krasnosel’skiĭ-Schauder fixed point theorem for systems	5
Editorial Board	5
Determination of unknown thermal coefficients in a non-classical Stefan problem	5
Decay mild solutions of Hilfer fractional differential variational–hemivariational inequalities	5
Global boundedness and stability of solutions for prey-taxis model with handling and searching predators	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
Periodic solutions to history-dependent differential hemivariational inequalities with applications	5
Ill-posedness for the Euler equations in Besov spaces	5
Weak solutions for contact models involving a class of generalized materials	5
The Riemann problem for the nonisentropic Baer–Nunziato model of two-phase flows	5
A nonlinear viscoelastic plate equation with	5
Competitive exclusion in a nonlocal reaction–diffusion–advection model of phytoplankton populations	5
Editorial Board	5
Existence and asymptotic properties of aerotaxis model with the Fokker–Planck type diffusion	5
Finite-time blowup in attraction–repulsion systems with nonlinear signal production	5
Global bounded weak solution for a 3D chemotaxis-Stokes system with slow 5
Stability of viscous contact wave for the radiative and reactive gas with free boundary	5
Self-similar solutions for the heat equation with a positive non-Lipschitz continuous, semilinear source term	5
Global existence and stabilization in a diffusive predator–prey model with population flux by attractive transition	5
Spatio-temporal dynamics of a reaction–diffusion–advection food-limited system with nonlocal delayed competition and Dirichlet boundary condition	5

Global well-posedness to a chemotaxis-Stokes system	4
Variational methods for fluid–structure interaction and porous media	4
Local well-posedness of Boussinesq equations for MHD convection with fractional thermal diffusion in sobolev space	4
Global well-posedeness and large time asymptotic behavior of 2D density-dependent Boussinesq equations of Korteweg type with vacuum	4
Weak–strong uniqueness for heat conducting non-Newtonian incompressible fluids	4
Dynamical boundary problem for Dirichlet-to-Neumann operator with critical Sobolev exponent and Hardy potential	4
Multiple solutions for nonlinear Sturm–Liouville differential equations with possibly negative variable coefficients	4
Pattern formation and qualitative analysis for a vegetation-water model with diffusion	4
A dynamic Euler–Bernoulli beam equation frictionally damped on an elastic foundation	4
Agent-based pattern formation in a chemostat system with asymmetric dispersal	4
Editorial Board	4
A quasilinear attraction–repulsion chemotaxis system with logistic source	4
Invasion analysis of a reaction–diffusion-advection predator–prey model in spatially heterogeneous environment	4
On radial solutions for a Fully Non Linear degenerate or singular PDE	4
On a Mathematical model for traveling sand dune	4
A remark on the regularity criterion for the 3D Navier–Stokes equations in terms of two vorticity components	4
On the global well-posedness for the incompressible four-component chemotaxis-Navier–Stokes equations with gradient-dependent flux limitation in 4
Survival criterion for a population subject to selection and mutations; Application to temporally piecewise constant environments	4
Local stability and topological structure of completely integrable differential systems	4
Superlinear degradation in a doubly degenerate nutrient taxis system	4
Boundedness of solutions in a predator–prey system with density-dependent motilities and indirect pursuit–evasion interaction	4
Global solution to the Cauchy problem for nonlinear three-dimensional thermoelasticity of nonsimple materials	4
Regularity for the steady Stokes-type flow of incompressible Newtonian fluids in some generalized function settings	4
Asymptotic behavior of strong solutions of a simplified energy-transport model with general conductivity	4
On a fourth order equation describing single-component film models	4
Existence and multiplicity results for double phase problem with nonlinear boundary condition	4
Global existence in a food chain model consisting of two competitive preys, one predator and chemotaxis	4
Qualitative analysis of smooth solution for the Euler equations of Chaplygin gas	4
On the classification and evolution of bifurcation curves for a quasilinear regularized MEMS model	4
A threshold policy to curb WNV transmission to birds with seasonality	4
Unbounded perturbation of an evolution hemivariational inequality	4
Exponential decay rate of a nonlinear suspension bridge model by a local distributed and boundary dampings	4
Degenerate codimension-2 cusp of limit cycles in a Holling–Tanner model with harvesting and anti-predator behavior	4
A note on a very recent paper “Feedback control for nonlinear evolutionary equations with applications”	4
Chemotaxis systems with singular sensitivity and logistic source: Boundedness, persistence, absorbing set, and entire solutions	4
Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation	4
Global weak solutions to a quantum kinetic-fluid model with large initial data	4
Asymptotic behaviors of global weak solutions for an epitaxial thin film growth equation	4