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	42
Proof of two conjectures for perturbed piecewise linear Hamiltonian systems	37
Editorial Board	37
Quasi-neutral limit for the full Euler–Poisson system in one-dimensional space	36
Existence of positive periodic solutions of several types of biological models with periodic coefficients	33
Gap functions and global error bounds for differential variational–hemivariational inequalities	29
Optimal decay rates and space–time analyticity of solutions to the Patlak-Keller–Segel equations	27
N-wave-like properties for entropy solutions to scalar parabolic–hyper	26
Critical mass phenomenon in a chemotaxis fluid system	24
Enriched spatiotemporal dynamics of a model of Ebola transmission with a composite incidence function and density-independent treatment	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
Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity	22
Phase separation and morphology formation in interacting ternary mixtures under evaporation: Well-posedness and numerical simulation of a non-local evolution system	22
Blow-up solutions of a chemotaxis model with nonlocal effects	22
Spreading speed and traveling wave solutions of a reaction–diffusion Zika model with constant recruitment	21
Global dynamics of a three-species spatial food chain model with alarm-taxis and logistic source	21
Dynamics of a predator–prey model with nonlinear growth rate and B–D functional response	19
Traveling wave solutions of a cholera transmission model with nonlocal diffusion and spatio-temporal delay	18
Global boundedness and the Allee effect in a nonlocal bistable reaction–diffusion equation in population dynamics	17
Homogenization of a finite plasticity model of layered structures with two slip systems	17
Dynamics of an HIV infection model with virus diffusion and latently infected cell activation	16
Sensitivity analysis of the non-linear Fokker–Planck equations with uncertainty	16
Dynamical behaviors of a classical Lotka–Volterra competition–diffusion–advection system	16

The global classical solution to compressible system with fractional viscous term	15
Wave-breaking phenomena for the generalized Camassa–Holm equation with dual-power nonlinearities	15
Regularity estimates for the parabolic p(	15
Global existence of bounded solutions to the relativistic BGK model	15
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
Well-posedness of constrained evolutionary differential variational–hemivariational inequalities with applications	14
Global dynamics and zero-diffusion limit of a parabolic–elliptic–parabolic system for ion transport networks	14
Second-order differential inclusions with two small parameters	13
Homogenization of nonisothermal immiscible incompressible two-phase flow in double porosity media	13
The role of manipulative trophically transmitted parasites in the stability of a predator–prey community	12
Editorial Board	12
Limit cycle bifurcations of planar piecewise differential systems with three zones	12
Dynamics of a reaction–diffusion waterborne pathogen model with free boundaries	12
The Picone identity: A device to get optimal uniqueness results and global dynamics in Population Dynamics	12
Persistence and zero-Hopf equilibrium in the tritrophic food chain model with Holling functional response	12
Adaptive control for nonlinear cyber–physical systems in the presence of actuator attacks	11
On a Lotka–Volterra weak competition system with Robin and free boundary conditions	11
Large relaxation oscillation in slow–fast excitable Brusselator oscillator	11
The diffusive Lotka–Volterra competition model in fragmented patches I: Coexistence	11
Blow-up and lifespan estimates of solutions to semilinear Moore–Gibson–Thompson equations	11
Rayleigh–Taylor instability of 3D inhomogeneous incompressible Euler equations with damping in a horizontal slab	11
Global dynamics of diffusive Hindmarsh–Rose equations with memristors	11
Global well-posedness of Chemotaxis-Navier–Stokes system with refined rough initial data in	10
Two-phase Stefan problem for generalized heat equation with nonlinear thermal coefficients	10
A simple proof of uniqueness for the nonlocal positive solutions	10
Editorial Board	10
Global well-posedness for the compressible Euler–Korteweg equations with damping in	10
An analytical approach to applying the Lyapunov direct method to an epidemic model with age and stage structures	10
On a bi-stability regime and the existence of odd subharmonics in a Comb-drive MEMS model with cubic stiffness	10
On the number of limit cycles in piecewise smooth generalized Abel equations with two asymmetric zones	10
Existence of local suitable weak solutions to the Navier–Stokes equations for initial data in	10
Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method	10
Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem	10
On a multiple time-scales perturbation analysis of a Stefan problem with a time-dependent Dirichlet boundary condition	10
Global Dynamics of Planar Piecewise Linear Inelastic systems having straight lines as switching manifolds	9
Existence of positive and nonnegative eigenfunctions for a fourth order operator with definite and indefinite weights	9
Blow-up for a pseudo-parabolic equation with variable nonlinearity depending on	9
Homogenization of a nonlinear drift–diffusion system for multiple charged species in a porous medium	9
Axi-symmetric solutions for active vector models generalizing 3D Euler and electron–MHD equations	9
A note to semilinear de Sitter models in 1d with balanced mass and dissipation	9
Global bifurcation in a toxin producing phytoplankton–zooplankton system with prey-taxis	9
Improvement of several regularity criteria for the Navier–Stokes equations	9
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
Persistence and positive steady states of a two-stage structured population model with mixed dispersals	9
An improved spatially controlled reaction–diffusion equation with a non-linear second order operator for image super-resolution	8
Leray–Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress–strain relation	8
Boundedness and persistence of traveling wave solutions for a non-cooperative lattice-diffusion system with time delay	8

Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments	8
On second order differential inclusion driven by quasi-variational–hemivariational inequalities	8
Asymptotic behaviour of general nonautonomous Nicholson equations with mixed monotonicities	8
Large Ericksen number limit for the 2D general Ericksen–Leslie system	8
Higher order asymptotic expansions for the convection–diffusion equation in the Fujita-subcritical case	8
Improved decay results for micropolar flows with nonlinear damping	8
Periodic traveling waves for a diffusive influenza model with treatment and seasonality	8
Self-similar solutions, regularity and time asymptotics for a nonlinear diffusion equation arising in game theory	8
Self-similar solutions to a flux-limited Keller–Segel system	8
Normal forms of Hopf–Bogdanov–Takens bifurcation for retarded differential equations	8
Linearizability of planar polynomial Hamiltonian systems	8
On the existence and monotonicity of pulsating traveling waves for reaction–diffusion–advection systems in high dimensional and periodic media	7
Boundedness in a fully parabolic attraction–repulsion chemotaxis system with nonlinear diffusion and signal-dependent sensitivity	7
On the boundary stabilization of the KdV–KdV system with time-dependent delay	7
Energy equality of weak solutions of the Navier–Stokes–Fourier equations allowing vacuum	7
Editorial Board	7
Global dynamics of a diffusive viral infection model with spatial heterogeneity	7
Monostable pulsating traveling waves in discrete periodic media with delay	7
Optimal decay rate of the two-fluid incompressible Navier–Stokes–Fourier–Poisson system with Ohm’s law	7
Modeling and analysis of a two-strain immuno-epidemiological model with reinfection	7
Minimum energy with infinite horizon: From stationary to non-stationary states	7
Topological and control theoretic properties of Hamilton–Jacobi equations via Lax-Oleinik commutators	7
Global well-posedness of 2D Hyperbolic perturbation of the Navier–Stokes system in a thin strip	7
Energy conservation for the weak solutions to the 3D compressible magnetohydrodynamic equations of viscous non-resistive fluids in a bounded domain	7
The Fokker–Planck–Boltzmann equation in low regularity space	7
Non-uniform dependence on initial data for the Benjamin–Ono equation	7
Singular double phase problems with convection	7
Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity	7
A new regularized stochastic approximation framework for stochastic inverse problems	7
Bifurcation and dynamics of periodic solutions of MEMS model with squeeze film damping	7
Positive steady-state solutions for predator–prey systems with prey-taxis and Dirichlet conditions	7
Generalized penalty method for history-dependent variational–hemivariational inequalities	7
Derivation of a bidomain model for bundles of myelinated axons	7
Double phase logistic equations with superdiffusive reaction	7
A bifurcation phenomenon in a singularly perturbed two-phase free boundary problem of phase transition	6
Global boundedness and stabilization in a forager–exploiter model with logistic growth and nonlinear resource consumption	6
Nodal solutions for anisotropic (p,	6
A family of predictor–corrector schemes for a class of variational inequalities	6
Anisotropic Chan–Vese segmentation	6
Junction in a thin multi-domain for nonsimple grade two materials in BH	6
A reaction–diffusion vector-borne disease model with incubation period in almost periodic environments	6
Existence and asymptotic properties of aerotaxis model with the Fokker–Planck type diffusion	6
On the long-time behaviour of solutions to unforced evolution Navier–Stokes equations under Navier boundary conditions	6
Coefficient identification of the regularized p-Stokes equations	6
Global boundedness and stability of solutions for prey-taxis model with handling and searching predators	6
On a limiting system of the triangular SKT competition model with large cross-diffusion and random-diffusion	6
New generalization of non-autonomous Bernfeld–Haddock conjecture and its proof	6
Finite-time blowup in attraction–repulsion systems with nonlinear signal production	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
Boundary null controllability of degenerate heat equation as the limit of internal controllability	6
Global bounded weak solution for a 3D chemotaxis-Stokes system with slow 6
Two models for sandpile growth in weighted graphs	6
Stability of viscous contact wave for the radiative and reactive gas with free boundary	6
Coexistence of two species with intra- and interspecific competition in an unstirred chemostat	6
Spreading dynamics for an epidemic model of West-Nile virus with shifting environment	6
Higher fractional differentiability for solutions to parabolic equations with double-phase growth	6
Controllability for semilinear heat equation with globally Lipschitz nonlinearities and memory term	5
Qualitative analysis of smooth solution for the Euler equations of Chaplygin gas	5
Regularity for the steady Stokes-type flow of incompressible Newtonian fluids in some generalized function settings	5
Determination of unknown thermal coefficients in a non-classical Stefan problem	5
Grow-up of weak solutions in a p-Laplacian pseudo-parabolic problem	5
Topological properties of solution sets for nonlinear evolution hemivariational inequalities and applications	5
Ill-posedness for the Euler equations in Besov spaces	5
Weak solutions for contact models involving a class of generalized materials	5
Competitive exclusion in a nonlocal reaction–diffusion–advection model of phytoplankton populations	5
Editorial Board	5
Homogenization of high-contrast media in finite-strain elastoplasticity	5
Avian–human influenza epidemic model with diffusion, nonlocal delay and spatial homogeneous environment	5
Boundedness in a two-dimensional attraction–repulsion Navier–Stokes system with consumption of chemoattractant and sub-quadratic degradation	5
Agent-based pattern formation in a chemostat system with asymmetric dispersal	5
Dynamical boundary problem for Dirichlet-to-Neumann operator with critical Sobolev exponent and Hardy potential	5
Existence of solution for a singular elliptic system with convection terms	5
Pattern formation and qualitative analysis for a vegetation-water model with diffusion	5
An L∞	5
Global existence and stabilization in a diffusive predator–prey model with population flux by attractive transition	5
Chemotaxis systems with singular sensitivity and logistic source: Boundedness, persistence, absorbing set, and entire solutions	5
Boundedness of solutions in a predator–prey system with density-dependent motilities and indirect pursuit–evasion interaction	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
Dynamics of a predator–prey system with inducible defense and disease in the prey	5
Nontrivial solutions to affine p-Laplace equations via a perturbation	5

A Liouville-type theorem for the stationary MHD equations	5
Editorial Board	5
Spatio-temporal dynamics of a reaction–diffusion–advection food-limited system with nonlocal delayed competition and Dirichlet boundary condition	5
The Riemann problem for the nonisentropic Baer–Nunziato model of two-phase flows	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
Analysis of a degenerate reaction–diffusion anthrax model with spatial heterogeneity	5
Local stability and topological structure of completely integrable differential systems	5
Measure differential equation with a nonlinear growth/decay term	5
A hybrid Krasnosel’skiĭ-Schauder fixed point theorem for systems	5
Global boundedness in a two-species attraction–repulsion chemotaxis system with two chemicals and nonlinear productions	5
Global attractors for Moore–Gibson–Thompson thermoelastic extensible beams and Berger plates	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
Regularity results for solutions to a class of obstacle problems	4
On the global well-posedness for the incompressible four-component chemotaxis-Navier–Stokes equations with gradient-dependent flux limitation in 4
A note on a very recent paper “Feedback control for nonlinear evolutionary equations with applications”	4
Multiple solutions for nonlinear Sturm–Liouville differential equations with possibly negative variable coefficients	4
Global existence in a food chain model consisting of two competitive preys, one predator and chemotaxis	4
Solitary waves of a generalized Ostrovsky equation	4
Weak–strong uniqueness for heat conducting non-Newtonian incompressible fluids	4
Differential variational–hemivariational inequalities with application to contact mechanics	4
On a Mathematical model for traveling sand dune	4
Invasion analysis of a reaction–diffusion-advection predator–prey model in spatially heterogeneous environment	4
A remark on the regularity criterion for the 3D Navier–Stokes equations in terms of two vorticity components	4
Superlinear degradation in a doubly degenerate nutrient taxis system	4
Exponential decay rate of a nonlinear suspension bridge model by a local distributed and boundary dampings	4
Propagation dynamics of a Lotka–Volterra competition model with stage structure in time–space periodic environment	4
Solvability of the fractional hyperbolic Keller–Segel system	4
A dynamic Euler–Bernoulli beam equation frictionally damped on an elastic foundation	4
Asymptotic behaviors of global weak solutions for an epitaxial thin film growth equation	4
Existence and multiplicity results for double phase problem with nonlinear boundary condition	4
On global classical solutions of the three dimensional non-relativistic Vlasov–Darwin System	4
Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation	4
Orbital stability of solitary waves on a ferrofluid jet	4
Penalty method for solving a class of stochastic differential variational inequalities with an application	4
Energy equality for the tropical climate models	4
Variational methods for fluid–structure interaction and porous media	4
Blow-up analysis of solutions for weakly coupled degenerate parabolic systems with nonlinear boundary conditions	4
Global well-posedness to a chemotaxis-Stokes system	4
Coexistence states for a class of prey–predator models with population flux by attractive transition	4
Global well-posedeness and large time asymptotic behavior of 2D density-dependent Boussinesq equations of Korteweg type with vacuum	4
Global weak solutions to a quantum kinetic-fluid model with large initial data	4
Persistence or disappearance dynamics of a vector-borne disease model with climate change and distributed delay	4
Global entropy solutions to a degenerate parabolic–parabolic chemotaxis system for flux-limited dispersal	4
Stability analysis of an age-structured epidemic model with vaccination and standard incidence rate	4
On the classification and evolution of bifurcation curves for a quasilinear regularized MEMS model	4
On a fourth order equation describing single-component film models	4
Degenerate codimension-2 cusp of limit cycles in a Holling–Tanner model with harvesting and anti-predator behavior	4
A diffusive Lotka–Volterra model with Robin boundary condition and sign-changing growth rates in time-periodic environment	4
Global solution to the Cauchy problem for nonlinear three-dimensional thermoelasticity of nonsimple materials	4
Continuous dependence on the initial and flux functions for solutions of conservation laws	4
Generalized anisotropic elliptic Wentzell problems with nonstandard growth conditions	4
Classification of positive solutions to p-Laplace equations with crit	4
Local well-posedness of Boussinesq equations for MHD convection with fractional thermal diffusion in sobolev space	4
Global existence and boundedness of solutions to a two-dimensional forager-exploiter model with/without logistic source	4
On radial solutions for a Fully Non Linear degenerate or singular PDE	4
Unbounded perturbation of an evolution hemivariational inequality	4
A quasilinear attraction–repulsion chemotaxis system with logistic source	4
Lyapunov-type stability criterion for periodic generalized Camassa–Holm equations	4
Existence of global weak solutions to 2D reduced gravity two-and-a-half layer model	4
Editorial Board	3
Lipschitz regularity of minimizers of variational integrals with variable exponents	3
Low Mach number limit of the compressible Navier–Stokes–Cattaneo equations with general initial data	3
Energy equality for the 3D inhomogeneous Navier–Stokes equations in Lorentz–Besov spaces	3
Diffusion–convection reaction equations with sign-changing diffusivity and bistable reaction term	3
Quadratic slow-fast systems on the plane	3
Hamiltonian regularisation of the unidimensional barotropic Euler equations	3
Global well-posedness and inviscid limits of the generalized Oldroyd type models	3
The impact of Wolbachia on dengue transmission dynamics in an SEI–SIS model	3
The logistic equation with nonlinear advection term	3
A nonsmooth optimization approach for time-dependent hemivariational inequalities	3
On the existence of radial solutions to a nonlinear k-Hessian system w	3
The Cauchy problem for fractional Camassa–Holm equation in Besov space	3
Global well-posedness and vanishing parameters limits for the systems of ferrohydrodynamics	3
Editorial Board	3
Weakly nonlinear analysis of a two-species non-local advection–diffusion system	3
Global boundedness and stability of a predator–prey model with alarm-taxis	3
A generalized Duffing equation with the Coulomb’s friction law and Signorini–type contact conditions	3
Editorial Board	3
Human-vector malaria transmission model structured by age, time since infection and waning immunity	3
Role of seasonality and spatial heterogeneous in the transmission dynamics of avian influenza	3
Existence of the backward bifurcation of a non-markovian SIS-network model with saturation treatment function	3
On the number of limit cycles in piecewise planar quadratic differential systems	3
Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks	3
Bifurcation of equilibrium forms of a gas column rotating with constant speed around its axis of symmetry	3
Fractional regularity for conservation laws with discontinuous flux	3
Singular non-autonomous (p,q<	3
A nonlinear model for marble sulphation including surface rugosity and mechanical damage	3
The matching of two Markus-Yamabe piecewise smooth systems in the plane	3
Stability of the Couette flow for the two dimensional Chemotaxis-Navier–Stokes system	3
Free boundary problems with local–nonlocal diffusions and different free boundaries II: Spreading–vanishing and long-time behavior	3
Zero-viscosity limit for Boussinesq equations with vertical viscosity and Navier boundary in the half plane	3
Well-posedness for magnetoviscoelastic fluids in 3D	3
Maximal Lp	3