Nonlinear Analysis-Real World Applications

Article	Citations
Proof of two conjectures for perturbed piecewise linear Hamiltonian systems	55
Global dynamics of a three-species spatial food chain model with alarm-taxis and logistic source	43
Global well-posedness and large time behaviors for the generalized MHD equations	39
Phase separation and morphology formation in interacting ternary mixtures under evaporation: Well-posedness and numerical simulation of a non-local evolution system	36
Optimal decay rates and space–time analyticity of solutions to the Patlak-Keller–Segel equations	30
Dynamics of a predator–prey model with nonlinear growth rate and B–D functional response	30
N-wave-like properties for entropy solutions to scalar parabolic–hyper	28
Critical mass phenomenon in a chemotaxis fluid system	27
The existence of minimal large positive solutions for a class of nonlinear cooperative systems	27
Quasi-neutral limit for the full Euler–Poisson system in one-dimensional space	27
Editorial Board	25
Propagation dynamics of a nonlocal periodic organism model with non-monotone birth rates	22
Global existence and boundedness in a 3D predator–prey system with nonlinear diffusion and prey-taxis	21
The effect of protection zone on asymptotic dynamics of a reaction–diffusion model with a free boundary or unbounded boundary	20
Gap functions and global error bounds for differential variational–hemivariational inequalities	18
Bilinear optimal control for chemotaxis model: The case of two-sidedly degenerate diffusion with Volume-Filling Effect	18
Stabilities of the background perturbations for compressible Navier–Stokes equations	17
Enriched spatiotemporal dynamics of a model of Ebola transmission with a composite incidence function and density-independent treatment	17
Spreading speed and traveling wave solutions of a reaction–diffusion Zika model with constant recruitment	17
Existence of positive periodic solutions of several types of biological models with periodic coefficients	17
Blow-up solutions of a chemotaxis model with nonlocal effects	17
Integrability and periodic orbits of a 3D jerk system with two quadratic nonlinearities	16
Regularity estimates for the parabolic p(	15
Homogenization of a finite plasticity model of layered structures with two slip systems	15
Dynamics in a two-species system with common dynamical resources and general competition term	15

Existence results for a nonlinear coupled radiative–conductive heat transfer system	14
The global classical solution to compressible system with fractional viscous term	14
The local well-posedness of the coupled Ostrovsky system with low regularity	14
Wave-breaking phenomena for the generalized Camassa–Holm equation with dual-power nonlinearities	13
Well-posedness of constrained evolutionary differential variational–hemivariational inequalities with applications	13
Dynamics of an HIV infection model with virus diffusion and latently infected cell activation	13
Behavior in time of solutions to a degenerate chemotaxis system with flux limitation	13
Traveling wave solutions of a cholera transmission model with nonlocal diffusion and spatio-temporal delay	13
Existence of local suitable weak solutions to the Navier–Stokes equations for initial data in	12
Dynamic contact of a beam–rod system with Signorini typed contact conditions and thermal effects	12
Note on global stability of 2D anisotropic Boussinesq equations near the hydrostatic equilibrium	12
Global well-posedness and spatially inhomogeneous Hopf bifurcation in a predator-prey system with indirect predator-taxis	12
Weak asymptotic analysis approach for first order scalar conservation laws with nonlocal flux	12
Rayleigh–Taylor instability of 3D inhomogeneous incompressible Euler equations with damping in a horizontal slab	11
Second-order differential inclusions with two small parameters	11
Persistence and zero-Hopf equilibrium in the tritrophic food chain model with Holling functional response	11
Dynamics of a reaction–diffusion waterborne pathogen model with free boundaries	11
Propagation of nonlocal dispersal competition model with seasonal succession	11
Large relaxation oscillation in slow–fast excitable Brusselator oscillator	11
On a Lotka–Volterra weak competition system with Robin and free boundary conditions	11
Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method	11
An analytical approach to applying the Lyapunov direct method to an epidemic model with age and stage structures	11
Simultaneous stable determination of quasilinear terms for parabolic equations	11
The role of manipulative trophically transmitted parasites in the stability of a predator–prey community	11
Adaptive control for nonlinear cyber–physical systems in the presence of actuator attacks	10
Global dynamics of diffusive Hindmarsh–Rose equations with memristors	10
Global well-posedness for the compressible Euler–Korteweg equations with damping in	10
Global well-posedness of Chemotaxis-Navier–Stokes system with refined rough initial data in	10
On a brain tumor growth model with lactate metabolism, viscoelastic effects, and tissue damage	10
The diffusive Lotka–Volterra competition model in fragmented patches I: Coexistence	10
Stability of the Prandtl boundary layer equation under various boundary conditions	10
A p -Laplacian	10
Two-phase Stefan problem for generalized heat equation with nonlinear thermal coefficients	10
A note to semilinear de Sitter models in 1d with balanced mass and dissipation	9
Axi-symmetric solutions for active vector models generalizing 3D Euler and electron–MHD equations	9
A necessary condition for extremality of solutions to autonomous obstacle problems with general growth	9
A simple proof of uniqueness for the nonlocal positive solutions	9
Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem	9
Extension criterion on the 3D Navier–Stokes equations via partial components in Besov space	9
Existence of positive and nonnegative eigenfunctions for a fourth order operator with definite and indefinite weights	9
Editorial Board	9
Persistence and positive steady states of a two-stage structured population model with mixed dispersals	9
Improvement of several regularity criteria for the Navier–Stokes equations	8
Component-wise Krasnosel’skii type fixed point theorem in product spaces and applications	8
Global Dynamics of Planar Piecewise Linear Inelastic systems having straight lines as switching manifolds	8
On the number of limit cycles in piecewise smooth generalized Abel equations with two asymmetric zones	8
On a bi-stability regime and the existence of odd subharmonics in a Comb-drive MEMS model with cubic stiffness	8
On a multiple time-scales perturbation analysis of a Stefan problem with a time-dependent Dirichlet boundary condition	8
Boundedness and persistence of traveling wave solutions for a non-cooperative lattice-diffusion system with time delay	8
Boundedness in a fully parabolic attraction–repulsion chemotaxis system with nonlinear diffusion and signal-dependent sensitivity	8

Limit cycles of a class of hybrid piecewise differential systems with a discontinuity line of L shape	8
Asymptotic analysis for an age-structured predator–prey model with Beddington–Deangelis functional response	8
Self-similar solutions, regularity and time asymptotics for a nonlinear diffusion equation arising in game theory	8
Nonlinear mountain waves with active precipitation	8
Large Ericksen number limit for the 2D general Ericksen–Leslie system	8
Energy equality of weak solutions of the Navier–Stokes–Fourier equations allowing vacuum	8
Blow-up for a pseudo-parabolic equation with variable nonlinearity depending on	8
Homogenization of a nonlinear drift–diffusion system for multiple charged species in a porous medium	8
Self-similar solutions to a flux-limited Keller–Segel system	8
Improved decay results for micropolar flows with nonlinear damping	8
Higher order asymptotic expansions for the convection–diffusion equation in the Fujita-subcritical case	7
Bifurcation and dynamics of periodic solutions of MEMS model with squeeze film damping	7
Normal forms of Hopf–Bogdanov–Takens bifurcation for retarded differential equations	7
Global dynamics of a diffusive viral infection model with spatial heterogeneity	7
On second order differential inclusion driven by quasi-variational–hemivariational inequalities	7
Modeling and analysis of a two-strain immuno-epidemiological model with reinfection	7
Singular double phase problems with convection	7
Derivation of a bidomain model for bundles of myelinated axons	7
The Riemann problem for a generalised Burgers equation with spatially decaying sound speed. II General qualitative theory and numerical analysis	7
Periodic traveling waves for a diffusive influenza model with treatment and seasonality	7
Asymptotic behaviour of general nonautonomous Nicholson equations with mixed monotonicities	7
Global well-posedness of 2D Hyperbolic perturbation of the Navier–Stokes system in a thin strip	7
Monostable pulsating traveling waves in discrete periodic media with delay	7
Double phase logistic equations with superdiffusive reaction	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
Leray–Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress–strain relation	7
Invasion waves for a class of multi-species non-cooperative systems with nonlocal dispersal	7
Spatial dynamics of a two-strain epidemic model with nonlocal dispersal	7
Topological and control theoretic properties of Hamilton–Jacobi equations via Lax-Oleinik commutators	7
Global solvability of large initial data to three-dimensional compressible MHD equations with density-dependent viscosities	7
Positive steady-state solutions for predator–prey systems with prey-taxis and Dirichlet conditions	7
Global semigroup of conservative weak solutions of the two-component Novikov equation	7
On a limiting system of the triangular SKT competition model with large cross-diffusion and random-diffusion	6
A family of predictor–corrector schemes for a class of variational inequalities	6
Existence and asymptotic properties of aerotaxis model with the Fokker–Planck type diffusion	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
On the boundary stabilization of the KdV–KdV system with time-dependent delay	6
A Liouville-type theorem for the stationary MHD equations	6
Boundary null controllability of degenerate heat equation as the limit of internal controllability	6
Dynamics of a predator–prey system with inducible defense and disease in the prey	6
Two models for sandpile growth in weighted graphs	6
Coefficient identification of the regularized p-Stokes equations	6
Stability of viscous contact wave for the radiative and reactive gas with free boundary	6
New generalization of non-autonomous Bernfeld–Haddock conjecture and its proof	6
A new regularized stochastic approximation framework for stochastic inverse problems	6
Parabolic-scalings on large-time behavior of the incompressible Navier–Stokes flow	6
Nodal solutions for anisotropic (p,	6
Nontrivial solutions to affine p-Laplace equations via a perturbation	6
Existence and uniqueness of time-periodic solutions to the Oberbeck–Boussinesq system	6
A bifurcation phenomenon in a singularly perturbed two-phase free boundary problem of phase transition	6
Global bounded weak solution for a 3D chemotaxis-Stokes system with slow 6
Anisotropic Chan–Vese segmentation	6
The Fokker–Planck–Boltzmann equation in low regularity space	6
Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity	6
Editorial Board	6
Higher fractional differentiability for solutions to parabolic equations with double-phase growth	6
Avian–human influenza epidemic model with diffusion, nonlocal delay and spatial homogeneous environment	6
Periodic solutions to history-dependent differential hemivariational inequalities with applications	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
Steady states of the spherically symmetric Vlasov-Poisson system as fixed points of a mass-preserving algorithm	5
Topological properties of solution sets for nonlinear evolution hemivariational inequalities and applications	5
Homogenization of high-contrast media in finite-strain elastoplasticity	5
On the long-time behaviour of solutions to unforced evolution Navier–Stokes equations under Navier boundary conditions	5
Chemotaxis systems with singular sensitivity and logistic source: Boundedness, persistence, absorbing set, and entire solutions	5
Global existence and stabilization in a diffusive predator–prey model with population flux by attractive transition	5
Agent-based pattern formation in a chemostat system with asymmetric dispersal	5
Editorial Board	5
A class of time-dependent quasi-variational–hemivariational inequalities with applications	5
Boundedness of solutions in a predator–prey system with density-dependent motilities and indirect pursuit–evasion interaction	5
Measure differential equation with a nonlinear growth/decay term	5
Global attractors for Moore–Gibson–Thompson thermoelastic extensible beams and Berger plates	5
Determination of unknown thermal coefficients in a non-classical Stefan problem	5
Global boundedness and stabilization in a forager–exploiter model with logistic growth and nonlinear resource consumption	5
Spreading dynamics for an epidemic model of West-Nile virus with shifting environment	5
Global and non-global center conditions of generalized Liénard systems	5
Self-similar solutions for the heat equation with a positive non-Lipschitz continuous, semilinear source term	5
Existence of solution for a singular elliptic system with convection terms	5

Weak solutions for contact models involving a class of generalized materials	5
Grow-up of weak solutions in a p-Laplacian pseudo-parabolic problem	5
Local stability and topological structure of completely integrable differential systems	5
Junction in a thin multi-domain for nonsimple grade two materials in BH	5
Editorial Board	5
Global boundedness in a two-species attraction–repulsion chemotaxis system with two chemicals and nonlinear productions	5
Decay mild solutions of Hilfer fractional differential variational–hemivariational inequalities	5
Boundedness in a two-dimensional attraction–repulsion Navier–Stokes system with consumption of chemoattractant and sub-quadratic degradation	5
Coexistence of two species with intra- and interspecific competition in an unstirred chemostat	5
Spatio-temporal dynamics of a reaction–diffusion–advection food-limited system with nonlocal delayed competition and Dirichlet boundary condition	5
Traveling wave fronts for a diffusive spruce budworm model with spatio-temporal delay	5
Global existence and boundedness of solutions to a two-dimensional forager-exploiter model with/without logistic source	4
A HANDY-type model with non renewable resources	4
Global existence in a food chain model consisting of two competitive preys, one predator and chemotaxis	4
Persistence or disappearance dynamics of a vector-borne disease model with climate change and distributed delay	4
Asymptotic limits of dissipative turbulent solutions to a compressible two-fluid model	4
Generalized anisotropic elliptic Wentzell problems with nonstandard growth conditions	4
A new concept of instability and spatial patterns	4
Energy equality for the tropical climate models	4
Existence and global behaviour of solutions of a parabolic problem involving the fractional	4
Exponential decay rate of a nonlinear suspension bridge model by a local distributed and boundary dampings	4
Global well-posedness of full compressible magnetohydrodynamic system in 3D bounded domains with large oscillations and vacuum	4
Global weak solutions to a quantum kinetic-fluid model with large initial data	4
Penalty method for solving a class of stochastic differential variational inequalities with an application	4
Global well-posedeness and large time asymptotic behavior of 2D density-dependent Boussinesq equations of Korteweg type with vacuum	4
Blow-up of a nonlinear reaction–diffusion system with nonlocal weighted exponential boundary condition	4
The Riemann problem for the nonisentropic Baer–Nunziato model of two-phase flows	4
A quasilinear attraction–repulsion chemotaxis system with logistic source	4
Solvability of the fractional hyperbolic Keller–Segel system	4
Existence of weak solutions for nonisothermal immiscible compressible two-phase flow in porous media	4
On the Fučík spectrum of the p	4
Continuous dependence on the initial and flux functions for solutions of conservation laws	4
Unbounded perturbation of an evolution hemivariational inequality	4
Stability results for a hierarchical size-structured population model with distributed delay	4
Global solution to the Cauchy problem for nonlinear three-dimensional thermoelasticity of nonsimple materials	4
Variational methods for fluid–structure interaction and porous media	4
Propagation dynamics of a Lotka–Volterra competition model with stage structure in time–space periodic environment	4
Differential variational–hemivariational inequalities with application to contact mechanics	4
Lyapunov-type stability criterion for periodic generalized Camassa–Holm equations	4
Stability analysis of an age-structured epidemic model with vaccination and standard incidence rate	4
A note on a very recent paper “Feedback control for nonlinear evolutionary equations with applications”	4
On the global well-posedness for the incompressible four-component chemotaxis-Navier–Stokes equations with gradient-dependent flux limitation in 4
Vanishing viscosity limit for hyperbolic system of Temple class in 1-d with nonlinear viscosity	4
Coexistence states for a class of prey–predator models with population flux by attractive transition	4
Superlinear degradation in a doubly degenerate nutrient taxis system	4
Qualitative analysis of smooth solution for the Euler equations of Chaplygin gas	4
Variational approach to the periodic problem for a nonlinear parabolic equation in Musielak–Orlicz spaces	4
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]	4
Weak–strong uniqueness for heat conducting non-Newtonian incompressible fluids	4
Invasion analysis of a reaction–diffusion-advection predator–prey model in spatially heterogeneous environment	4
Asymptotic behaviors of global weak solutions for an epitaxial thin film growth equation	4
A remark on the regularity criterion for the 3D Navier–Stokes equations in terms of two vorticity components	4
Non-convex sweeping processes in contact mechanics	4
A Poincaré–Hopf formula for functionals associated to quasilinear elliptic systems	4
Multiple solutions for nonlinear Sturm–Liouville differential equations with possibly negative variable coefficients	4
On a semilinear pseudo-parabolic equation with nonlinear convolution terms	4
Orbital stability of solitary waves on a ferrofluid jet	4
Degenerate codimension-2 cusp of limit cycles in a Holling–Tanner model with harvesting and anti-predator behavior	4
Existence of global weak solutions to 2D reduced gravity two-and-a-half layer model	4
Classification of positive solutions to p-Laplace equations with crit	4
Riemann boundary value problems for the Chaplygin gas outside a convex cornered wedge	4
Approximate controllability for the μ-version of the	4
Dynamics of a pest-natural enemy model with natural enemy periodic migration described by time delay	4
Multi-channel generalized average sampling and reconstruction over shift invariant spaces	4
On radial solutions for a Fully Non Linear degenerate or singular PDE	4
On global classical solutions of the three dimensional non-relativistic Vlasov–Darwin System	4
A hybrid Krasnosel’skiĭ-Schauder fixed point theorem for systems	4
Pattern formation and qualitative analysis for a vegetation-water model with diffusion	4
Analysis of a degenerate reaction–diffusion anthrax model with spatial heterogeneity	4
Editorial Board	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
Maximal Lp	3
Diffusion–convection reaction equations with sign-changing diffusivity and bistable reaction term	3
Fractional regularity for conservation laws with discontinuous flux	3
Global well-posedness and vanishing parameters limits for the systems of ferrohydrodynamics	3
Role of seasonality and spatial heterogeneous in the transmission dynamics of avian influenza	3
Zero-viscosity limit for Boussinesq equations with vertical viscosity and Navier boundary in the half plane	3
The evolving surface Cahn–Hilliard equation with a degenerate mobility	3
Editorial Board	3
Existence of the backward bifurcation of a non-markovian SIS-network model with saturation treatment function	3
A nonlinear model for marble sulphation including surface rugosity and mechanical damage	3
Editorial Board	3
Existence of weak solutions to a Cahn–Hilliard–Biot system	3
A geometric analysis of the impact of large but finite switching rates on vaccination evolutionary games	3
Well-posedness for magnetoviscoelastic fluids in 3D	3
A nonsmooth optimization approach for time-dependent hemivariational inequalities	3
Analysis of a chemotaxis-SIS epidemic model with unbounded infection force	3
Asymptotic behavior of thin ferroelectric models	3
Energy equality for the 3D inhomogeneous Navier–Stokes equations in Lorentz–Besov spaces	3
Low Mach number limit of the compressible Navier–Stokes–Cattaneo equations with general initial data	3
A generalized Duffing equation with the Coulomb’s friction law and Signorini–type contact conditions	3
Dynamics and steady-state analysis of a consumer-resource model	3
Coexistence states in a cross-diffusion system of a competition model	3
Continuous data assimilation for the 3D Ladyzhenskaya model: analysis and computations	3