Nonlinear Analysis-Real World Applications

Article	Citations
Forced waves and gap formations for a Lotka–Volterra competition model with nonlocal dispersal and shifting habitats	45
Consequences of refuge and diffusion in a spatiotemporal predator–prey model	36
A geometric analysis of the SIR, SIRS and SIRWS epidemiological models	33
Global stability of SAIRS epidemic models	32
A mathematical model for Lassa fever transmission dynamics in a seasonal environment with a view to the 2017–20 epidemic in Nigeria	29
Existence and multiplicity of solutions to concave–convex-type double-phase problems with variable exponent	26
Bifurcation analysis of a Leslie-type predator–prey system with simplified Holling type IV functional response and strong Allee effect on prey	25
Mathematical analysis and application of a cholera transmission model with waning vaccine-induced immunity	24
On a phase field model of Cahn–Hilliard type for tumour growth with mechanical effects	23
Mathematical analysis of an age-structured HIV/AIDS epidemic model with HAART and spatial diffusion	21
Bifurcation and stability of a two-species reaction–diffusion–advection competition model	21
Global existence for a class of chemotaxis-consumption systems with signal-dependent motility and generalized logistic source	21
Multi-component generalized Gerdjikov–Ivanov integrable hierarchy and its Riemann–Hilbert problem	21
Dynamics of an intraguild predation food web model with strong Allee effect in the basal prey	20
Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with gradient-dependent flux limitation	19
Global bifurcation in a toxin producing phytoplankton–zooplankton system with prey-taxis	19
Potential well method forp(x	19
Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network	19
Boundedness and stabilization enforced by mild saturation of taxis in a producer–scrounger model	18
Qualitative analysis on an SIRS reaction–diffusion epidemic model with saturation infection mechanism	17
Dynamics of a competing two-strain SIS epidemic model with general infection force on complex networks	17
An improved spatially controlled reaction–diffusion equation with a non-linear second order operator for image super-resolution	17
Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier–Stokes–Fourier fluid and a damped plate equation	17
Human-vector malaria transmission model structured by age, time since infection and waning immunity	16
Resonant double phase equations	16

A class of history-dependent systems of evolution inclusions with applications	15
Well-posedness of constrained evolutionary differential variational–hemivariational inequalities with applications	15
Global bifurcation and pattern formation for a reaction–diffusion predator–prey model with prey-taxis and double Beddington–DeAngelis functional responses	14
On the dynamics of the near-surface currents in the Arctic Ocean	13
Iso-bispectral potentials for Sturm–Liouville-type operators with small delay	13
Analysis on a diffusive multiple Allee effects predator–prey model induced by fear factors	13
On the inhomogeneous biharmonic nonlinear Schrödinger equation: Local, global and stability results	13
Oscillatory and transient dynamics of a slow–fast predator–prey system with fear and its carry-over effect	13
Entropy and renormalized solutions to the general nonlinear elliptic equations in Musielak–Orlicz spaces	12
Bifurcation of limit cycles by perturbing piecewise non-Hamiltonian systems with nonlinear switching manifold	12
Global boundedness and stability of solutions for prey-taxis model with handling and searching predators	12
The time periodic problem of the Navier–Stokes equations in a bounded domain with moving boundary	12
Improvement on the blow-up of the wave equation with the scale-invariant damping and combined nonlinearities	12
Stability and bifurcation in a two-species reaction–diffusion–advection competition model with time delay	11
Time periodic reaction–diffusion equations for modeling 2-LTR dynamics in HIV-infected patients	11
Zero-Hopf bifurcation in a 3D jerk system	11
Predator invasion in predator–prey model with prey-taxis in spatially heterogeneous environment	11
Limit cycle bifurcations of planar piecewise differential systems with three zones	11
Phase portraits of planar piecewise linear refracting systems: Focus-saddle case	11
Turing patterns and spatiotemporal patterns in a tritrophic food chain model with diffusion	11
Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity	11
Stationary solutions of advective Lotka–Volterra models with a weak Allee effect and large diffusion	10
Well-posedness and stability results for the Korteweg–de Vries–Burgers and Kuramoto–Sivashinsky equations with infinite memory: A history approach	10
On the Cauchy problem for semilinear regularity-loss-type σ-evolution	10
Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks	10
Local cyclicity in low degree planar piecewise polynomial vector fields	10
Finite-time blowup in attraction–repulsion systems with nonlinear signal production	10
Regularity criterion for weak solutions to the 3D Navier–Stokes equations via two vorticity components in10
Traveling waves of a diffusive SIR epidemic model with general nonlinear incidence and infinitely distributed latency but without demography	10
Existence and non-existence of solutions for Timoshenko-type equations with variable exponents	10
Ambrosetti–Prodi problems for the Robin (p,	10
Traveling waves for a discrete diffusive SIR epidemic model with treatment	9
Stability analysis of an age-structured epidemic model with vaccination and standard incidence rate	9
Existence and uniqueness of forced waves in a delayed reaction–diffusion equation in a shifting environment	9
Decay mild solutions of Hilfer fractional differential variational–hemivariational inequalities	9
Stabilization in a two dimensional two-species aerotaxis-Navier–Stokes system	9
Blow-up and lifespan estimates of solutions to semilinear Moore–Gibson–Thompson equations	9
Combined effects of nonlinear proliferation and logistic damping in a three-component chemotaxis system for alopecia areata	9
Global boundedness in a chemotaxis quasilinear parabolic predator–prey system with pursuit-evasion	9
Bifurcation diagrams in a class of Kolmogorov systems	9
Boundedness and global stability of the predator–prey model with prey-taxis and competition	9
Global existence of solutions to the Cauchy problem of a two dimensional attraction–repulsion chemotaxis system	9
Feedback control for nonlinear evolutionary equations with applications	9
Limit cycles and global dynamics of planar piecewise linear refracting systems of focus–focus type	8
Propagation dynamics of a three-species nonlocal competitive–cooperative system	8
Periodic solutions for the Lorentz force equation with singular potentials	8
A new non-divergence diffusion equation with variable exponent for multiplicative noise removal	8
Global existence of weak solutions to a signal-dependent Keller–Segel model for local sensing chemotaxis	8
Existence of a fundamental solution of partial differential equations associated to Asian options	8
Global dynamics of a diffusive viral infection model with spatial heterogeneity	8

Weak solutions in nonlinear poroelasticity with incompressible constituents	8
Turing instability and coexistence in an extended Klausmeier model with nonlocal grazing	8
On a class of nonlocal evolution equations with the p	8
Global existence of solutions to a parabolic attraction–repulsion chemotaxis system in	8
Dynamics of a delayed Lotka–Volterra competition model with directed dispersal	8
Existence and multiplicity results for double phase problem with nonlinear boundary condition	8
Pattern formation and qualitative analysis for a vegetation-water model with diffusion	8
Global weak solutions for a 3D chemotaxis–Stokes system with slow p-L	8
Global nonexistence for logarithmic wave equations with nonlinear damping and distributed delay terms	7
Regularity results for solutions to a class of obstacle problems	7
Global phase portraits of planar piecewise linear refracting systems of saddle–saddle type	7
A differential variational inequality in the study of contact problems with wear	7
Monotone iterative method of upper and lower solutions applied to a multilayer combustion model in porous media	7
On the stability of the improved Aw–Rascle–Zhang model with Chaplygin pressure	7
Boundedness and finite-time blow-up in a chemotaxis system with nonlinear signal production	7
Minimax principles for elliptic mixed hemivariational–variational inequalities	7
Blow-up for Strauss type wave equation with damping and potential	7
Well-posedness and simulation results of a coupled denoising PDE	7
Dynamics of an HIV infection model with virus diffusion and latently infected cell activation	7
Spatial dynamics of the lattice Lotka–Volterra competition system in a shifting habitat	7
Global dynamics of a two-species chemotaxis-consumption system with signal-dependent motilities	7
Solitary wave solutions of a Whitham–Boussinesq system	7
A nonlinear viscoelastic plate equation with	7
Multi-component Gerdjikov–Ivanov system and its Riemann–Hilbert problem under zero boundary conditions	7
A dynamical model of echinococcosis with optimal control and cost-effectiveness	6
The impact of Wolbachia on dengue transmission dynamics in an SEI–SIS model	6
Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments	6
Global well-posedness to the 3D Cauchy problem of compressible non-isothermal nematic liquid crystal flows with vacuum	6
Some remarks on the inhomogeneous biharmonic NLS equation	6
A unified approach to periodic solutions for a class of non-autonomous second order Hamiltonian systems	6
Spreading speeds and traveling waves for a time periodic DS-I-A epidemic model	6
Avian–human influenza epidemic model with diffusion, nonlocal delay and spatial homogeneous environment	6
Scattering below the ground state for the intercritical non-radial inhomogeneous NLS	6
Turing instability of the periodic solutions for the diffusive Sel’kov model with saturation effect	6
Global weak solutions to an oncolytic viral therapy model with doubly haptotactic terms	6
Role of seasonality and spatial heterogeneous in the transmission dynamics of avian influenza	6
Propagation fronts in a simplified model of tumor growth with degenerate cross-dependent self-diffusivity	6
Liouville theorem of axially symmetric Navier–Stokes equations with growing velocity at infinity	6
Traveling waves for a Belousov–Zhabotinsky reaction–diffusion system with nonlocal effect	6
Well-posedness of a general class of elliptic mixed hemivariational–variational inequalities	6
The cavitation and concentration of Riemann solutions for the isentropic Euler equations with isothermal dusty gas	6
Dynamics of a predator–prey model with nonlinear growth rate and B–D functional response	6
Global dynamics of two-strain epidemic model with single-strain vaccination in complex networks	6
Spatial diffusion and periodic evolving of domain in an SIS epidemic model	6
Strong solutions to the inhomogeneous Navier–Stokes–BGK system	6
Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole	6
Limit cycles of discontinuous piecewise differential systems formed by linear centers in	6
Local well-posedness of incompressible viscous fluids in bounded cylinders with 90°-contact angle	6
Degenerate codimension-2 cusp of limit cycles in a Holling–Tanner model with harvesting and anti-predator behavior	6
Nonhomogeneous degenerate quasilinear problems with convection	6
Asymptotic behavior of non-autonomous Lamé systems with subcritical and critical mixed nonlinearities	6
Singular properties of solutions for a parabolic equation with variable exponents and logarithmic source	6
Generalized penalty method for history-dependent variational–hemivariational inequalities	5
Some symmetry properties of gyre flows	5
Blow-up in a quasilinear parabolic–elliptic Keller–Segel system with logistic source	5
Analysis of a chemotaxis-SIS epidemic model with unbounded infection force	5
Global well-posedness of the 2D incompressible Navier–Stokes equations with density-dependent viscosity coefficient	5
Global existence, blow-up in finite time and vacuum isolating phenomena for a system of semilinear wave equations associated with the helical flows of Maxwell fluid	5
Stabilization to a positive equilibrium for some reaction–diffusion systems	5
Exponential synchronization of memristive Hindmarsh–Rose neural networks	5
Longtime dynamics for a novel piezoelectric beam model with creep and thermo-viscoelastic effects	5
Odd periodic oscillations in Comb-drive finger actuators	5
Evolution dynamics of a time-delayed reaction–diffusion HIV latent infection model with two strains and periodic therapies	5
Global existence and asymptotic behavior of a two-species competitive Keller–Segel system on	5
The existence and linear stability of periodic solution for a free boundary problem modeling tumor growth with a periodic supply of external nutrients	5
Lipschitz regularity of minimizers of variational integrals with variable exponents	5
Existence and asymptotic properties of aerotaxis model with the Fokker–Planck type diffusion	5
Energy conservation for the weak solutions to the 3D compressible magnetohydrodynamic equations of viscous non-resistive fluids in a bounded domain	5
Existence and multiple of solutions for a class integro-differential equations with singular term via variational and Galerkin methods	5
Bifurcation of limit cycles from a parabolic–parabolic type critical point in a class of planar piecewise smooth quadratic systems	5
Γ-convergence for power-law functionals with variable exponents	5
Local well-posedness for the inhomogeneous nonlinear Schrödinger equation in	5
The Picone identity: A device to get optimal uniqueness results and global dynamics in Population Dynamics	5
Boundedness and asymptotic behavior in a quasilinear chemotaxis system for alopecia areata	5
Stability of the viscoelastic Rayleigh–Taylor problem with internal surface tension	5
Stability of Hartmann shear flows in an open inclined channel	5
Qualitative properties of pulsating fronts for reaction–advection–diffusion equations in periodic excitable media	5
Analysis on a diffusive two-stage epidemic model with logistic growth and saturated incidence rates	5
Longtime dynamics for a nonlinear viscoelastic equation with time-dependent memory kernel	5
Bifurcation analysis in a diffusive Logistic population model with two delayed density-dependent feedback terms	5

Analysis and control of stationary inclusions in contact mechanics	5
Continuous data assimilation for the 3D Ladyzhenskaya model: analysis and computations	5
Boundedness in a fully parabolic attraction–repulsion chemotaxis system with nonlinear diffusion and signal-dependent sensitivity	5
On mathematical analysis of synchronization to bidirectionally coupled Kuramoto oscillators	5
Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation	5
A threshold policy to curb WNV transmission to birds with seasonality	5
Asymptotic stability of the stationary solution to an out-flow problem for the Navier–Stokes–Korteweg equations of compressible fluids	5
Competitive exclusion in a nonlocal reaction–diffusion–advection model of phytoplankton populations	5
Boundedness and large time behavior of solutions to a prey-taxis system accounting in liquid surrounding	5
Asymptotic stability of solutions for some classes of impulsive differential equations with distributed delay	4
Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity	4
Gradient estimates via Riesz potentials and fractional maximal operators for quasilinear elliptic equations with applications	4
A multiscale quasilinear system for colloids deposition in porous media: Weak solvability and numerical simulation of a near-clogging scenario	4
Global dynamics of a reaction–diffusion malaria model	4
Chemotaxis systems with singular sensitivity and logistic source: Boundedness, persistence, absorbing set, and entire solutions	4
Global existence and blow-up of solutions of nonlocal diffusion problems with free boundaries	4
Rigorous derivation and well-posedness of a quasi-homogeneous ideal MHD system	4
Leray–Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress–strain relation	4
Robin double-phase problems with singular and superlinear terms	4
Dynamical analysis of a multi-group SIR epidemic model with nonlocal diffusion and nonlinear incidence rate	4
A regularity criterion for 3D shear thinning fluids in terms of the direction of vorticity	4
Global existence of classical solutions for a class of diffusive ecological models with two free boundaries and cross-diffusion	4
Double phase logistic equations with superdiffusive reaction	4
Semilinear wave equations of derivative type with spatial weights in one space dimension	4
Existence of ground state solutions for a Choquard double phase problem	4
Boundedness and large time behavior for a chemotaxis system with signal-dependent motility and indirect signal consumption	4
On the role of pressure in the theory of MHD equations	4
Uniform in time solutions for a chemotaxis with potential consumption model	4
Coexistence and bistability of a competition model with mixed dispersal strategy	4
On viscous incompressible flows of nonsymmetric fluids with mixed boundary conditions	4
Global solutions for the generalized Camassa–Holm equation	4
Large time behavior in a fractional chemotaxis–Navier–Stokes system with logistic source	4
Dynamics and patterns of species abundance in ocean: A mathematical modeling study	4
Strong solutions of impulsive pseudoparabolic equations	4
Zero-viscosity-capillarity limit to the planar rarefaction wave for the 2D compressible Navier–Stokes–Korteweg equations	4
On a singular parabolic p-biharmonic equation with logarithmic nonlinearity	4
Finite time blow-up in a parabolic–elliptic Keller–Segel system with flux dependent chemotactic coefficient	4
Analysis of a class of Kolmogorov systems	4
Analysis of Maxwell–Stefan systems for heat conducting fluid mixtures	4
Global existence of bounded solutions to the relativistic BGK model	4
Forced waves for diffusive competition systems in shifting environments	4
New insights into pharmacologic inhibition of pyroptotic cell death by necrosulfonamide: A PDE model	4
Wolbachia spreading dynamics in Nilaparvata lugens with two strains	4
The effect of protection zone on asymptotic dynamics of a reaction–diffusion model with a free boundary or unbounded boundary	4
Smoothness effects of a quadratic damping term of mixed type on a chemotaxis-type system modeling propagation of urban crime	3
Dynamical behaviors of a classical Lotka–Volterra competition–diffusion–advection system	3
A sufficient condition for the real Jacobian conjecture in	3
Existence of the backward bifurcation of a non-markovian SIS-network model with saturation treatment function	3
Regularization for a class of quasi-variational-hemivariational inequalities	3
Global existence of weak solutions to a diffuse interface model for magnetic fluids	3
Stabilization by memory effects: Kirchhoff plate versus Euler–Bernoulli plate	3
Dynamics of a predator–prey system with inducible defense and disease in the prey	3
Sonic-supersonic solutions for the two dimensional steady relativistic Euler equations	3
First kind symmetric periodic solutions and their stability for the Kepler problem and anisotropic Kepler problem plus generalized anisotropic perturbation	3
Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method	3
Global existence and finite time blowup for a mixed pseudo-parabolic p	3
On an anisotropic double phase problem with singular and sign changing nonlinearity	3
Dynamical behavior of solutions of a reaction–diffusion model in river network	3
Regularity results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions	3
Exact traveling wave solutions of a geophysical Boussinesq system	3
Existence of solution for a singular elliptic system with convection terms	3
Some minimal bimolecular mass-action systems with limit cycles	3
A topological approach to the problem of chaotic tides	3
Nonexistence of the periodic peaked traveling wave solutions for rotation-Camassa–Holm equation	3
Some new regularity criteria for the Navier–Stokes equations in terms of one directional derivative of the velocity field	3
Asymptotic convergence of solutions to the forest kinematic model	3
Linear stability for a periodic tumor angiogenesis model with free boundary	3
A dynamic Euler–Bernoulli beam equation frictionally damped on an elastic foundation	3
Formation of singularities in solutions to nonlinear hyperbolic systems with general sources	3
Penalty method for solving a class of stochastic differential variational inequalities with an application	3
Variational methods for fluid–structure interaction and porous media	3
Decay estimates for three-dimensional Navier–Stokes equations with damping	3
Global dynamics of diffusive Hindmarsh–Rose equations with memristors	3
Vacuum and singularity formation problem for compressible Euler equations with general pressure law and time-dependent damping	3
Existence and uniqueness of maximal strong solution of a 1D blood flow in a network of vessels	3
Equilibrium and sensitivity analysis of a spatio-temporal host-vector epidemic model	3
Non-uniform dependence for higher dimensional Camassa–Holm equations in Besov spaces	3
The logistic equation with nonlinear advection term	3
Global and exponential attractors for mixtures of solids with Fourier’s law	3
Large time behavior of solutions to the 3D anisotropic Navier–Stokes equation	3
Qualitative behavior of solutions of Liénard-type systems with state-dependent impulses	3
Growth on multiple interactive-essential resources in a self-cycling fermentor: An impulsive differential equations approach	3
The vanishing relaxation time behavior of multi-term nonlocal Jordan–Moore–Gibson–Thompson equations	3
Quasi-variational problems with non-self map on Banach spaces: Existence and applications	3
Hamiltonian regularisation of the unidimensional barotropic Euler equations	3
Solitary waves of a generalized Ostrovsky equation	3
On globally large smooth solutions of full compressible Navier–Stokes equations with moving boundary and temperature-dependent heat-conductivity	3
Global existence in a food chain model consisting of two competitive preys, one predator and chemotaxis	3
Blow-up phenomena for a damped plate equation with logarithmic nonlinearity	3
Exponential decay rate of a nonlinear suspension bridge model by a local distributed and boundary dampings	3
On a periodic age-structured mosquito population model with spatial structure	3
Positive steady-state solutions for predator–prey systems with prey-taxis and Dirichlet conditions	3
On positive periodic solutions to second-order differential equations with a sub-linear non-linearity	3
A generalized Degn–Harrison reaction–diffusion system: Asymptotic stability and non-existence results	3
SIS reaction–diffusion model with risk-induced dispersal under free boundary	3