Nonlinear Analysis-Real World Applications

Article	Citations
Concentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of state	53
Forced waves and gap formations for a Lotka–Volterra competition model with nonlocal dispersal and shifting habitats	41
Analysis of a delayed and diffusive oncolytic M1 virotherapy model with immune response	35
Consequences of refuge and diffusion in a spatiotemporal predator–prey model	35
Stability and cross-diffusion-driven instability in a diffusive predator–prey system with hunting cooperation functional response	32
A geometric analysis of the SIR, SIRS and SIRWS epidemiological models	31
Coexistence of the solitary and periodic waves in convecting shallow water fluid	28
Global stability of SAIRS epidemic models	24
Eco-epidemiological model with fatal disease in the prey	22
Bifurcation analysis of a Leslie-type predator–prey system with simplified Holling type IV functional response and strong Allee effect on prey	22
Trajectory statistical solutions for the 3D Navier–Stokes equations: The trajectory attractor approach	22
Mathematical analysis and application of a cholera transmission model with waning vaccine-induced immunity	22
A mathematical model for Lassa fever transmission dynamics in a seasonal environment with a view to the 2017–20 epidemic in Nigeria	21
On a phase field model of Cahn–Hilliard type for tumour growth with mechanical effects	21
Mathematical analysis of an age-structured HIV/AIDS epidemic model with HAART and spatial diffusion	20
Persistence and extinction of nonlocal dispersal evolution equations in moving habitats	20
Existence and multiplicity of solutions to concave–convex-type double-phase problems with variable exponent	19
Qualitative analysis on a diffusive SIS epidemic system with logistic source and spontaneous infection in a heterogeneous environment	19
Bifurcation and stability of a two-species reaction–diffusion–advection competition model	19
Minimization principles for elliptic hemivariational inequalities	18
On the solutions for an Ostrovsky type equation	18
Dynamics of an intraguild predation food web model with strong Allee effect in the basal prey	17
Dynamics of a waterborne pathogen model with spatial heterogeneity and general incidence rate	17
Qualitative analysis on a diffusive age-structured heroin transmission model	16
Traveling wave solutions for a predator–prey system with two predators and one prey	16

Qualitative analysis on an SIRS reaction–diffusion epidemic model with saturation infection mechanism	16
Coexistence in seasonally varying predator–prey systems with Allee effect	16
Global existence for a class of chemotaxis-consumption systems with signal-dependent motility and generalized logistic source	16
Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with gradient-dependent flux limitation	16
Global bifurcation in a toxin producing phytoplankton–zooplankton system with prey-taxis	16
Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier–Stokes–Fourier fluid and a damped plate equation	16
Potential well method forp(x	16
Human-vector malaria transmission model structured by age, time since infection and waning immunity	15
Boundedness and stabilization enforced by mild saturation of taxis in a producer–scrounger model	15
An improved spatially controlled reaction–diffusion equation with a non-linear second order operator for image super-resolution	15
Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network	15
Multi-component generalized Gerdjikov–Ivanov integrable hierarchy and its Riemann–Hilbert problem	15
A global mathematical model of malaria transmission dynamics with structured mosquito population and temperature variations	15
A class of history-dependent systems of evolution inclusions with applications	15
On the inhomogeneous biharmonic nonlinear Schrödinger equation: Local, global and stability results	14
Dynamics of a competing two-strain SIS epidemic model with general infection force on complex networks	14
Resonant double phase equations	13
Well-posedness of constrained evolutionary differential variational–hemivariational inequalities with applications	13
Dynamic behaviors of a predator–prey model with weak additive Allee effect on prey	13
Analysis on a diffusive multiple Allee effects predator–prey model induced by fear factors	12
Weak–strong uniqueness for the Landau–Lifshitz–Gilbert equation in micromagnetics	12
Global bifurcation and pattern formation for a reaction–diffusion predator–prey model with prey-taxis and double Beddington–DeAngelis functional responses	12
Bifurcation of limit cycles by perturbing piecewise non-Hamiltonian systems with nonlinear switching manifold	12
Synchronization of boundary coupled Hindmarsh–Rose neuron network	11
Spatial-temporal risk index and transmission of a nonlocal dengue model	11
Existence ofω-periodic solutions for a delayed chemostat with periodi	11
Global boundedness and stability of solutions for prey-taxis model with handling and searching predators	11
Improvement on the blow-up of the wave equation with the scale-invariant damping and combined nonlinearities	11
Singular quasilinear elliptic systems involving gradient terms	11
Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer–van der Pol oscillator	10
Iso-bispectral potentials for Sturm–Liouville-type operators with small delay	10
Stability and bifurcation in a two-species reaction–diffusion–advection competition model with time delay	10
Complicated oscillations and non-resonant double Hopf bifurcation of multiple feedback delayed control system of the gut microbiota	10
Entropy and renormalized solutions to the general nonlinear elliptic equations in Musielak–Orlicz spaces	10
Time periodic reaction–diffusion equations for modeling 2-LTR dynamics in HIV-infected patients	10
Existence and non-existence of solutions for Timoshenko-type equations with variable exponents	10
Stationary solutions of advective Lotka–Volterra models with a weak Allee effect and large diffusion	10
Regularity criterion for weak solutions to the 3D Navier–Stokes equations via two vorticity components in9
Boundedness and global stability of the predator–prey model with prey-taxis and competition	9
Well-posedness and stability results for the Korteweg–de Vries–Burgers and Kuramoto–Sivashinsky equations with infinite memory: A history approach	9
Large time behavior of solutions to a quasilinear attraction–repulsion chemotaxis system with logistic source	9
Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity	9
On the Cauchy problem for semilinear regularity-loss-type σ-evolution	9
Turing patterns and spatiotemporal patterns in a tritrophic food chain model with diffusion	9
Stabilization in a two dimensional two-species aerotaxis-Navier–Stokes system	9
Global existence of solutions to the Cauchy problem of a two dimensional attraction–repulsion chemotaxis system	9
Zero-Hopf bifurcation in a 3D jerk system	9
The time periodic problem of the Navier–Stokes equations in a bounded domain with moving boundary	9
Phase portraits of planar piecewise linear refracting systems: Focus-saddle case	9
Global existence of solutions to a parabolic attraction–repulsion chemotaxis system in	9

The end-point regularity criterion for the Navier–Stokes equations in terms of	9
Local cyclicity in low degree planar piecewise polynomial vector fields	9
Limit cycle bifurcations of planar piecewise differential systems with three zones	9
Finite-time blowup in attraction–repulsion systems with nonlinear signal production	9
Global boundedness in a chemotaxis quasilinear parabolic predator–prey system with pursuit-evasion	9
On the dynamics of the near-surface currents in the Arctic Ocean	8
Traveling waves of a diffusive SIR epidemic model with general nonlinear incidence and infinitely distributed latency but without demography	8
Traveling waves for a discrete diffusive SIR epidemic model with treatment	8
Dynamics of adaptation in an anisotropic phenotype-fitness landscape	8
Dynamics of a delayed Lotka–Volterra competition model with directed dispersal	8
Ambrosetti–Prodi problems for the Robin (p,	8
Limit cycles and global dynamics of planar piecewise linear refracting systems of focus–focus type	8
Global existence and asymptotic stability in a predator–prey chemotaxis model	8
Periodic traveling wave of a time periodic and diffusive epidemic model with nonlocal delayed transmission	8
Periodic solutions for the Lorentz force equation with singular potentials	8
Existence of weak solutions to the Keller–Segel chemotaxis system with additional cross-diffusion	8
Bifurcation diagrams in a class of Kolmogorov systems	8
Global dynamics of a diffusive viral infection model with spatial heterogeneity	8
Existence and uniqueness of forced waves in a delayed reaction–diffusion equation in a shifting environment	8
Predator invasion in predator–prey model with prey-taxis in spatially heterogeneous environment	8
Oscillatory and transient dynamics of a slow–fast predator–prey system with fear and its carry-over effect	8
Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks	7
Weak solutions in nonlinear poroelasticity with incompressible constituents	7
Radial stability of periodic orbits of damped Keplerian-like systems	7
Feedback control for nonlinear evolutionary equations with applications	7
Combined effects of nonlinear proliferation and logistic damping in a three-component chemotaxis system for alopecia areata	7
Stationary solutions to outflow problem for 1-D compressible fluid models of Korteweg type: Existence, stability and convergence rate	7
Qualitative analysis of a curvature equation modelling MEMS with vertical loads	7
Existence and uniqueness of solution of free boundary problem with partially degenerate diffusion	7
Global existence of weak solutions to a signal-dependent Keller–Segel model for local sensing chemotaxis	7
Propagation dynamics of a three-species nonlocal competitive–cooperative system	7
Minimax principles for elliptic mixed hemivariational–variational inequalities	7
Some remarks on the inhomogeneous biharmonic NLS equation	7
Solitary wave solutions of a Whitham–Boussinesq system	7
Blow-up for Strauss type wave equation with damping and potential	7
Asymptotic stability of the stationary solution to an out-flow problem for the Navier–Stokes–Korteweg equations of compressible fluids	7
Monotone iterative method of upper and lower solutions applied to a multilayer combustion model in porous media	7
On a class of nonlocal evolution equations with the p	7
Boundedness and finite-time blow-up in a chemotaxis system with nonlinear signal production	7
Stability analysis of an age-structured epidemic model with vaccination and standard incidence rate	7
Global dynamics of a two-species chemotaxis-consumption system with signal-dependent motilities	7
Global phase portraits of planar piecewise linear refracting systems of saddle–saddle type	7
A nonlinear viscoelastic plate equation with	7
A new non-divergence diffusion equation with variable exponent for multiplicative noise removal	7
Decay mild solutions of Hilfer fractional differential variational–hemivariational inequalities	7
On the stability of the improved Aw–Rascle–Zhang model with Chaplygin pressure	7
Stability of the viscoelastic Rayleigh–Taylor problem with internal surface tension	6
Mathematical analysis and optimal control of a cholera epidemic in different human communities with individuals’ migration	6
Existence of a fundamental solution of partial differential equations associated to Asian options	6
A dynamical model of echinococcosis with optimal control and cost-effectiveness	6
A generalized infectious model induced by the contacting distance (CTD)	6
A unified approach to periodic solutions for a class of non-autonomous second order Hamiltonian systems	6
Blow-up and lifespan estimates of solutions to semilinear Moore–Gibson–Thompson equations	6
Multi-component Gerdjikov–Ivanov system and its Riemann–Hilbert problem under zero boundary conditions	6
Global weak solutions for a 3D chemotaxis–Stokes system with slow p-L	6
Blow-up in a quasilinear parabolic–elliptic Keller–Segel system with logistic source	6
Spatial dynamics of the lattice Lotka–Volterra competition system in a shifting habitat	6
Existence and multiplicity results for double phase problem with nonlinear boundary condition	6
A differential variational inequality in the study of contact problems with wear	6
Well-posedness and simulation results of a coupled denoising PDE	6
Global existence and asymptotic behavior of a two-species competitive Keller–Segel system on	6
Global strong solutions for variable density incompressible asymmetric fluids in thin domains	6
Strong solutions to the inhomogeneous Navier–Stokes–BGK system	6
Liouville theorem of axially symmetric Navier–Stokes equations with growing velocity at infinity	6
The anisotropic regularity criteria for 3D Navier–Stokes equations involving one velocity component	6
Well-posedness of a general class of elliptic mixed hemivariational–variational inequalities	6
Miridae control using sex-pheromone traps. Modeling, analysis and simulations	5
Nonhomogeneous degenerate quasilinear problems with convection	5
A threshold policy to curb WNV transmission to birds with seasonality	5
Asymptotic behavior of non-autonomous Lamé systems with subcritical and critical mixed nonlinearities	5
Analysis of a chemotaxis-SIS epidemic model with unbounded infection force	5
The impact of Wolbachia on dengue transmission dynamics in an SEI–SIS model	5
Boundedness and large time behavior of solutions to a prey-taxis system accounting in liquid surrounding	5
Global nonexistence for logarithmic wave equations with nonlinear damping and distributed delay terms	5
Generalized penalty method for history-dependent variational–hemivariational inequalities	5
Nonlinear nonhomogeneous Robin problems with gradient dependent reaction	5
Propagation fronts in a simplified model of tumor growth with degenerate cross-dependent self-diffusivity	5
Local well-posedness for the inhomogeneous nonlinear Schrödinger equation in	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

The Picone identity: A device to get optimal uniqueness results and global dynamics in Population Dynamics	5
Evolution dynamics of a time-delayed reaction–diffusion HIV latent infection model with two strains and periodic therapies	5
Stability of Hartmann shear flows in an open inclined channel	5
Energy conservation for the weak solutions to the 3D compressible magnetohydrodynamic equations of viscous non-resistive fluids in a bounded domain	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
Spatial diffusion and periodic evolving of domain in an SIS epidemic model	5
Analysis and control of stationary inclusions in contact mechanics	5
Limit cycles of discontinuous piecewise differential systems formed by linear centers in	5
Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments	5
Global stability of rarefaction waves for a viscous radiative and reactive gas with temperature-dependent viscosity	5
Turing instability and coexistence in an extended Klausmeier model with nonlocal grazing	5
A sub-supersolution approach for Neumann boundary value problems with gradient dependence	5
Global weak solutions to an oncolytic viral therapy model with doubly haptotactic terms	5
Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force	5
Global dynamics of two-strain epidemic model with single-strain vaccination in complex networks	5
Scattering below the ground state for the intercritical non-radial inhomogeneous NLS	5
Global well-posedness of the 2D incompressible Navier–Stokes equations with density-dependent viscosity coefficient	5
Singular properties of solutions for a parabolic equation with variable exponents and logarithmic source	5
Modeling and analysis of recurrent autoimmune disease	5
Longtime dynamics for a nonlinear viscoelastic equation with time-dependent memory kernel	5
Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole	5
Regularity results for solutions to a class of obstacle problems	5