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	39
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	33
Stability and cross-diffusion-driven instability in a diffusive predator–prey system with hunting cooperation functional response	31
Finite-time blow-up in a two-dimensional Keller–Segel system with an environmental dependent logistic source	29
A geometric analysis of the SIR, SIRS and SIRWS epidemiological models	29
Coexistence of the solitary and periodic waves in convecting shallow water fluid	25
Global stability of SAIRS epidemic models	24
Trajectory statistical solutions for the 3D Navier–Stokes equations: The trajectory attractor approach	22
Concentration of mass in the pressureless limit of the Euler equations of one-dimensional compressible fluid flow	21
On a phase field model of Cahn–Hilliard type for tumour growth with mechanical effects	21
Mathematical analysis and application of a cholera transmission model with waning vaccine-induced immunity	21
Eco-epidemiological model with fatal disease in the prey	21
Bifurcation analysis of a Leslie-type predator–prey system with simplified Holling type IV functional response and strong Allee effect on prey	21
A mathematical model for Lassa fever transmission dynamics in a seasonal environment with a view to the 2017–20 epidemic in Nigeria	19
Qualitative analysis on a diffusive SIS epidemic system with logistic source and spontaneous infection in a heterogeneous environment	19
Persistence and extinction of nonlocal dispersal evolution equations in moving habitats	19
On the solutions for an Ostrovsky type equation	18
Dynamics of a waterborne pathogen model with spatial heterogeneity and general incidence rate	17
Existence and multiplicity of solutions to concave–convex-type double-phase problems with variable exponent	17
Bifurcation and stability of a two-species reaction–diffusion–advection competition model	17
Coexistence in seasonally varying predator–prey systems with Allee effect	16
Traveling wave solutions for a predator–prey system with two predators and one prey	16
Minimization principles for elliptic hemivariational inequalities	16

Mathematical analysis of an age-structured HIV/AIDS epidemic model with HAART and spatial diffusion	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	15
Global bifurcation in a toxin producing phytoplankton–zooplankton system with prey-taxis	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
Qualitative analysis on a diffusive age-structured heroin transmission model	15
Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier–Stokes–Fourier fluid and a damped plate equation	15
Potential well method forp(x	15
A global mathematical model of malaria transmission dynamics with structured mosquito population and temperature variations	15
Dynamics of an intraguild predation food web model with strong Allee effect in the basal prey	15
Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network	14
Human-vector malaria transmission model structured by age, time since infection and waning immunity	14
On the inhomogeneous biharmonic nonlinear Schrödinger equation: Local, global and stability results	13
Dynamics of a competing two-strain SIS epidemic model with general infection force on complex networks	13
Qualitative analysis on an SIRS reaction–diffusion epidemic model with saturation infection mechanism	13
Resonant double phase equations	13
A class of history-dependent systems of evolution inclusions with applications	13
Multi-component generalized Gerdjikov–Ivanov integrable hierarchy and its Riemann–Hilbert problem	13
Well-posedness of constrained evolutionary differential variational–hemivariational inequalities with applications	13
Weak–strong uniqueness for the Landau–Lifshitz–Gilbert equation in micromagnetics	12
Analysis on a diffusive multiple Allee effects predator–prey model induced by fear factors	12
Improvement on the blow-up of the wave equation with the scale-invariant damping and combined nonlinearities	11
Spatial-temporal risk index and transmission of a nonlocal dengue model	11
Existence ofω-periodic solutions for a delayed chemostat with periodi	11
Singular quasilinear elliptic systems involving gradient terms	11
Dynamic behaviors of a predator–prey model with weak additive Allee effect on prey	11
Synchronization of boundary coupled Hindmarsh–Rose neuron network	11
Bifurcation of limit cycles by perturbing piecewise non-Hamiltonian systems with nonlinear switching manifold	11
Existence and non-existence of solutions for Timoshenko-type equations with variable exponents	10
Finite-time blowup in attraction–repulsion systems with nonlinear signal production	10
Positive periodic solutions for Lotka–Volterra systems with a general attack rate	10
Global boundedness and stability of solutions for prey-taxis model with handling and searching predators	10
Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer–van der Pol oscillator	9
Complicated oscillations and non-resonant double Hopf bifurcation of multiple feedback delayed control system of the gut microbiota	9
Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity	9
Stationary solutions of advective Lotka–Volterra models with a weak Allee effect and large diffusion	9
Time periodic reaction–diffusion equations for modeling 2-LTR dynamics in HIV-infected patients	9
Global existence of solutions to the Cauchy problem of a two dimensional attraction–repulsion chemotaxis system	9
Entropy and renormalized solutions to the general nonlinear elliptic equations in Musielak–Orlicz spaces	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
Stability and bifurcation in a two-species reaction–diffusion–advection competition model with time delay	9
Turing patterns and spatiotemporal patterns in a tritrophic food chain model with diffusion	9
Limit cycle bifurcations of planar piecewise differential systems with three zones	9
Global boundedness in a chemotaxis quasilinear parabolic predator–prey system with pursuit-evasion	9
The time periodic problem of the Navier–Stokes equations in a bounded domain with moving boundary	9
Global bifurcation and pattern formation for a reaction–diffusion predator–prey model with prey-taxis and double Beddington–DeAngelis functional responses	9
The end-point regularity criterion for the Navier–Stokes equations in terms of	9
Periodic traveling wave of a time periodic and diffusive epidemic model with nonlocal delayed transmission	8

Traveling waves of a diffusive SIR epidemic model with general nonlinear incidence and infinitely distributed latency but without demography	8
Global dynamics of a two-species chemotaxis-consumption system with signal-dependent motilities	8
Iso-bispectral potentials for Sturm–Liouville-type operators with small delay	8
On the Cauchy problem for semilinear regularity-loss-type σ-evolution	8
Predator invasion in predator–prey model with prey-taxis in spatially heterogeneous environment	8
Global existence and asymptotic stability in a predator–prey chemotaxis model	8
Dynamics of adaptation in an anisotropic phenotype-fitness landscape	8
Large time behavior of solutions to a quasilinear attraction–repulsion chemotaxis system with logistic source	8
Traveling waves for a discrete diffusive SIR epidemic model with treatment	8
Bifurcation diagrams in a class of Kolmogorov systems	8
Stabilization in a two dimensional two-species aerotaxis-Navier–Stokes system	8
Periodic solutions for the Lorentz force equation with singular potentials	8
Ambrosetti–Prodi problems for the Robin (p,	8
Well-posedness and stability results for the Korteweg–de Vries–Burgers and Kuramoto–Sivashinsky equations with infinite memory: A history approach	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
Zero-Hopf bifurcation in a 3D jerk system	7
Limit cycles and global dynamics of planar piecewise linear refracting systems of focus–focus type	7
Boundedness and finite-time blow-up in a chemotaxis system with nonlinear signal production	7
Weak solutions in nonlinear poroelasticity with incompressible constituents	7
Solitary wave solutions of a Whitham–Boussinesq system	7
Feedback control for nonlinear evolutionary equations with applications	7
A nonlinear viscoelastic plate equation with	7
On a class of nonlocal evolution equations with the p	7
Existence and uniqueness of solution of free boundary problem with partially degenerate diffusion	7
Regularity criterion for weak solutions to the 3D Navier–Stokes equations via two vorticity components in7
Dynamics of a delayed Lotka–Volterra competition model with directed dispersal	7
Boundedness and global stability of the predator–prey model with prey-taxis and competition	7
Local cyclicity in low degree planar piecewise polynomial vector fields	7
Blow-up for Strauss type wave equation with damping and potential	7
Qualitative analysis of a curvature equation modelling MEMS with vertical loads	7
Global existence of weak solutions to a signal-dependent Keller–Segel model for local sensing chemotaxis	7
Global dynamics of a diffusive viral infection model with spatial heterogeneity	7
Spatial dynamics of the lattice Lotka–Volterra competition system in a shifting habitat	7
Existence and uniqueness of forced waves in a delayed reaction–diffusion equation in a shifting environment	7
Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks	6
Some remarks on the inhomogeneous biharmonic NLS equation	6
The anisotropic regularity criteria for 3D Navier–Stokes equations involving one velocity component	6
Blow-up and lifespan estimates of solutions to semilinear Moore–Gibson–Thompson equations	6
A new non-divergence diffusion equation with variable exponent for multiplicative noise removal	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
On the dynamics of the near-surface currents in the Arctic Ocean	6
Liouville theorem of axially symmetric Navier–Stokes equations with growing velocity at infinity	6
Radial stability of periodic orbits of damped Keplerian-like systems	6
Combined effects of nonlinear proliferation and logistic damping in a three-component chemotaxis system for alopecia areata	6
Well-posedness and simulation results of a coupled denoising PDE	6
Blow-up result and energy decay rates for binary mixtures of solids with nonlinear damping and source terms	6
Global existence and asymptotic behavior of a two-species competitive Keller–Segel system on	6
Existence of weak solutions to the Keller–Segel chemotaxis system with additional cross-diffusion	6
Blow-up in a quasilinear parabolic–elliptic Keller–Segel system with logistic source	6
Global weak solutions to an oncolytic viral therapy model with doubly haptotactic terms	6
A generalized infectious model induced by the contacting distance (CTD)	6
Existence and multiplicity results for double phase problem with nonlinear boundary condition	6
A unified approach to periodic solutions for a class of non-autonomous second order Hamiltonian systems	6
Stationary solutions to outflow problem for 1-D compressible fluid models of Korteweg type: Existence, stability and convergence rate	6
Asymptotic stability of the stationary solution to an out-flow problem for the Navier–Stokes–Korteweg equations of compressible fluids	6
Global strong solutions for variable density incompressible asymmetric fluids in thin domains	6
Mathematical analysis and optimal control of a cholera epidemic in different human communities with individuals’ migration	6
Strong solutions to the inhomogeneous Navier–Stokes–BGK system	6
Energy conservation for the weak solutions to the 3D compressible magnetohydrodynamic equations of viscous non-resistive fluids in a bounded domain	5
A dynamical model of echinococcosis with optimal control and cost-effectiveness	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
Global stability of rarefaction waves for a viscous radiative and reactive gas with temperature-dependent viscosity	5
Regularity results for solutions to a class of obstacle problems	5
A differential variational inequality in the study of contact problems with wear	5
The Picone identity: A device to get optimal uniqueness results and global dynamics in Population Dynamics	5
Scattering below the ground state for the intercritical non-radial inhomogeneous NLS	5
Decay mild solutions of Hilfer fractional differential variational–hemivariational inequalities	5
Global well-posedness of the 2D incompressible Navier–Stokes equations with density-dependent viscosity coefficient	5
Generalized penalty method for history-dependent variational–hemivariational inequalities	5
Existence of a fundamental solution of partial differential equations associated to Asian options	5
Propagation dynamics of a three-species nonlocal competitive–cooperative system	5
Minimax principles for elliptic mixed hemivariational–variational inequalities	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
Stability of the viscoelastic Rayleigh–Taylor problem with internal surface tension	5
Stability of Hartmann shear flows in an open inclined channel	5
The impact of Wolbachia on dengue transmission dynamics in an SEI–SIS model	5

Global nonexistence for logarithmic wave equations with nonlinear damping and distributed delay terms	5
Analysis and control of stationary inclusions in contact mechanics	5
Nonlinear nonhomogeneous Robin problems with gradient dependent reaction	5
Stability analysis of an age-structured epidemic model with vaccination and standard incidence rate	5
Miridae control using sex-pheromone traps. Modeling, analysis and simulations	5
Odd periodic oscillations in Comb-drive finger actuators	5
Global phase portraits of planar piecewise linear refracting systems of saddle–saddle type	5
Asymptotic behavior of non-autonomous Lamé systems with subcritical and critical mixed nonlinearities	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
Global dynamics of a general competitive reaction–diffusion–advection system in one dimensional environments	4
Role of seasonality and spatial heterogeneous in the transmission dynamics of avian influenza	4
On the role of pressure in the theory of MHD equations	4
A multiscale quasilinear system for colloids deposition in porous media: Weak solvability and numerical simulation of a near-clogging scenario	4
Wolbachia spreading dynamics in Nilaparvata lugens with two strains	4
Asymptotic stability of solutions for some classes of impulsive differential equations with distributed delay	4
Spreading speeds and traveling waves for a time periodic DS-I-A epidemic model	4
Large time behavior in a fractional chemotaxis–Navier–Stokes system with logistic source	4
A threshold policy to curb WNV transmission to birds with seasonality	4
Global dynamics of two-strain epidemic model with single-strain vaccination in complex networks	4
Dynamics of an HIV infection model with virus diffusion and latently infected cell activation	4
Boundedness and large time behavior of solutions to a prey-taxis system accounting in liquid surrounding	4
Analysis of a class of Kolmogorov systems	4
A regularity criterion for 3D shear thinning fluids in terms of the direction of vorticity	4
Spatial diffusion and periodic evolving of domain in an SIS epidemic model	4
Nonexistence of the periodic peaked traveling wave solutions for rotation-Camassa–Holm equation	4
Stabilization to a positive equilibrium for some reaction–diffusion systems	4
Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments	4
Dynamics and patterns of species abundance in ocean: A mathematical modeling study	4
Local well-posedness for the inhomogeneous nonlinear Schrödinger equation in	4
Oscillatory and transient dynamics of a slow–fast predator–prey system with fear and its carry-over effect	4
On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s	4
Analysis of a chemotaxis-SIS epidemic model with unbounded infection force	4
Longtime dynamics for a novel piezoelectric beam model with creep and thermo-viscoelastic effects	4
Some symmetry properties of gyre flows	4
Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force	4
New insights into pharmacologic inhibition of pyroptotic cell death by necrosulfonamide: A PDE model	4
Competitive exclusion in a nonlocal reaction–diffusion–advection model of phytoplankton populations	4
Zero-viscosity-capillarity limit to the planar rarefaction wave for the 2D compressible Navier–Stokes–Korteweg equations	4
Modeling and analysis of recurrent autoimmune disease	4
Propagation fronts in a simplified model of tumor growth with degenerate cross-dependent self-diffusivity	4
Leray–Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress–strain relation	4
Coexistence and bistability of a competition model with mixed dispersal strategy	4
Decay estimates for Timoshenko systems with complementary frictional damping and memory effect	4
Global existence of classical solutions for a class of diffusive ecological models with two free boundaries and cross-diffusion	4
Singular properties of solutions for a parabolic equation with variable exponents and logarithmic source	4
Nonhomogeneous degenerate quasilinear problems with convection	4
Bifurcation analysis in a diffusive Logistic population model with two delayed density-dependent feedback terms	4
Evolution dynamics of a time-delayed reaction–diffusion HIV latent infection model with two strains and periodic therapies	4
Multiplicity of clines for systems of indefinite differential equations arising from a multilocus population genetics model	4
Global existence of bounded solutions to the relativistic BGK model	4
Robin double-phase problems with singular and superlinear terms	4