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

Well-posedness of constrained evolutionary differential variational–hemivariational inequalities with applications	15
A class of history-dependent systems of evolution inclusions 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
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
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
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
Entropy and renormalized solutions to the general nonlinear elliptic equations in Musielak–Orlicz spaces	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
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
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
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
Monotone iterative method of upper and lower solutions applied to a multilayer combustion model in porous media	7
Well-posedness and simulation results of a coupled denoising PDE	7
On the stability of the improved Aw–Rascle–Zhang model with Chaplygin pressure	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
Dynamics of an HIV infection model with virus diffusion and latently infected cell activation	7
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 nonlinear viscoelastic plate equation with	7
A differential variational inequality in the study of contact problems with wear	7
Multi-component Gerdjikov–Ivanov system and its Riemann–Hilbert problem under zero boundary conditions	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
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
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
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
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
Strong solutions of impulsive pseudoparabolic equations	4
Boundedness and large time behavior for a chemotaxis system with signal-dependent motility and indirect signal consumption	4
Zero-viscosity-capillarity limit to the planar rarefaction wave for the 2D compressible Navier–Stokes–Korteweg equations	4
Uniform in time solutions for a chemotaxis with potential consumption model	4
On a singular parabolic p-biharmonic equation with logarithmic nonlinearity	4
On viscous incompressible flows of nonsymmetric fluids with mixed boundary conditions	4
Large time behavior in a fractional chemotaxis–Navier–Stokes system with logistic source	4
Finite time blow-up in a parabolic–elliptic Keller–Segel system with flux dependent chemotactic coefficient	4
Analysis of Maxwell–Stefan systems for heat conducting fluid mixtures	4
Forced waves for diffusive competition systems in shifting environments	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
Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity	4
Analysis of a class of Kolmogorov systems	4
Gradient estimates via Riesz potentials and fractional maximal operators for quasilinear elliptic equations with applications	4
Global existence of bounded solutions to the relativistic BGK model	4
New insights into pharmacologic inhibition of pyroptotic cell death by necrosulfonamide: A PDE model	4
A multiscale quasilinear system for colloids deposition in porous media: Weak solvability and numerical simulation of a near-clogging scenario	4
The effect of protection zone on asymptotic dynamics of a reaction–diffusion model with a free boundary or unbounded boundary	4
Global dynamics of a reaction–diffusion malaria model	4
Global existence and blow-up of solutions of nonlocal diffusion problems with free boundaries	4
Leray–Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress–strain relation	4
Dynamical analysis of a multi-group SIR epidemic model with nonlocal diffusion and nonlinear incidence rate	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
Chemotaxis systems with singular sensitivity and logistic source: Boundedness, persistence, absorbing set, and entire solutions	4
Semilinear wave equations of derivative type with spatial weights in one space dimension	4
Rigorous derivation and well-posedness of a quasi-homogeneous ideal MHD system	4
Robin double-phase problems with singular and superlinear terms	4
Existence of ground state solutions for a Choquard double phase problem	4
A regularity criterion for 3D shear thinning fluids in terms of the direction of vorticity	4
On the role of pressure in the theory of MHD equations	4
Coexistence and bistability of a competition model with mixed dispersal strategy	4
Global solutions for the generalized Camassa–Holm equation	4
Dynamics and patterns of species abundance in ocean: A mathematical modeling study	4