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
A geometric analysis of the SIR, SIRS and SIRWS epidemiological models	30
Finite-time blow-up in a two-dimensional Keller–Segel system with an environmental dependent logistic source	29
Coexistence of the solitary and periodic waves in convecting shallow water fluid	26
Global stability of SAIRS epidemic models	24
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	21
Eco-epidemiological model with fatal disease in the prey	21
On a phase field model of Cahn–Hilliard type for tumour growth with mechanical effects	21
Concentration of mass in the pressureless limit of the Euler equations of one-dimensional compressible fluid flow	21
A mathematical model for Lassa fever transmission dynamics in a seasonal environment with a view to the 2017–20 epidemic in Nigeria	20
Persistence and extinction of nonlocal dispersal evolution equations in moving habitats	20
Qualitative analysis on a diffusive SIS epidemic system with logistic source and spontaneous infection in a heterogeneous environment	19
Existence and multiplicity of solutions to concave–convex-type double-phase problems with variable exponent	18
On the solutions for an Ostrovsky type equation	18
Bifurcation and stability of a two-species reaction–diffusion–advection competition model	18
Mathematical analysis of an age-structured HIV/AIDS epidemic model with HAART and spatial diffusion	18
Minimization principles for elliptic hemivariational inequalities	17
Dynamics of a waterborne pathogen model with spatial heterogeneity and general incidence rate	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
Potential well method forp(x	16
Dynamics of an intraguild predation food web model with strong Allee effect in the basal prey	16
Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with gradient-dependent flux limitation	16
Global existence for a class of chemotaxis-consumption systems with signal-dependent motility and generalized logistic source	16
Human-vector malaria transmission model structured by age, time since infection and waning immunity	15
Global bifurcation in a toxin producing phytoplankton–zooplankton system with prey-taxis	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
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
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
Boundedness and stabilization enforced by mild saturation of taxis in a producer–scrounger model	15
On the inhomogeneous biharmonic nonlinear Schrödinger equation: Local, global and stability results	14
A class of history-dependent systems of evolution inclusions with applications	14
Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network	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
Qualitative analysis on an SIRS reaction–diffusion epidemic model with saturation infection mechanism	13
Dynamic behaviors of a predator–prey model with weak additive Allee effect on prey	13
Weak–strong uniqueness for the Landau–Lifshitz–Gilbert equation in micromagnetics	12
Bifurcation of limit cycles by perturbing piecewise non-Hamiltonian systems with nonlinear switching manifold	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
Synchronization of boundary coupled Hindmarsh–Rose neuron network	11
Global bifurcation and pattern formation for a reaction–diffusion predator–prey model with prey-taxis and double Beddington–DeAngelis functional responses	11
Global boundedness and stability of solutions for prey-taxis model with handling and searching predators	11
Existence ofω-periodic solutions for a delayed chemostat with periodi	11
Singular quasilinear elliptic systems involving gradient terms	11
Time periodic reaction–diffusion equations for modeling 2-LTR dynamics in HIV-infected patients	10
Positive periodic solutions for Lotka–Volterra systems with a general attack rate	10
Existence and non-existence of solutions for Timoshenko-type equations with variable exponents	10
Stability and bifurcation in a two-species reaction–diffusion–advection competition model with time delay	10
Iso-bispectral potentials for Sturm–Liouville-type operators with small delay	10
Complicated oscillations and non-resonant double Hopf bifurcation of multiple feedback delayed control system of the gut microbiota	9
The time periodic problem of the Navier–Stokes equations in a bounded domain with moving boundary	9
On the Cauchy problem for semilinear regularity-loss-type σ-evolution	9
The end-point regularity criterion for the Navier–Stokes equations in terms of	9
Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer–van der Pol oscillator	9
Limit cycle bifurcations of planar piecewise differential systems with three zones	9
Entropy and renormalized solutions to the general nonlinear elliptic equations in Musielak–Orlicz spaces	9
Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity	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
Turing patterns and spatiotemporal patterns in a tritrophic food chain model with diffusion	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
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
Stationary solutions of advective Lotka–Volterra models with a weak Allee effect and large diffusion	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
Traveling waves for a discrete diffusive SIR epidemic model with treatment	8
Bifurcation diagrams in a class of Kolmogorov systems	8
Global existence and asymptotic stability in a predator–prey chemotaxis model	8
Dynamics of adaptation in an anisotropic phenotype-fitness landscape	8
Existence of weak solutions to the Keller–Segel chemotaxis system with additional cross-diffusion	8
Periodic traveling wave of a time periodic and diffusive epidemic model with nonlocal delayed transmission	8
Global dynamics of a diffusive viral infection model with spatial heterogeneity	8
Dynamics of a delayed Lotka–Volterra competition model with directed dispersal	8
Stabilization in a two dimensional two-species aerotaxis-Navier–Stokes system	8
Periodic solutions for the Lorentz force equation with singular potentials	8
Limit cycles and global dynamics of planar piecewise linear refracting systems of focus–focus type	8
Regularity criterion for weak solutions to the 3D Navier–Stokes equations via two vorticity components in8
Traveling waves of a diffusive SIR epidemic model with general nonlinear incidence and infinitely distributed latency but without demography	8
Local cyclicity in low degree planar piecewise polynomial vector fields	8
Ambrosetti–Prodi problems for the Robin (p,	8
Existence and uniqueness of solution of free boundary problem with partially degenerate diffusion	7
On a class of nonlocal evolution equations with the p	7
Propagation dynamics of a three-species nonlocal competitive–cooperative system	7
Weak solutions in nonlinear poroelasticity with incompressible constituents	7
Solitary wave solutions of a Whitham–Boussinesq system	7
Stationary solutions to outflow problem for 1-D compressible fluid models of Korteweg type: Existence, stability and convergence rate	7
A nonlinear viscoelastic plate equation with	7
On the stability of the improved Aw–Rascle–Zhang model with Chaplygin pressure	7
Global existence of weak solutions to a signal-dependent Keller–Segel model for local sensing chemotaxis	7
Boundedness and finite-time blow-up in a chemotaxis system with nonlinear signal production	7
Some remarks on the inhomogeneous biharmonic NLS equation	7
Blow-up for Strauss type wave equation with damping and potential	7
Oscillatory and transient dynamics of a slow–fast predator–prey system with fear and its carry-over effect	7
Qualitative analysis of a curvature equation modelling MEMS with vertical loads	7
Zero-Hopf bifurcation in a 3D jerk system	7
Predator invasion in predator–prey model with prey-taxis in spatially heterogeneous environment	7
Global dynamics of a two-species chemotaxis-consumption system with signal-dependent motilities	7
Existence and uniqueness of forced waves in a delayed reaction–diffusion equation in a shifting environment	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
Minimax principles for elliptic mixed hemivariational–variational inequalities	6
Combined effects of nonlinear proliferation and logistic damping in a three-component chemotaxis system for alopecia areata	6
A unified approach to periodic solutions for a class of non-autonomous second order Hamiltonian systems	6
Blow-up result and energy decay rates for binary mixtures of solids with nonlinear damping and source terms	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
A generalized infectious model induced by the contacting distance (CTD)	6
Global phase portraits of planar piecewise linear refracting systems of saddle–saddle type	6
Existence and multiplicity results for double phase problem with nonlinear boundary condition	6
Blow-up and lifespan estimates of solutions to semilinear Moore–Gibson–Thompson equations	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
Existence of a fundamental solution of partial differential equations associated to Asian options	6
Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks	6
Radial stability of periodic orbits of damped Keplerian-like systems	6
Feedback control for nonlinear evolutionary equations with applications	6
The anisotropic regularity criteria for 3D Navier–Stokes equations involving one velocity component	6
A new non-divergence diffusion equation with variable exponent for multiplicative noise removal	6
Singular properties of solutions for a parabolic equation with variable exponents and logarithmic source	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
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
Global nonexistence for logarithmic wave equations with nonlinear damping and distributed delay terms	5
Stability analysis of an age-structured epidemic model with vaccination and standard incidence rate	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
Asymptotic behavior of non-autonomous Lamé systems with subcritical and critical mixed nonlinearities	5
A regularity criterion for 3D shear thinning fluids in terms of the direction of vorticity	5
Decay mild solutions of Hilfer fractional differential variational–hemivariational inequalities	5
Global weak solutions to an oncolytic viral therapy model with doubly haptotactic terms	5
Longtime dynamics for a nonlinear viscoelastic equation with time-dependent memory kernel	5
A dynamical model of echinococcosis with optimal control and cost-effectiveness	5
Nonlinear nonhomogeneous Robin problems with gradient dependent reaction	5
Regularity results for solutions to a class of obstacle problems	5
Miridae control using sex-pheromone traps. Modeling, analysis and simulations	5
A differential variational inequality in the study of contact problems with wear	5

Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force	5
Stability of Hartmann shear flows in an open inclined channel	5
Scattering below the ground state for the intercritical non-radial inhomogeneous NLS	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
Generalized penalty method for history-dependent variational–hemivariational inequalities	5
Global well-posedness of the 2D incompressible Navier–Stokes equations with density-dependent viscosity coefficient	5
Analysis and control of stationary inclusions in contact mechanics	5
Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole	5
Local well-posedness for the inhomogeneous nonlinear Schrödinger equation in	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
Stability of the viscoelastic Rayleigh–Taylor problem with internal surface tension	5
Global dynamics of two-strain epidemic model with single-strain vaccination in complex networks	5
Boundedness and large time behavior of solutions to a prey-taxis system accounting in liquid surrounding	5
Energy conservation for the weak solutions to the 3D compressible magnetohydrodynamic equations of viscous non-resistive fluids in a bounded domain	5
The impact of Wolbachia on dengue transmission dynamics in an SEI–SIS model	5
Continuous data assimilation for the 3D Ladyzhenskaya model: analysis and computations	4
Analysis of a chemotaxis-SIS epidemic model with unbounded infection force	4
Spatial diffusion and periodic evolving of domain in an SIS epidemic model	4
A multiscale quasilinear system for colloids deposition in porous media: Weak solvability and numerical simulation of a near-clogging scenario	4
On the role of pressure in the theory of MHD equations	4
Nonexistence of the periodic peaked traveling wave solutions for rotation-Camassa–Holm equation	4
Wolbachia spreading dynamics in Nilaparvata lugens with two strains	4
Well-posedness of a general class of elliptic mixed hemivariational–variational inequalities	4
Large time behavior in a fractional chemotaxis–Navier–Stokes system with logistic source	4
Longtime dynamics for a novel piezoelectric beam model with creep and thermo-viscoelastic effects	4
Spreading speeds and traveling waves for a time periodic DS-I-A epidemic model	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
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
Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments	4
Stabilization to a positive equilibrium for some reaction–diffusion systems	4
Coexistence and bistability of a competition model with mixed dispersal strategy	4
Dynamics and patterns of species abundance in ocean: A mathematical modeling study	4
The effect of protection zone on asymptotic dynamics of a reaction–diffusion model with a free boundary or unbounded boundary	4
A threshold policy to curb WNV transmission to birds with seasonality	4
Bifurcation analysis in a diffusive Logistic population model with two delayed density-dependent feedback terms	4
Nonhomogeneous degenerate quasilinear problems with convection	4
Dynamics of an HIV infection model with virus diffusion and latently infected cell activation	4
Analysis of a class of Kolmogorov systems	4
Multiplicity of clines for systems of indefinite differential equations arising from a multilocus population genetics model	4
Role of seasonality and spatial heterogeneous in the transmission dynamics of avian influenza	4
Limit cycles of discontinuous piecewise differential systems formed by linear centers in	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
Asymptotic stability of solutions for some classes of impulsive differential equations with distributed delay	4
Decay estimates for Timoshenko systems with complementary frictional damping and memory effect	4
Robin double-phase problems with singular and superlinear terms	4
Global existence of classical solutions for a class of diffusive ecological models with two free boundaries and cross-diffusion	4
Some symmetry properties of gyre flows	4
On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s	4
Evolution dynamics of a time-delayed reaction–diffusion HIV latent infection model with two strains and periodic therapies	4
Competitive exclusion in a nonlocal reaction–diffusion–advection model of phytoplankton populations	4
Quasi-variational problems with non-self map on Banach spaces: Existence and applications	3
Regularization for a class of quasi-variational-hemivariational inequalities	3
Decay estimates for three-dimensional Navier–Stokes equations with damping	3
Asymptotic stability of the stationary wave for the quantum Navier–Stokes–Poisson system	3
Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method	3
Uniform in time solutions for a chemotaxis with potential consumption model	3
Existence of solution for a singular elliptic system with convection terms	3
Existence and uniqueness of maximal strong solution of a 1D blood flow in a network of vessels	3
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	3
On viscous incompressible flows of nonsymmetric fluids with mixed boundary conditions	3
Global existence of weak solutions to a diffuse interface model for magnetic fluids	3
Smoothness effects of a quadratic damping term of mixed type on a chemotaxis-type system modeling propagation of urban crime	3
Linear stability for a periodic tumor angiogenesis model with free boundary	3
On a bi-stability regime and the existence of odd subharmonics in a Comb-drive MEMS model with cubic stiffness	3
Penalty method for solving a class of stochastic differential variational inequalities with an application	3
Dynamical analysis of a multi-group SIR epidemic model with nonlocal diffusion and nonlinear incidence rate	3
Global dynamics of diffusive Hindmarsh–Rose equations with memristors	3
The cavitation and concentration of Riemann solutions for the isentropic Euler equations with isothermal dusty gas	3
On the global dynamics and integrability of the Chemostat system	3
Global and exponential attractors for mixtures of solids with Fourier’s law	3
SIS reaction–diffusion model with risk-induced dispersal under free boundary	3
Rigorous derivation and well-posedness of a quasi-homogeneous ideal MHD system	3
A free boundary tumor model with time dependent nutritional supply	3
Analysis on a diffusive two-stage epidemic model with logistic growth and saturated incidence rates	3
Some new regularity criteria for the Navier–Stokes equations in terms of one directional derivative of the velocity field	3
Global well-posedness to the 3D Cauchy problem of compressible non-isothermal nematic liquid crystal flows with vacuum	3
Dynamics of a predator–prey model with nonlinear growth rate and B–D functional response	3
Asymptotic convergence of solutions to the forest kinematic model	3
A dynamic Euler–Bernoulli beam equation frictionally damped on an elastic foundation	3
Solitary waves of a generalized Ostrovsky equation	3
Global existence and finite time blowup for a mixed pseudo-parabolic p	3
Traveling waves for a Belousov–Zhabotinsky reaction–diffusion system with nonlocal effect	3
A topological approach to the problem of chaotic tides	3
Strong solutions of impulsive pseudoparabolic equations	3
Global existence and analyticity of mild solutions for the stochastic Navier–Stokes–Coriolis equations in Besov spaces	3
On mathematical analysis of synchronization to bidirectionally coupled Kuramoto oscillators	3
Non-uniform dependence for higher dimensional Camassa–Holm equations in Besov spaces	3
Boundedness in a fully parabolic attraction–repulsion chemotaxis system with nonlinear diffusion and signal-dependent sensitivity	3
Dynamics of a predator–prey system with inducible defense and disease in the prey	3
Avian–human influenza epidemic model with diffusion, nonlocal delay and spatial homogeneous environment	3
Exponential synchronization of memristive Hindmarsh–Rose neural networks	3