Applied Mathematics Letters

Article	Citations
A shape-parameterized RBF-partition of unity technique for PDEs	157
Limit solutions of loop solitons for a compound WKI-SP equation	139
Novel Razumikhin-type finite-time stability criteria of fractional nonlinear systems with time-varying delay	129
Real solutions to an asymptotically linear Helmholtz equation	93
A class of higher-order time-splitting Monte Carlo method for fractional Allen–Cahn equation	91
Leighton–Wintner-type oscillation theorem for the discrete p	90
A new B-spline type approximation method for non-smooth functions	89
Normalized solutions to HLS lower critical Choquard equation with inverse-power potential and square-root-type nonlinearity	83
Lattice Boltzmann method for surface quasi-geostrophic equations with fractional Laplacian	79
Editorial Board	73
Second-order nonuniform time-stepping schemes for time-fractional evolution equations with general elliptic operator	65
An effective numerical method for the vector-valued nonlocal Allen–Cahn equation	63
On the chemotactic limit of the incompressible chemotaxis-Navier–Stokes equations in	61
A stochastic predator–prey eco-epidemiological model with hunting cooperation	57
A general stability result for a von Karman system with memory and nonlinear boundary delay term	53
Effective interface conditions for continuum mechanical models describing the invasion of multiple cell populations through thin membranes	50
Editorial Board	50
Maximum entropy principle approach to a non-isothermal Maxwell–Stefan diffusion model	50
Exponential stability of integro-differential equations and applications	50
Multiple sign-changing solutions for fractional Schrödinger equations involving critical or supercritical exponent	49
Thermoelastic Timoshenko system free of second spectrum	48
Global classical large solutions to the 2D liquid crystal flows with partial viscosity	48
Editorial Board	47
Anisotropic Hdiv	47
Nonexistence of positive solutions to a class of generalized quasilinear Schrödinger equations	46

Editorial Board	45
Positive solutions for nonlocal dispersal equation	44
Recovery based finite difference scheme on unstructured mesh	44
Global existence for the defocusing Sobolev critical Schrödinger equation under the finite variance condition of initial data	40
Efficient approach to solve time fractional Kardar–Parisi–Zhang equation on unbounded domains	40
Time-decay rate of global solutions to the generalized incompressible Oldroyd-B model with fractional dissipation	39
The semi-classical limit of Davey–Stewartson hierarchy	39
Smoothness and Liouville type theorem for a system with cubic nonlinearities from biaxial nematic liquid crystals in two dimensions	39
Editorial Board	39
Stability of amplitude death in conjugate-coupled nonlinear oscillator networks	38
Optimal convergence rate of the explicit Euler method for convection–diffusion equations	38
Exact smooth and sharp-fronted travelling waves of reaction–diffusion equations with Weak Allee effects	37
Strong comparison principle for a p-Laplace equation involving singularity and its applications	37
Equally spaced points are optimal for Brownian Bridge kernel interpolation	36
Existence of periodic orbits for planar differential systems with delay angle	35
Stability of entire solutions emanating from bistable planar traveling waves in exterior domains	35
Quasi-periodic wave solutions of the nonlocal coupled nonlinear Schrödinger equation	35
Editorial Board	34
Existence and nonexistence of entire large solutions to a class of generalized quasilinear Schrödinger equations	34
Numerical analysis of growth-mediated autochemotactic pattern formation in self-propelling bacteria	33
Editorial Board	32
Extending matrix–vector framework on multiple relaxation time lattice Boltzmann method	32
Planetary waves in polar basins: Some exact solutions	30
Inverse problem for the nonlinear long wave runup on a plane sloping beach	30
Unbounded spectrum for a nonlinear eigenvalue problem with a variable exponent	30
Melnikov analysis in a cubic system with a multiple line of critical points	29
Gradient recovery based finite element methods for the two-dimensional quad-curl problem	28
An alternating shifted inverse power method for the extremal eigenvalues of fourth-order partially symmetric tensors	28
Numerical analysis of the optimal 9-point finite difference scheme for the Helmholtz equation	28
Stability of traveling wavefronts for advection–reaction–diffusion equation	28
Modified least squares estimators for Ornstein–Uhlenbeck processes from low-frequency observations	27
Unique continuation for a mean field game system	27
Turing–Hopf bifurcation in a diffusive predator–prey model with schooling behavior and Smith growth	27
The extension of Rippa’s algorithm beyond LOOCV	27
A hybrid numerical method for non-linear transient heat conduction problems with temperature-dependent thermal conductivity	27
T-product based ℓ1	26
Lyapunov-based stability of delayed linear differential algebraic systems	26
Uniqueness of weak solutions to a Keller–Segel–Navier–Stokes system	26
The multiple double-pole solitons and multiple negaton-type solitons in the space-shifted nonlocal nonlinear Schrödinger equation	26
A fast element-free Galerkin method for the fractional diffusion-wave equation	25
Global attractivity of the equilibria of the diffusive SIR and SEIR epidemic models with multiple parallel infectious stages and nonlinear incidence mechanism	25
Leighton and Wong type oscillation theorems for impulsive differential equations	25
Subdivision scheme for discrete probability measure-valued data	24
The zero-phase solution and rarefaction wave structures for the higher-order Chen–Lee–Liu equation	24
Robustness and bistability in a cytokine-enhanced viral infection model	24
Coexistence in a multi-species chemostat model with Markov switchings	24
Dynamical analysis of higher-order rogue waves on the various backgrounds for the reverse space–time Fokas–Lenells equation	22
A note on stability of fractional logistic maps	22
The Liouville theorems for 3D stationary tropical climate model in local Morrey spaces	22
A hybrid fractional order LMS algorithm for power system harmonic estimation	21

Foraging dynamics of social insect colonies with resource constraints in random environments	21
Propagation dynamics of a free boundary problem in advective environments	21
The stationary distribution of a stochastic SIQS epidemic model with varying total population size	21
Global existence of large solutions for the parabolic–elliptic Keller–Segel system in Besov type spaces	21
Double-pole dark-bright mixed solitons for a three-wave-resonant-interaction system	21
Asymptotically linear magnetic fractional problems	21
Positive solutions of parameter-dependent nonlocal differential equations with convolution coefficients	21
Infinitely many sign-changing normalized solutions for nonlinear scalar field equations	20
Well-posedness of the generalized Navier–Stokes equations with damping	20
Periodic solutions with prescribed minimal period for second-order Hamiltonian systems with non-symmetric potentials	20
Orbital stability of pseudo-peakons for the fifth-order Camassa–Holm type equation	20
Characteristic decompositions of the 3 × 3 reducible quasilinear strictly hyperbolic system	20
An S-type inclusion set for C-eigenvalues of a piezoelectric-type tensor	20
Unique inversion of orders and potential for multi-term time fractional wave equations	20
A kernel regression approach for identification of first order differential equations based on functional data	19
Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions	19
Global stability of a delayed diffusive predator–prey model with prey harvesting of Michaelis–Menten type	19
Global stability for a delayed HIV reactivation model with latent infection and Beddington–DeAngelis incidence	19
Backward bifurcation arising from decline of immunity against emerging infectious diseases	19
The ∂	19
Local existence and uniqueness of weak solutions to fractional pseudo-parabolic equation with singular potential	19
The peakon solutions of a new integrable Camassa–Holm equation	19
Energy equality of the two-fluid incompressible Navier–Stokes–Maxwell equations	19
A meshless method in reproducing kernel space for solving variable-order time fractional advection–diffusion equations on arbitrary domain	19
Global attractor for a class of inhomogeneous reaction–diffusion equation in unbounded domain	18
On the improvement of four-node plane stress element	18
The existence and numerical method for a free boundary problem modeling the ductal carcinoma in situ	18
Multiplicity of solutions for asymptotically quadratic Dirac–Poisson system with non-periodic potential	18
Asymptotic behaviors of forced waves for the lattice Lotka–Volterra competition system with shifting habitats	18
Two trigonometric function solutions of the mKdV equations	18
Global attractors in Orlicz spaces for reaction–diffusion equations	18
The sharp time decay rates for the incompressible Phan-Thien–Tanner system with magnetic field in	18
Extended KdV equations generated by squared eigenfunction symmetry	18
Regularity and energy transfer for a nonlinear beam equation	17
Energy quadratization Runge–Kutta scheme for the conservative Allen–Cahn equation with a nonlocal Lagrange multiplier	17
Group analysis and invariant solutions of the (3+1)-dimensional defocusing Gardner-KP equation	17
Stability of implicit deferred correction methods based on BDF methods	17
On smoothness of 3D generalized MHD equations	17
Boundary blow-up solutions to the k-Hessian equation with singular we	17
Efficient implementation of mixed finite element methods for parabolic problems	17
Generalized finite difference method for electroelastic analysis of three-dimensional piezoelectric structures	16
Wronskian solutions and N–soliton solutions for the Hirota–Satsuma eq	16
Local-in-space blow-up of a weakly dissipative generalized Dullin–Gottwald–Holm equation	16
The unique solution of a class of the new generalized absolute value equation	16
Analysis of degenerate p-Laplacian elliptic equations involving Hardy	16
Analysis of solution to an elliptic free boundary value problem equipped with a ‘bad’ data	16
Study of a homoclinic canard explosion from a degenerate center	16
A product integration rule on equispaced nodes for highly oscillating integrals	16
A remark on quasilinear Schrödinger equations with Berestycki–Lions conditions	16
Torsional creep problems involving Grushin-type operators	16
A diffuse interface box method for elliptic problems	15
Optical soliton noninteraction transmission in optical communication systems	15
A peridynamics approach modeling gas flow in porous media with damaged regions	15
Global dynamics of a controlled discontinuous diffusive SIR epidemic system	15
Dbar-dressing method for a new (215
Uniqueness of single-peaked solutions to singularity perturbed semilinear Dirichlet problems	15
The ∂̄	15
A new error analysis of a linearized Euler Galerkin scheme for Schrödinger equation with cubic nonlinearity	15
Conditional Ulam stability and its application to the logistic model	15
Global asymptotic stability of a delay differential equation model for SARS-CoV-2 virus infection mediated by ACE2 receptor protein	14
Zero-filter limit for the Camassa–Holm equation in Sobolev spaces	14
Stability analysis of a single-species logistic model with time delay and constant inflow	14
Single-spike solutions to the 1D shadow Gierer–Meinhardt problem	14
On coupled flows of micropolar heat conducting fluids with mixed boundary conditions	14
A nonlinear anisotropic diffusion model with non-standard growth for image segmentation	14
Global suppression and periodic change of the mosquito population in a sterile release model with delay	14
Stability estimate for a nonlinear coupled heat transfer model	14
Nonexistence result for Chern–Simons–Schrödinger–Higgs system	14
Manifold expressions of all solutions of the Yang–Baxter-like matrix equation for rank-one matrices	14
On the global well-posedness for a multi-dimensional compressible Navier–Stokes–Poisson system	14
Stability of periodic traveling fronts for a time–space periodic dengue transmission model	14
A surrogate hyperplane Kaczmarz method for solving consistent linear equations	14
Analysis of multiscale methods for stochastic dynamical systems driven by α	14
Low rank matrix recovery with impulsive noise	14
The space–time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation	14
The existence and nonlinear stability of stationary solutions to inflow problem for a reduced gravity two and a half layer model	13
On the existence of locally-defined projective interpolations	13
New S-type localization sets for 13
Numerical integration rules based on B-spline bases	13
Analysis of a higher order problem within the second gradient theory	13

Calculations for D-eigenvalues of a diffusion kurtosis tensor	13
Support set and unique ergodicity of stochastic KdV equation	13
Solution space characterisation of perturbed linear Volterra integrodifferential convolution equations: The	13
Dynamic analysis of HIV infection model with CTL immune response and cell-to-cell transmission	13
A note on a critical bi-harmonic equation with logarithmic perturbation	13
Persistence of kink and anti-kink wave solutions for the perturbed double sine-Gordon equation	13
Rotating, sliding or both?	13
The special solutions of 2-D steady isentropic irrotational relativistic Euler system	13
Mass and energy conservative high-order diagonally implicit Runge–Kutta schemes for nonlinear Schrödinger equation	13
Iterative optimization method for determining optimal shape parameter in RBF-FD method	13
Sonic–supersonic–shock–subsonic–sonic solution to Euler–Poisson system with varying background charges	13
On saturation of the discrepancy principle for nonlinear Tikhonov regularization in Hilbert spaces	13
Asymptotic behavior of a stochastic microorganism flocculation model with time delay	13
Further study on the crossing curves in two-delay differential equations with delay-dependent coefficients	13
Boundedness in a chemotaxis-May–Nowak model with exposed state	12
Stationary distribution of a chemostat model with distributed delay and stochastic perturbations	12
Singularity formation of hydromagnetic waves in cold plasma	12
Exponential stability for systems of delay differential equations with block matrices	12
Fundamental results to the weighted Caputo-type differential operator	12
Nontrivial solutions for indefinite Schrödinger–Poisson systems and Kirchhoff equations	12
Confluent Vandermonde with Arnoldi	12
Radial solutions for Neumann problems involving prescribed mean curvature operator in a ball and in an annular domain	12
An efficient augmented approach algorithm for incompressible Stokes problems on staggered Cartesian grids	12
Remarks on the model of quasi-homogeneous binary mixtures with the NASG equations of state	12
An inverse eigenvalue problem for Jacobi matrices with a missing eigenvalue	12
A reproducing kernel method for nonlinear C-q-fractional IVPs	12
Sharp analysis of L1	12
On the global stability of smooth solutions of the Navier–Stokes equations	12
Stability and bifurcation in a reaction–diffusion model with nonlinear boundary conditions	12
Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator	12
Controllable rogue wave and mixed interaction solutions for the coupled Ablowitz–Ladik equations with branched dispersion	12
Solutions for discrete Schrödinger equations with a nonlocal term	12
An energy estimate and a stabilized Lagrange–Galerkin scheme for a multiphase flow model	11
On an adaptive FEM-BEM for nonlinear transmission problem	11
Analytical solution for potential flow across two circular cylinders using the BIE in conjunction with degenerate kernels of bipolar coordinates	11
Highly efficient difference methods for stochastic space fractional wave equation driven by additive and multiplicative noise	11
A conservative Allen–Cahn equation with a curvature-dependent Lagrange multiplier	11
Operator splitting for coupled linear port-Hamiltonian systems	11
Restarted randomized surrounding methods for solving large linear equations	11
Uniqueness of identifying multiple parameters in a time-fractional Cattaneo equation	11
Existence of a fully implicit solution with second-order time evolution for strong nonlinear diffusion equation	11
A new hybrid trigonometric WENO scheme for hyperbolic conservation laws and highly oscillatory problems	11
Note on the diffusive prey-predator model with variable coefficients and degenerate diffusion	11
Sensitivity analysis and stationary probability distributions of a stochastic two-prey one-predator model	11
A stochastic predator–prey eco-epidemiological model with the fear effect	10
An adaptive homotopy tracking algorithm for solving nonlinear parametric systems with applications in nonlinear ODEs	10
A linear second-order maximum bound principle preserving finite difference scheme for the generalized Allen–Cahn equation	10
Existence of a generalized polynomial attractor for the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity	10
State transitions for the rational solutions of Kundu equation with non-zero boundary conditions	10
Propagation properties of bright solitons generated by the complex Ginzburg–Landau equation with high-order dispersion and nonlinear gradient terms	10
Stability and asymptotic properties of the SEQIR epidemic model	10
Harnack type inequality and Liouville theorem for subcritical fully nonlinear equations	10
Geometric ergodicity and ultimate boundedness of a stochastic chemostat model with general nutrient uptake function	10
Multiple-relaxation-time lattice Boltzmann model for anisotropic liquid–solid phase change	10
Density function and stationary distribution of a stochastic SIR model with distributed delay	10
Bi-Hamiltonian structure of a super KdV equation of Kupershmidt	10
Corners and collapse: Some simple observations concerning critical masses and boundary blow-up in the fully parabolic Keller–Segel system	10
Mixed localized wave solutions of the Hirota equation	10
A Cahn–Hilliard–Biot system and its generalized gradient flow structure	10
Painlevé analysis, integrability property and multiwave interaction solutions for a new (4+1)-dimensional KdV–Calogero–Bogoyavlenkskii–Schiff equation	10
Structure-preserving exponential time differencing methods for modeling Josephson Junctions	10
Existence of axially symmetric solutions for the planar Schrödinger–Newton equations with critical exponential growth	10
Global stability of a cytokine-enhanced viral infection model with nonlinear incidence rate and time delays	10
A Pk+	10
Extensive generalized shift-splitting preconditioner for 3 × 3 block saddle point problems	10
Modulational instability and rogue wave solutions for the mixed focusing–defocusing semi-discrete coherently coupled nonlinear Schrödinger system with 4 × 4 Lax pair	10
Variational multiscale virtual element method for the convection-dominated diffusion problem	10
Caputo–Hadamard fractional Halanay inequality	10
Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system	10
Travelling waves in a minimal go-or-grow model of cell invasion	10
On the proof of Taylor’s conjecture in multiply connected domains	9
Bäcklund transformations, symmetry reductions and exact solutions of (2+1)-dimensional nonlocal DS equations	9
Second-order Emden–Fowler neutral differential equations: A new precise criterion for oscillation	9
A novel semi-analytical meshless method for the thickness optimization of porous material distributed on sound barriers	9
Study on a stochastic pest management system with insecticide residue effects and group defense behavior	9
Boundedness in the higher-dimensional chemotaxis system for Alopecia Areata with singular sensitivity	9
Necessary condition in a Brezis–Oswald-type problem for mixed local and nonlocal operators	9
W2,	9
Limit behavior of the solution of Caputo-Hadamard fractional stochastic differential equations	9
A new Allen–Cahn type two-model phase-field crystal model for fcc ordering and its numerical approximation	9
Legendre spectral volume methods for Allen–Cahn equations by the direct discontinuous Galerkin formula	9
Efficient low-rank quaternion matrix completion under the learnable transforms for color image recovery	9
In a river or an ocean: Similarity-reduction work on a (3+1)-dimensional extended shallow water wave equation	9
Advanced stability analysis for linear systems with time-varying delays via a generalized integral inequality	9
Improvement of conditions for global solvability in a chemotaxis system with signal-dependent motility and generalized logistic source	9
Vaccination in a two-group epidemic model	9
On a Camassa–Holm type equation describing the dynamics of viscous fluid conduits	9
Global existence and uniqueness of a periodic wave solution of the generalized Burgers–Fisher equation	9
Least energy sign-changing solutions for discrete Kirchhoff-type problems	9
G2	9
Bifurcation structures of a Leslie–Gower model with diffusion and advection	9
On conservative, positivity preserving, nonlinear FV scheme on distorted meshes for the multi-term nonlocal Nagumo-type equations	9
N-soliton solutions and dynamic property analysis of a generalized th	9
Propagation direction of traveling waves for a class of nonlocal dispersal bistable epidemic models	9
Error analysis of the Crank–Nicolson SAV method for the Allen–Cahn equation on variable grids	9