Applied Mathematics Letters

Article	Citations
Second-order nonuniform time-stepping schemes for time-fractional evolution equations with general elliptic operator	156
An effective numerical method for the vector-valued nonlocal Allen–Cahn equation	139
On the chemotactic limit of the incompressible chemotaxis-Navier–Stokes equations in	127
A stochastic predator–prey eco-epidemiological model with hunting cooperation	89
Editorial Board	88
A general stability result for a von Karman system with memory and nonlinear boundary delay term	88
Exponential stability of integro-differential equations and applications	83
Maximum entropy principle approach to a non-isothermal Maxwell–Stefan diffusion model	79
Effective interface conditions for continuum mechanical models describing the invasion of multiple cell populations through thin membranes	75
Multiple sign-changing solutions for fractional Schrödinger equations involving critical or supercritical exponent	73
Global classical large solutions to the 2D liquid crystal flows with partial viscosity	68
Thermoelastic Timoshenko system free of second spectrum	65
Anisotropic Hdiv	65
Editorial Board	63
Nonexistence of positive solutions to a class of generalized quasilinear Schrödinger equations	56
Editorial Board	55
Positive solutions for nonlocal dispersal equation	53
Recovery based finite difference scheme on unstructured mesh	49
Efficient approach to solve time fractional Kardar–Parisi–Zhang equation on unbounded domains	48
Global existence for the defocusing Sobolev critical Schrödinger equation under the finite variance condition of initial data	48
Smoothness and Liouville type theorem for a system with cubic nonlinearities from biaxial nematic liquid crystals in two dimensions	48
Time-decay rate of global solutions to the generalized incompressible Oldroyd-B model with fractional dissipation	47
The semi-classical limit of Davey–Stewartson hierarchy	47
Editorial Board	47
Optimal convergence rate of the explicit Euler method for convection–diffusion equations	46

Strong comparison principle for a p-Laplace equation involving singularity and its applications	44
Stability of amplitude death in conjugate-coupled nonlinear oscillator networks	44
Exact smooth and sharp-fronted travelling waves of reaction–diffusion equations with Weak Allee effects	43
Equally spaced points are optimal for Brownian Bridge kernel interpolation	41
Quasi-periodic wave solutions of the nonlocal coupled nonlinear Schrödinger equation	40
Stability of entire solutions emanating from bistable planar traveling waves in exterior domains	40
Existence of periodic orbits for planar differential systems with delay angle	39
Existence and nonexistence of entire large solutions to a class of generalized quasilinear Schrödinger equations	39
Editorial Board	38
Numerical analysis of growth-mediated autochemotactic pattern formation in self-propelling bacteria	37
Least energy sign-changing solutions for discrete Kirchhoff-type problems	37
Editorial Board	36
Extending matrix–vector framework on multiple relaxation time lattice Boltzmann method	36
Planetary waves in polar basins: Some exact solutions	35
Inverse problem for the nonlinear long wave runup on a plane sloping beach	34
Melnikov analysis in a cubic system with a multiple line of critical points	34
Unbounded spectrum for a nonlinear eigenvalue problem with a variable exponent	34
Numerical analysis of the optimal 9-point finite difference scheme for the Helmholtz equation	33
An alternating shifted inverse power method for the extremal eigenvalues of fourth-order partially symmetric tensors	31
Study on a stochastic pest management system with insecticide residue effects and group defense behavior	31
Gradient recovery based finite element methods for the two-dimensional quad-curl problem	31
Stability of traveling wavefronts for advection–reaction–diffusion equation	30
Modified least squares estimators for Ornstein–Uhlenbeck processes from low-frequency observations	30
Lyapunov-based stability of delayed linear differential algebraic systems	29
The extension of Rippa’s algorithm beyond LOOCV	29
The multiple double-pole solitons and multiple negaton-type solitons in the space-shifted nonlocal nonlinear Schrödinger equation	28
Uniqueness of weak solutions to a Keller–Segel–Navier–Stokes system	28
Coexistence in a multi-species chemostat model with Markov switchings	27
T-product based ℓ1	27
The zero-phase solution and rarefaction wave structures for the higher-order Chen–Lee–Liu equation	27
Leighton and Wong type oscillation theorems for impulsive differential equations	27
Global attractivity of the equilibria of the diffusive SIR and SEIR epidemic models with multiple parallel infectious stages and nonlinear incidence mechanism	27
Subdivision scheme for discrete probability measure-valued data	26
Robustness and bistability in a cytokine-enhanced viral infection model	26
Second-order Emden–Fowler neutral differential equations: A new precise criterion for oscillation	25
A nonlinear anisotropic diffusion model with non-standard growth for image segmentation	25
Stability analysis of a single-species logistic model with time delay and constant inflow	25
Global asymptotic stability of a delay differential equation model for SARS-CoV-2 virus infection mediated by ACE2 receptor protein	25
Modulational instability and rogue wave solutions for the mixed focusing–defocusing semi-discrete coherently coupled nonlinear Schrödinger system with 4 × 4 Lax pair	24
Solution space characterisation of perturbed linear Volterra integrodifferential convolution equations: The	24
On the global well-posedness for a multi-dimensional compressible Navier–Stokes–Poisson system	24
A note on a critical bi-harmonic equation with logarithmic perturbation	24
The existence and nonlinear stability of stationary solutions to inflow problem for a reduced gravity two and a half layer model	23
Mass and energy conservative high-order diagonally implicit Runge–Kutta schemes for nonlinear Schrödinger equation	23
Geometric ergodicity and ultimate boundedness of a stochastic chemostat model with general nutrient uptake function	23
Support set and unique ergodicity of stochastic KdV equation	22
Numerical integration rules based on B-spline bases	22
Dynamic analysis of HIV infection model with CTL immune response and cell-to-cell transmission	22
Calculations for D-eigenvalues of a diffusion kurtosis tensor	21
The special solutions of 2-D steady isentropic irrotational relativistic Euler system	21

Foraging dynamics of social insect colonies with resource constraints in random environments	21
On saturation of the discrepancy principle for nonlinear Tikhonov regularization in Hilbert spaces	21
Further study on the crossing curves in two-delay differential equations with delay-dependent coefficients	20
A hybrid fractional order LMS algorithm for power system harmonic estimation	20
An S-type inclusion set for C-eigenvalues of a piezoelectric-type tensor	20
Asymptotically linear magnetic fractional problems	20
Orbital stability of pseudo-peakons for the fifth-order Camassa–Holm type equation	20
Double-pole dark-bright mixed solitons for a three-wave-resonant-interaction system	20
New S-type localization sets for 20
Persistence of kink and anti-kink wave solutions for the perturbed double sine-Gordon equation	20
Analysis of a higher order problem within the second gradient theory	19
Mixed localized wave solutions of the Hirota equation	19
Propagation dynamics of a free boundary problem in advective environments	19
Rotating, sliding or both?	19
Well-posedness of the generalized Navier–Stokes equations with damping	19
Asymptotic behavior of a stochastic microorganism flocculation model with time delay	19
Characteristic decompositions of the 3 × 3 reducible quasilinear strictly hyperbolic system	18
Global stability of a delayed diffusive predator–prey model with prey harvesting of Michaelis–Menten type	18
Unique continuation for a mean field game system	18
Local existence and uniqueness of weak solutions to fractional pseudo-parabolic equation with singular potential	18
Periodic solutions with prescribed minimal period for second-order Hamiltonian systems with non-symmetric potentials	18
Caputo–Hadamard fractional Halanay inequality	18
A Cahn–Hilliard–Biot system and its generalized gradient flow structure	18
Unique inversion of orders and potential for multi-term time fractional wave equations	18
Global stability for a delayed HIV reactivation model with latent infection and Beddington–DeAngelis incidence	18
A meshless method in reproducing kernel space for solving variable-order time fractional advection–diffusion equations on arbitrary domain	18
In a river or an ocean: Similarity-reduction work on a (3+1)-dimensional extended shallow water wave equation	18
Backward bifurcation arising from decline of immunity against emerging infectious diseases	17
The ∂	17
Energy equality of the two-fluid incompressible Navier–Stokes–Maxwell equations	17
A kernel regression approach for identification of first order differential equations based on functional data	17
Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions	17
The sharp time decay rates for the incompressible Phan-Thien–Tanner system with magnetic field in	16
A novel semi-analytical meshless method for the thickness optimization of porous material distributed on sound barriers	16
On the global stability of smooth solutions of the Navier–Stokes equations	16
Global attractor for a class of inhomogeneous reaction–diffusion equation in unbounded domain	16
Asymptotic behaviors of forced waves for the lattice Lotka–Volterra competition system with shifting habitats	16
Global attractors in Orlicz spaces for reaction–diffusion equations	16
The peakon solutions of a new integrable Camassa–Holm equation	16
Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems	16
Radial solutions for Neumann problems involving prescribed mean curvature operator in a ball and in an annular domain	16
Multiplicity of solutions for asymptotically quadratic Dirac–Poisson system with non-periodic potential	16
Singularity formation of hydromagnetic waves in cold plasma	15
Stability and bifurcation in a reaction–diffusion model with nonlinear boundary conditions	15
Exponential stability for systems of delay differential equations with block matrices	15
An efficient augmented approach algorithm for incompressible Stokes problems on staggered Cartesian grids	15
A new meshless method of solving the distributed-order time-fractional mobile-immobile equations	15
Remarks on the model of quasi-homogeneous binary mixtures with the NASG equations of state	15
G2	15
The existence and numerical method for a free boundary problem modeling the ductal carcinoma in situ	15
On conservative, positivity preserving, nonlinear FV scheme on distorted meshes for the multi-term nonlocal Nagumo-type equations	15
Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator	15
Fundamental results to the weighted Caputo-type differential operator	14
Solutions for discrete Schrödinger equations with a nonlocal term	14
Confluent Vandermonde with Arnoldi	14
Boundary blow-up solutions to the k-Hessian equation with singular we	14
An inverse eigenvalue problem for Jacobi matrices with a missing eigenvalue	14
Stationary distribution of a chemostat model with distributed delay and stochastic perturbations	14
Nontrivial solutions for indefinite Schrödinger–Poisson systems and Kirchhoff equations	14
Boundedness in a chemotaxis-May–Nowak model with exposed state	14
A reproducing kernel method for nonlinear C-q-fractional IVPs	14
Space-curved resonant solitons and interaction solutions of the (2+1)-dimensional Ito equation	14
Controllable rogue wave and mixed interaction solutions for the coupled Ablowitz–Ladik equations with branched dispersion	14
Bifurcation structures of a Leslie–Gower model with diffusion and advection	14
Two trigonometric function solutions of the mKdV equations	14
Operator splitting for coupled linear port-Hamiltonian systems	13
Sharp analysis of L1	13
Energy quadratization Runge–Kutta scheme for the conservative Allen–Cahn equation with a nonlocal Lagrange multiplier	13
Extended KdV equations generated by squared eigenfunction symmetry	13
A new hybrid trigonometric WENO scheme for hyperbolic conservation laws and highly oscillatory problems	13
Zero-filter limit for the Camassa–Holm equation in Sobolev spaces	13
A surrogate hyperplane Kaczmarz method for solving consistent linear equations	13
Convergence of a Ramshaw-Mesina iteration	13
On the improvement of four-node plane stress element	13
An energy estimate and a stabilized Lagrange–Galerkin scheme for a multiphase flow model	13
Global suppression and periodic change of the mosquito population in a sterile release model with delay	13
Existence of axially symmetric solutions for the planar Schrödinger–Newton equations with critical exponential growth	13
Iterative optimization method for determining optimal shape parameter in RBF-FD method	13
A conservative Allen–Cahn equation with a curvature-dependent Lagrange multiplier	13
Efficient implementation of mixed finite element methods for parabolic problems	13

Existence of a fully implicit solution with second-order time evolution for strong nonlinear diffusion equation	13
Stability of implicit deferred correction methods based on BDF methods	13
Stability of periodic traveling fronts for a time–space periodic dengue transmission model	13
Stability estimate for a nonlinear coupled heat transfer model	13
Stability and asymptotic properties of the SEQIR epidemic model	12
Bi-Hamiltonian structure of a super KdV equation of Kupershmidt	12
On smoothness of 3D generalized MHD equations	12
The unique solution of a class of the new generalized absolute value equation	12
On the existence of locally-defined projective interpolations	12
First order strong convergence of positivity preserving logarithmic Euler–Maruyama method for the stochastic SIS epidemic model	12
Positive solutions of parameter-dependent nonlocal differential equations with convolution coefficients	12
The stationary distribution of a stochastic SIQS epidemic model with varying total population size	12
A Pk+	12
Study of a homoclinic canard explosion from a degenerate center	12
Legendre spectral volume methods for Allen–Cahn equations by the direct discontinuous Galerkin formula	12
Group analysis and invariant solutions of the (3+1)-dimensional defocusing Gardner-KP equation	12
Global existence of large solutions for the parabolic–elliptic Keller–Segel system in Besov type spaces	12
Sensitivity analysis and stationary probability distributions of a stochastic two-prey one-predator model	12
Analysis of solution to an elliptic free boundary value problem equipped with a ‘bad’ data	12
Regularity and energy transfer for a nonlinear beam equation	12
A linear second-order maximum bound principle preserving finite difference scheme for the generalized Allen–Cahn equation	12
Torsional creep problems involving Grushin-type operators	12
Sonic–supersonic–shock–subsonic–sonic solution to Euler–Poisson system with varying background charges	12
Generalized finite difference method for electroelastic analysis of three-dimensional piezoelectric structures	11
A product integration rule on equispaced nodes for highly oscillating integrals	11
Global dynamics of a controlled discontinuous diffusive SIR epidemic system	11
Optical soliton noninteraction transmission in optical communication systems	11
A remark on quasilinear Schrödinger equations with Berestycki–Lions conditions	11
Variational multiscale virtual element method for the convection-dominated diffusion problem	11
A diffuse interface box method for elliptic problems	11
A new error analysis of a linearized Euler Galerkin scheme for Schrödinger equation with cubic nonlinearity	11
The ∂̄	11
Analysis of degenerate p-Laplacian elliptic equations involving Hardy	11
A fast element-free Galerkin method for the fractional diffusion-wave equation	11
An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order	11
A peridynamics approach modeling gas flow in porous media with damaged regions	11
Wronskian solutions and N–soliton solutions for the Hirota–Satsuma eq	11
Analysis of multiscale methods for stochastic dynamical systems driven by α	10
Nonexistence result for Chern–Simons–Schrödinger–Higgs system	10
Conditional Ulam stability and its application to the logistic model	10
Uniqueness of single-peaked solutions to singularity perturbed semilinear Dirichlet problems	10
Turing–Hopf bifurcation in a diffusive predator–prey model with schooling behavior and Smith growth	10
Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system	10
On an adaptive FEM-BEM for nonlinear transmission problem	10
The space–time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation	10
Dynamical analysis of higher-order rogue waves on the various backgrounds for the reverse space–time Fokas–Lenells equation	10
Manifold expressions of all solutions of the Yang–Baxter-like matrix equation for rank-one matrices	10
Single-spike solutions to the 1D shadow Gierer–Meinhardt problem	10
An adaptive homotopy tracking algorithm for solving nonlinear parametric systems with applications in nonlinear ODEs	10
Multiple-relaxation-time lattice Boltzmann model for anisotropic liquid–solid phase change	10
On coupled flows of micropolar heat conducting fluids with mixed boundary conditions	10
A hybrid numerical method for non-linear transient heat conduction problems with temperature-dependent thermal conductivity	10
A stochastic predator–prey eco-epidemiological model with the fear effect	10
The Liouville theorems for 3D stationary tropical climate model in local Morrey spaces	10
Painlevé analysis, integrability property and multiwave interaction solutions for a new (4+1)-dimensional KdV–Calogero–Bogoyavlenkskii–Schiff equation	10
Low rank matrix recovery with impulsive noise	10
Existence of a generalized polynomial attractor for the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity	10
Density function and stationary distribution of a stochastic SIR model with distributed delay	10
Global stability of a cytokine-enhanced viral infection model with nonlinear incidence rate and time delays	10
A new B-spline type approximation method for non-smooth functions	10
Highly efficient difference methods for stochastic space fractional wave equation driven by additive and multiplicative noise	10
Restarted randomized surrounding methods for solving large linear equations	10
A note on stability of fractional logistic maps	10
A generalized plane wave discontinuous Galerkin method for three-dimensional anisotropic Helmholtz equations with variable wave numbers	9
Multiple positive solutions for a logarithmic Kirchhoff type problem in	9
Harnack type inequality and Liouville theorem for subcritical fully nonlinear equations	9
Propagation properties of bright solitons generated by the complex Ginzburg–Landau equation with high-order dispersion and nonlinear gradient terms	9
Extensive generalized shift-splitting preconditioner for 3 × 3 block saddle point problems	9
Structure-preserving exponential time differencing methods for modeling Josephson Junctions	9
Advanced stability analysis for linear systems with time-varying delays via a generalized integral inequality	9
A new ‘walk on spheres’ type method for fractional diffusion equation in high dimensions based on the Feynman–Kac formulas	9
Editorial Board	9
Breathers, rogue waves and semi-rational solutions for a generalized Heisenberg ferromagnet equation	9
The degenerate breather solutions for the Boussinesq equation	9
Inverse matrix estimations by iterative methods with weight functions and their stability analysis	9
Adaptive scaling damped BFGS method without gradient Lipschitz continuity	9
Travelling waves in a minimal go-or-grow model of cell invasion	9
Efficient low-rank quaternion matrix completion under the learnable transforms for color image recovery	9
Global stability of a predator–prey model with generalist predator	9
Ordinary differential equations invariant under two-variable Möbius transformations	9
An accurate, robust, and efficient finite difference scheme with graded meshes for the time-fractional Burgers’ equation	9
Necessary and sufficient conditions for moment stability of positive Markov jump linear systems	9
Editorial Board	9
Total and scattered field decomposition technique in mixed FETD methods and its applications for electromagnetic cloaks	9
Some general bright soliton solutions and interactions for a (2＋1)-dimensional nonlocal nonlinear Schrödinger equation	9
Normalized solutions to the planar Schrödinger–Poisson systems with square-root nonlinearity	9
Poisson bracket formulation of a higher-order, geometrically-exact beam	9
State transitions for the rational solutions of Kundu equation with non-zero boundary conditions	9
Corners and collapse: Some simple observations concerning critical masses and boundary blow-up in the fully parabolic Keller–Segel system	9
Analytical solution for potential flow across two circular cylinders using the BIE in conjunction with degenerate kernels of bipolar coordinates	9
Note on the diffusive prey-predator model with variable coefficients and degenerate diffusion	9
Note on the global wellposedness of two-dimensional incompressible Navier–Stokes fluid structure interaction model	9
Editorial Board	9
Polynomial approximation of derivatives through a regression–interpolation method	9
Editorial Board	9