Acta Applicandae Mathematicae

Article	Citations
Keller-Segel Chemotaxis Models: A Review	68
Global Dynamics of an SEIR Model with Two Age Structures and a Nonlinear Incidence	42
Boundedness of Classical Solutions to a Degenerate Keller–Segel Type Model with Signal-Dependent Motilities	35
Boundedness for a Fully Parabolic Keller–Segel Model with Sublinear Segregation and Superlinear Aggregation	22
Stability Results of an Elastic/Viscoelastic Transmission Problem of Locally Coupled Waves with Non Smooth Coefficients	18
Global Boundedness of the Fully Parabolic Keller-Segel System with Signal-Dependent Motilities	16
Linear, Second-Order Accurate, and Energy Stable Scheme for a Ternary Cahn–Hilliard Model by Using Lagrange Multiplier Approach	11
A Class of Nonlinear Inclusions and Sweeping Processes in Solid Mechanics	9
Fractional Landweber Iterative Regularization Method for Identifying the Unknown Source of the Time-Fractional Diffusion Problem	9
Exponential Stability for a Thermoelastic Porous System with Microtemperatures Effects	8
Global Solvability and Stabilization in a Three-Dimensional Cross-Diffusion System Modeling Urban Crime Propagation	8
On Nonlinear Schrödinger Equations with Repulsive Inverse-Power Potentials	8
Linearized Boltzmann Collision Operator: I. Polyatomic Molecules Modeled by a Discrete Internal Energy Variable and Multicomponent Mixtures	8
Hamiltonian Formulation of Systems Described Using Fractional Singular Lagrangian	7
Boundedness in a Quasilinear Chemotaxis Model with Logistic Growth and Indirect Signal Production	7
Time-Dependent Wave Equations on Graded Groups	7
Central Limit Theorem and Moderate Deviation Principle for McKean-Vlasov SDEs	6
Microscopic Tridomain Model of Electrical Activity in the Heart with Dynamical Gap Junctions. Part 1 – Modeling and Well-Posedness	6
An Inverse Source Problem for Anomalous Diffusion Equation with Generalized Fractional Derivative in Time	6
Traveling Wave Solutions in a Nonlocal Dispersal SIR Epidemic Model with General Nonlinear Incidence	6
Global Classical Solutions to an Oncolytic Viral Therapy Model with Triply Haptotactic Terms	6
Equilibrium Programming and New Iterative Methods in Hilbert Spaces	6
The Maximum Regularity Property of the Steady Stokes Problem Associated with a Flow Through a Profile Cascade	5
Existence of Analytic Solutions for Some Classes of Singular Integral Equations of Non-normal Type with Convolution Kernel	5
Reduced AKNS Spectral Problems and Associated Complex Matrix Integrable Models	5

Influence of Flux Limitation on Large Time Behavior in a Three-Dimensional Chemotaxis-Stokes System Modeling Coral Fertilization	5
New Type of Fractal Functions for the General Data Sets	5
Three Scale Unfolding Homogenization Method Applied to Cardiac Bidomain Model	5
Projection and Contraction Methods for Solving Bilevel Pseudomonotone Variational Inequalities	4
On the Use of the Riesz Transforms to Determine the Pressure Term in the Incompressible Navier-Stokes Equations on the Whole Space	4
Riemann Problem for a Class of Non-strictly Hyperbolic Systems of Conservation Laws	4
Criteria for the Strong Ellipticity Condition of a Partially Symmetric Tensor	4
Detecting Affine Equivalences Between Implicit Planar Algebraic Curves	4
Dispersive Effects in Two- and Three-Dimensional Peridynamics	4
Exponential Stability in Mean Square of Stochastic Functional Differential Equations with Infinite Delay	4
On the Classification of Solutions to a Weighted Elliptic System Involving the Grushin Operator	4
Global Regularity of the 2D Density-Dependent MHD with Vacuum	4
On the Differential Variational Inequalities of Parabolic-Parabolic Type	4
One Dimensional Reduction of a Renewal Equation for a Measure-Valued Function of Time Describing Population Dynamics	4
Well-Posedness, Blow-up Criteria and Stability for Solutions of the Generalized MHD Equations in Sobolev-Gevrey Spaces	4
Goodness-of-Fit Tests for Stationary Gaussian Processes with Tapered Data	4
Uniform Approximation of Impulsive Hopfield Cellular Neural Networks by Piecewise Constant Arguments on $[\tau , \infty )$	4
A New Type of $F$-Contraction and Their Best Proximity Point Results with Homotopy Application	4
Stable Phaseless Sampling and Reconstruction of Real-Valued Signals with Finite Rate of Innovation	4
On the Boundedness of the Generalized Translation Operator on Variable Exponent Lebesgue Spaces	3
Existence and Time Decay for Global Small Solution of 2D Generalized Magneto-Micropolar Equations	3
Large Time Behavior in a Fractional Chemotaxis-Navier-Stokes System with Competitive Kinetics	3
Asymptotic Behavior for a Viscoelastic Kirchhoff-Type Equation with Delay and Source Terms	3
Weighted Pseudo Almost Periodic Synchronization for Clifford-Valued Neural Networks with Leakage Delay and Proportional Delay	3
Some Properties of Kantorovich Variant of Szász Operators Induced by Multiple Sheffer Polynomials	3
Efficiency of Protection in the Presence of Immigration Process for an Age-Structured Epidemiological Model	3
Controllability of Impulsive Fractional Integro-Differential Evolution Equations	3
Darboux Transformations for the Supersymmetric Two-Boson Hierarchy	3
Global Existence and Asymptotic Stability for a Class of Coupled Reaction-Diffusion Systems on Growing Domains	3
Effect of a Membrane on Diffusion-Driven Turing Instability	3
Persistence and Stability for a Class of Forced Positive Nonlinear Delay-Differential Systems	3
Existence of Signed and Sign-Changing Solutions for Weighted Kirchhoff Problems with Critical Exponential Growth	3
Incompressible Limits of the Patlak-Keller-Segel Model and Its Stationary State	3
Stability and Large Time Behavior of the 2D Boussinesq Equations with Mixed Partial Dissipation Near Hydrostatic Equilibrium	3
Stabilization of an Axially Moving Elastic Tape Under an External Disturbance	3
Gradient Flow Formulations of Discrete and Continuous Evolutionary Models: A Unifying Perspective	3
Topological Sensitivity Analysis Method in Identifying of Point Sources via Time-Fractional Diffusion Equation	3
Essential S-Spectrum for Quaternionic Quasi-Compact Operators on Right Quaternionic Hilbert Spaces	3
Global Strong Solution and Exponential Decay to the 3D Cauchy Problem of Nonhomogeneous Bénard System with Vacuum	3
Continuity of Global Attractors for a Suspension Bridge Equation	3
Weak Solutions for Compressible Navier–Stokes–Fourier System in Two Space Dimensions with Adiabatic Exponent Almost One	3
Existence and Relaxation Results for Second Order Multivalued Systems	3
Optimal $Z$-Eigenvalue Inclusion Intervals for Even Order Tensors and Their Applications	3
The $N$-Link Swimmer in Three Dimensions: Controllability and Optimality Results	3
The Heat Equation with Singular Potentials. II: Hypoelliptic Case	3
Existence for a Singular Nonlocal Phase Field System with Inertial Term	2
Pseudo Essential Spectra in Banach Space and Application to Operator Matrices	2
Parameter Estimation for Stochastic Wave Equation Based on Observation Window	2
Bounding the $k$-Steiner Wiener and Wiener-Type Indices of Trees in Terms of Eccentric Sequence	2
Symmetries and Exact Solutions of the Diffusive Holling–Tanner Prey-Predator Model	2

Scattering for a Radial Defocusing Inhomogeneous Choquard Equation	2
Global Regularity of Solutions for the 3D Non-resistive and Non-diffusive MHD-Boussinesq System with Axisymmetric Data	2
Multi-Component Coupled Fokas-Lenells Equations and Theirs Localized Wave Solutions	2
Hamiltonians Generated by Parseval Frames	2
$\mathcal{N}_{A}$-Isometric Operators on Hilbert Spaces	2
Symmetry of Positive Solutions for Lane-Emden Systems Involving the Logarithmic Laplacian	2
Shadow Wave Tracking Procedure and Initial Data Problem for Pressureless Gas Model	2
Stability for an Interface Transmission Problem of Wave-Plate Equations with Dynamical Boundary Controls	2
Decay Estimate and Blow-up for a Damped Wave Equation with Supercritical Sources	2
Periodic $\mathrm{L}_{p}$ Estimates by ℛ-Boundedness: Applications to the Navier-Stokes Equations	2
Approximate Controllability from the Exterior of Space Fractional Parabolic-Elliptic Coupled Systems	2
Existence Result for Solutions to Some Noncoercive Elliptic Equations	2
Stability of a Non-Lipschitz Stochastic Riemann-Liouville Type Fractional Differential Equation Driven by Lévy Noise	2
Nonlinear Degenerate Parabolic Equations with a Singular Nonlinearity	2
Effects of Protection Zone and Nonlinear Growth on a Predator-Prey Model	2
Global Well-Posedness of the 3D Generalized Navier-Stokes Equations with Fractional Partial Dissipation	2
On the Unification of Schemes and Software for Wavelets on the Interval	2
A Hunter-Gatherer–Farmer Population Model: New Conditional Symmetries and Exact Solutions with Biological Interpretation	2
Quasi-Stability and Attractor for a Laminated-Coleman-Gurtin Beam Without Structural Damping	2
Frictionless Signorini’s Contact Problem for Hyperelastic Materials with Interior Point Optimizer	2
Fokas Diagonalization of Piecewise Constant Coefficient Linear Differential Operators on Finite Intervals and Networks	2
Convergence of Mock Fourier Series on Generalized Bernoulli Convolutions	2
Normalized Ground States for the Mass-Energy Doubly Critical Kirchhoff Equations	2
New Exponential Stability Result for Thermoelastic Laminated Beams with Structural Damping and Second Sound	2
Optimal Control for a Dynamic Thermo-Electro-Viscoelastic Contact Problem with Frictional Heating	2
Topological Travelling Waves of a Macroscopic Swarmalator Model in Confined Geometries	2
On Scaling Properties for Two-State Problems and for a Singularly Perturbed $T_{3}$ Structure	2
On the Weak Convergence of Monge-Ampère Measures for Discrete Convex Mesh Functions	2
On Some Nonlocal Elliptic Systems with Gradient Source Terms	2
Stability of Delta Shock Solution for the Simplified Magnetohydrodynamics Equations Under the Linear Flux-Function Perturbation	2
Adaptation to DNA Damage, an Asymptotic Approach for a Cooperative Non-local System	2
Stability by Polynomial Squeezing for a Class of Energy Damping Plate Models	2
Pontryagin’s Maximum Principle for Distributed Optimal Control of Two Dimensional Tidal Dynamics System with State Constraints of Integral Type	1
Existence of a $T$-Periodic Solution for the Monodomain Model Corresponding to an Isolated Ventricle Due to Ionic-Diffusive Relations	1
Coexistence States of a Ratio-Dependent Predator-Prey Model with Nonlinear Diffusion	1
Global Existence of Weak Solutions for the 2D Incompressible Keller-Segel-Navier-Stokes Equations with Partial Diffusion	1
Principal and Nonprincipal Solutions of Impulsive Dynamic Equations: Leighton and Wong Type Oscillation Theorems	1
Kirchhoff Equations with Choquard Exponential Type Nonlinearity Involving the Fractional Laplacian	1
Power Anti-Synchronization of Neural Networks with Proportional Delay Under Impulsive Effects	1
Stability for Euler-Bernoulli Beam Equation with a Local Degenerated Kelvin-Voigt Damping	1
Zero-Sum Average Cost Semi-Markov Games with Weakly Continuous Transition Probabilities and a Minimax Semi-Markov Inventory Problem	1
Energy Decay in Thermoelastic Bodies with Radial Symmetry	1
Quantum Hamiltonian Learning for the Fermi-Hubbard Model	1
On the Cauchy Problem for the mKdV–Sine-Gordon Equation with an Additional Term	1
Macro-Hybrid Dual Optimal Control of Transport Flow Through Elastoviscoplastic Porous Media	1
Global Strong Solutions to Cauchy Problem of 1D Non-resistive MHD Equations with No Vacuum at Infinity	1
Indirect Internal Controllability of Weakly Coupled Degenerate Wave Equations	1
Decay Rates for Mild Solutions of the Quasi-Geostrophic Equation with Critical Fractional Dissipation in Sobolev-Gevrey Spaces	1
Analysis on Steady States of a Competition System with Nonlinear Diffusion Terms	1
Controllability Results for a Cross Diffusion System with a Free Boundary by a Flatness Approach	1
Stability and Pattern Formation in a General Class of Reaction-Diffusion-Advection System	1
On Cumulative Tsallis Entropies	1
Perturbation Theorems for Regular Sampling in Wavelet Subspaces	1
Stability of a Vector-Borne Disease Model with a Delayed Nonlinear Incidence	1
Infinitesimally Helicoidal Motions with Fixed Pitch of Oriented Geodesics of a Space Form	1
Hilbert-Schmidt Numerical Radius of a Pair of Operators	1
Global Well-Posedness of Second-Grade Fluid Equations in 2D Exterior Domain	1
Asymptotics of Weak Solution to a Chemotaxis-Navier-Stokes System with Superlinear Degradation	1
Impact of the Damaging Consequences of the Second Spectrum on the Stabilization of Nonlinear Timoshenko Systems	1
Existence of Invariant Densities and Time Asymptotics of Conservative Linear Kinetic Equations on the Torus Without Spectral Gaps	1
Recursion Operators for Multidimensional Integrable PDEs	1
A New Result for Global Existence and Boundedness in a Three-Dimensional Self-consistent Chemotaxis-Fluid System with Nonlinear Diffusion	1
Delta Shocks and Vacuum States in the Vanishing Pressure Limit of Riemann Solutions to the Isentropic Euler System for Chaplygin Gas	1
Boundedness and Stabilization in a Two-Species and Two-Stimuli Chemotaxis System with Signaling Loop	1
Finite-Time Blow-up in a Two-Species Chemotaxis-Competition Model with Degenerate Diffusion	1
Regularity and Convergence Results of the Velocity-Vorticity-Voigt Model of the 3D Boussinesq Equations	1
Delta Shock Solution for a Generalized Zero-Pressure Gas Dynamics System with Linear Damping	1
Restoration of the Product Consumption Rate with Integral Cubic Smoothing Spline, Study of the Best Smoothing Parameter Choice	1
Behavior of Riemann Solutions of Extended Chaplygin Gas Under the Limiting Condition	1
Stability of Transmission Wave-Plate Equations with Local Indirect Damping	1
A Connection Between a Question of Bermond and Bollobás and Ramanujan Graphs	1
The Nehari Manifold Approach Involving a Singular p(x)-Biharmonic Problem with Navier Boundary Conditions	1
Interaction of Acceleration Wave with a Blast Wave in Two-Phase Chaplygin Flow Driven by Source Term	1
Two-Flow Instability of One Class of Spherically Symmetric Dynamic Equilibrium States of Vlasov-Poisson Plasma	1
An Analyses on the Pseudo Almost Automorphic Solutions of a Biological Model	1
Global Solvability in a Two-Species Chemotaxis System with Signal Production	1
Weak Solution and Qualitative Behavior of a Prion Proliferation Model in the Presence of Chaperone	1
Generalized Analytic Integrability of a Class of Polynomial Differential Systems in $\mathbb{C}^{2}$	1
Bifurcation Analysis of a Kolmogorov Type Tritrophic Model	1
Asymptotic Flocking for the Cucker-Smale Model with Time Variable Time Delays	1

Limiting Distributions for Particles Near the Frontier of Spatially Inhomogeneous Branching Brownian Motions	1
Dynamical Behavior of a Spatiotemporal Model in Open Advective Environments	1
Convergence of Energy Minimizers of a MEMS Model in the Reinforced Limit	1
Low Mach Number Limit for the Full Compressible Magnetohydrodynamic Equations Without Thermal Conductivity	1
On a Single-Component Regularity Criterion for the Non-resistive Axially Symmetric Hall-MHD System	1
Uniform Estimates for a Compressible Full MHD-$P1$ Approximate Model Arising in Radiation MHD	1
Exact Controllability of Degenerate Wave Equations with Locally Distributed Control in Moving Boundary Domain	1
Spreading Speeds for Two Species Competition Systems in Time Almost Periodic and Space Periodic Media	1
Stability of Pullback Random Attractors for Stochastic 3D Navier-Stokes-Voight Equations with Delays	1
Existence and Nonexistence of Solution for a Class of Quasilinear Schrödinger Equations with Critical Growth	1
Existence, Uniqueness and Mass Conservation for Safronov-Dubovski Coagulation Equation	1
On the Output-Feedback Regulation for a Second-Order System with Unknown Parameters: An I&I and MRAC Based Approach	1