Journal of Difference Equations and Applications

Article	Citations
Mathematical model of measles transmission dynamics using real data from Nigeria	20
Someq-supercongruences for truncated forms of squares of basic hypergeometric series	19
Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point	16
An adaptive difference scheme for parabolic delay differential equation with discontinuous coefficients and interior layers	14
Uniformly historic behaviour in compact dynamical systems	13
Stability and Neimark–Sacker bifurcation for a discrete Nicholson's blowflies model with proportional delay	13
Some variations of a ‘divergent’ Ramanujan-typeq-supercongruence	12
Bifurcation analysis and hybrid control of a discrete-time predator–prey model	11
On existence and uniqueness of a modified carrying simplex for discrete Kolmogorov systems	10
Necessary and sufficient conditions for the roots of a cubic polynomial and bifurcations of codimension-1, -2, -3 for 3D maps	10
Convergence analysis for iterative learning control of impulsive linear discrete delay systems	10
On the performance of some NSFD methods for a 2-D generalized Burgers–Huxley equation	8
Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound	8
Monotonicity results for sequential fractional differences of mixed orders with negative lower bound	8
Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis	8
An improvement of two nonstandard finite difference schemes for two population mathematical models	7
On the exact and numerical complex travelling wave solution to the nonlinear Schrödinger equation	7
Someq-congruences on double basic hypergeometric sums	7
Congruences and telescopings of P-recursive sequences	7
A note on a positivity preserving nonstandard finite difference scheme for a modified parabolic reaction–advection–diffusion PDE	7
Controlling chimera and solitary states by additive noise in networks of chaotic maps	7
General theory of the higher-order quaternion linear difference equations via the complex adjoint matrix and the quaternion characteristic polynomial	7
Random attractors for multi-valued multi-stochastic delayed p-Laplace lattice equations	7
Septic Hermite collocation method for the numerical solution of Benjamin–Bona–Mahony–Burgers equation	6
An analysis of polynomial sequences and their application to discrete fractional operators	6

Fast high-accuracy compact conservative difference schemes for solving the nonlinear Schrödinger equation	6
Emission charge controllability in Cournot duopoly: static and dynamic effects	6
On regular curve homeomorphisms without periodic points	6
Meromorphic functions of finiteφ-order and linearq-difference equations	6
Sensitivity and chaos on product and on hyperspatial semiflows	6
Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions	6
An entropy based on a fractional difference operator	5
On some Sobolev spaces with matrix weights and classical type Sobolev orthogonal polynomials	5
K-symbol fractional order discrete-time models of Lozi system	5
Stability of coupled Huygens oscillators	5
Derivation of weighting rules for developing a class of A-stable numerical integration scheme: αI-(2 + 3)P method	5
Aβ-Sturm–Liouville problem associated with the general quantum operator	5
Applications of the novel diamond alpha Hardy–Copson type dynamic inequalities to half linear difference equations	5
A numerical method for solving hyperbolic partial differential equations with piecewise constant arguments and variable coefficients	5
On the forward dynamical behaviour of nonautonomous lattice dynamical systems	4
A high order robust numerical scheme for the generalized Stein's model of neuronal variability	4
On Shilnikov attractors of three-dimensional flows and maps	4
A nullcline approach to global stability in discrete-time predator–prey models	4
Dynamical behaviour in discrete coupled within-host and between-host epidemic model with environmentally driven and saturation incidence	4
Border collision bifurcations in a piecewise linear duopoly model	4
Exponential dichotomy for noninvertible linear difference equations	4
Proof of some conjectural congruences modulo p3	4
On rotated grid point iterative method for solving 2D fractional reaction–subdiffusion equation with Caputo–Fabrizio operator	4
A non-standard finite difference scheme for a class of predator–prey systems with non-monotonic functional response	4
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives	4
On construction of almost periodic sequences and applications to some discrete population models	4
Dynamics of three-dimensional A-diffeomorphisms with two-dimensional attractors and repellers	4
Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps	4
Dynamics of a discrete eco-epidemiological model with disease in the prey	4
A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds	4
Stochastic implicit difference equations of index-1	4
A higher order implicit adaptive finite point method for the Burgers' equation	4
Global exponential stability of discrete-time Hopfield neural network models with unbounded delays	3
High-order compact finite difference scheme with two conserving invariants for the coupled nonlinear Schrödinger–KdV equations	3
The single-indexed exceptional Krawtchouk polynomials	3
On target-oriented control of Hénon and Lozi maps	3
A dynamically consistent nonstandard finite difference scheme for a generalized SEIR epidemic model	3
Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions	3
A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh	3
A transitive homeomorphism on the Lelek fan	3
A high accuracy compact semi-constant mesh off-step discretization in exponential form for the solution of non-linear elliptic boundary value problems	3
Well-posedness and dynamics of double time-delayed lattice FitzHugh–Nagumo systems	3
Aθ-finite difference scheme based on cubic B-spline quasi-interpolation for the time fractional Cattaneo equation with Caputo–Fabrizio operator	3
Bifurcation analysis of a piecewise-smooth Ricker map with proportional threshold harvesting	3
Stability analysis of a time varying population model without migration	3
Detecting invariant expanding cones for generating word sets to identify chaos in piecewise-linear maps	3
Discrete-time versus continuous-time toxic predation models	3
Numerical approximation to the MEW equation for the single solitary wave and different types of interactions of the solitary waves	3
Gosper summability of rational multiples of hypergeometric terms	3
Some limit relationships between some two-variable finite and infinite sequences of orthogonal polynomials	3

Applications of rational difference equations to spectral graph theory	3
Discrete Kirchhoff equations with sign-changing coefficients	3
The SEIR Covid-19 model described by fractional-order difference equations: analysis and application with real data in Brazil	3
Weighted pseudo asymptotically antiperiodic sequential solutions to semilinear difference equations	3
Invariant densities for intermittent maps with critical points	3
The Lorenz model in discrete time	3
Chaotic behaviour of countable products of homeomorphism groups	3
Propagation threshold in an integrodifference predator–prey system of Leslie–Gower type	3
Spatial maxima, unimodality, and asymptotic behaviour of solutions to discrete diffusion-type equations	3
Chaos in popular metaheuristic optimizers – a bibliographic analysis	3
Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-2	3
On discrete coherent pairs of measures	3
Inverse problems for Jacobi operators with mixed spectral data	3
Mathematical modelling and nonstandard finite scheme analysis for an Ebola model transmission with information and voluntary isolation	3
Global asymptotic stability of evolutionary periodic Ricker competition models	2
Random exponential attractor for a non-autonomous Zakharov lattice system with multiplicative white noise	2
Convergence and stability of meshfree method based on radial basis function for a hyperbolic partial differential equation with piecewise constant arguments	2
Wolbachia spread dynamics in mosquito populations in cyclic environments	2
Controlling chaotic transients in the Hénon and the Lozi map with the safety function	2
Periods of a max-type equation	2
Enhanced design and hardware implementation of a chaos-based block cipher for image protection	2
Bohr/Levitan almost periodic and almost automorphic solutions of monotone difference equations with a strict monotone first integral	2
Ramified continua as global attractors of C 1 -smooth self-maps of a cylinder close to skew products	2
Dynamics of the Secant map near infinity	2
Topological pressures of a factor map for free semigroup actions	2
Remarks on minimal sets on dendrites and finite graphs	2
Stability of a stochastic discrete SIS epidemic model with general nonlinear incidence rate	2
A higher-dimensional generalization of the Lozi map: bifurcations and dynamics	2
Dynamic game model for R&D strategy in high-tech enterprises	2
Asymptotic behaviour of semi-canonical third-order functional difference equations	2
A class of new successive permutation iterative algorithms for diffusion equation	2
On the zero-multiplicity of the k-generalized Fibonacci sequence	2
Potential difference games and applications	2
Existence of the carrying simplex for a retrotone map	2
A note on a positivity preserving hyperbolic NSFD scheme for heat transfer	2
On a discrete model of tumour–immune system interactions with blockade of immune checkpoints	2
2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case	2
Travelling wave solutions in a predator–prey integrodifference system	2
Asymptotic behaviour of non-autonomous discrete complex Ginzburg–Landau equations driven by nonlinear noise	2
Visibility in restricted involutions	2
Dynamics of q deformed Ricker map	2
Generic and dense distributional chaos with shadowing	2
The paths of nine mathematicians to the realm of dynamical systems	2
Memristor-based Gauss chaotic maps with hidden/self-exited dynamics	2
Smooth conjugacy of difference equations derived from elliptic curves	2
Consistent discrete global dynamics of a general initial boundary value problem for hepatitis B virus infection with capsids and adaptive immunity	2
A robust nonstandard finite difference scheme for pricing real estate index options	2
Nonlinear dynamics and hyperchaos in a modified memristor-based Chua's circuit and its generalized discrete system	2
On the global dynamical properties of a Fermi–Ulam model	2
Second-order iterative learning control for a class of switched discrete-time systems with model uncertainties, external noises and time-delay	2
Stern-Brocot tree and Ducci map	2
Discrete networked dynamic systems with mode separation: state and output synchronization	2
Application of periodic Bernoulli polynomials in approximating the solution of linear time-delay optimal control problems	1
Capturing chaos: a multidisciplinary approach to nonlinear population dynamics	1
An elementary approach to solve recursions relative to the enumeration of S-Motzkin paths	1
Chaotic attractors captured from remote sensing time series for the dynamics of cereal crops	1
The ideal free distribution and the evolution of partial migration	1
Second-order difference equation for Sobolev-type orthogonal polynomials: Part I: theoretical results	1
Several transformation formulas for basic hypergeometric series	1
Evolution maps and symmetry	1
Truncated Hermite polynomials	1
Combinatorial identities involving reciprocals of the binomial and central binomial coefficients and harmonic numbers	1
Classification of variational multiplicative fourth-order difference equations	1
Limit periodic perturbations of difference systems with coefficients from commutative groups	1
Markov partition in the attractor of Lozi maps	1
Recurrence and nonwandering sets of local dendrite maps	1
Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations	1
Divided differences and well-poised q-series	1
Polynomial solutions to the first order difference equations in the bivariate difference field	1
On an anisotropic discrete boundary value problem of Kirchhoff type	1
On solutions for some class of integrable difference equations	1
Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller	1
On the convergence of NSFD schemes for a new class of advection–diffusion–reaction equations	1
A current-value Hamiltonian approach to discrete-time optimal control problems in economic growth theory	1
A WZ proof for a Ramanujan-like series involving cubed binomial coefficients	1
Dynamics of quadratic stochastic operators generated by China's five element philosophy	1
‘Diophantine’ and factorization properties of finite orthogonal polynomials in the Askey scheme	1
Hyperbolicity of delay equations via cocycles	1
New approach for the chaotic dynamical systems involving Caputo-Prabhakar fractional derivative using Adams-Bashforth scheme	1
Population growth in discrete time: a renewal equation oriented survey	1

Iterative roots of exclusive multifunctions	1
Search for invariant sets of the generalized tent map	1
An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems	1
The roles that shooting methods can play in the theory of discrete boundary value problems	1
Further WZ-based methods for proving and generalizing Ramanujan's series	1
Lyapunov-type inequalities for third-order linear and half-linear difference equations and extensions	1
Mathematical modelling of binge drinking from social interactions	1
Discrete diffusion-type equation on regular graphs and its applications	1
The effects of three release strategies on Wolbachia infection frequency in mosquito populations	1
Multi-transitivity of semigroup actions	1
On secure communication scheme-based mixed discrete-time hyperchaotic systems	1
A bivariate generating function for zeta values and related supercongruences	1
Pillai's problem with k-Fibonacci and Pell numbers	1
Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra	1
On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps	1
A Siegel theorem for periodic difference systems	1
On some congruences involving Apéry-like numbers Sn	1
Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors	1
On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson's extrapolation	1
Statistical self-similarity in Lozi and Hénon's strange attractors	1
Unique positive solutions to q-discrete equations associated with orthogonal polynomials	1
The convergence of two linearized finite difference schemes for the modified phase field crystal equation	1
Reduced transfer operators for singular difference equations	1
Extending nonstandard finite difference scheme rules to systems of nonlinear ODEs with constant coefficients	1
Option pricing: the reduced-form SDE model	1
On stability of a reaction diffusion system described by difference equations	1
On nonlinear discrete Sturm–Liouville boundary value problems with unbounded nonlinearities	1
Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system	1
Reversing the paths in the Ducci tree	1
Generalized Fibonacci–Leonardo numbers	1
A discrete-time dynamical system of mosquito population	1
q-Analogues of some supercongruences related to Euler numbers	1
Oscillations of deviating difference equations with continuous time and oscillatory coefficients	1
On the relationship between Lozi maps and max-type difference equations	1
Discrete Melnikov functions	1
A three-level implicit difference scheme for solving the inviscid Burgers' equation with time delay	1
Lozi map embedded into the 2D border collision normal form	1
On the use of chaotic dynamics for mobile network design and analysis: towards a trace data generator	1
Dimensions of slices through the Sierpiński gasket	1
Error analysis of a weak Galerkin finite element method for singularly perturbed differential-difference equations	1
Gosper–type sums with reciprocals of binomial coefficients of the form (3n+ϵn)	1
Exponential dichotomy for noninvertible linear difference equations: block triangular systems	1
The evolutionary stability of partial migration with Allee effects	1
Qualitative properties and two strong resonances of a discrete reduced Lorenz system	1
Global behaviour of a class of discrete epidemiological SI models with constant recruitment of susceptibles	1
Dispersal-driven coexistence in a multiple-patch competition model for zebra and quagga mussels	1
Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator	1