Journal of Difference Equations and Applications

Article	Citations
Some q-supercongruences for truncated forms of squares of basic hypergeometric series	18
Mathematical model of measles transmission dynamics using real data from Nigeria	15
An efficient Mickens' type NSFD scheme for the generalized Burgers Huxley equation	15
Weakly contractive iterated function systems and beyond: a manual	15
Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point	14
An adaptive difference scheme for parabolic delay differential equation with discontinuous coefficients and interior layers	13
Uniformly historic behaviour in compact dynamical systems	13
Nonstandard finite difference method revisited and application to the Ebola virus disease transmission dynamics	13
Existence of multiple and sign-changing solutions for a second-order nonlinear functional difference equation with periodic coefficients	13
Some variations of a ‘divergent’ Ramanujan-type q-supercongruence	12
Asymptotic autonomous attractors for a stochastic lattice model with random viscosity	11
Zeros of recursively defined polynomials	10
Necessary and sufficient conditions for the roots of a cubic polynomial and bifurcations of codimension-1, -2, -3 for 3D maps	10
Bifurcation analysis and hybrid control of a discrete-time predator–prey model	9
Stability and Neimark–Sacker bifurcation for a discrete Nicholson's blowflies model with proportional delay	9
Convergence analysis for iterative learning control of impulsive linear discrete delay systems	9
Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound	8
On existence and uniqueness of a modified carrying simplex for discrete Kolmogorov systems	8
Small perturbations of smooth skew products and Sharkovsky's theorem	7
General theory of the higher-order quaternion linear difference equations via the complex adjoint matrix and the quaternion characteristic polynomial	7
Monotonicity results for sequential fractional differences of mixed orders with negative lower bound	7
An analysis of polynomial sequences and their application to discrete fractional operators	6
A note on a positivity preserving nonstandard finite difference scheme for a modified parabolic reaction–advection–diffusion PDE	6
Long-term dynamics of discrete-time predator–prey models: stability of equilibria, cycles and chaos	6
Septic Hermite collocation method for the numerical solution of Benjamin–Bona–Mahony–Burgers equation	6

Random attractors for multi-valued multi-stochastic delayed p-Laplace lattice equations	6
On regular curve homeomorphisms without periodic points	6
On the exact and numerical complex travelling wave solution to the nonlinear Schrödinger equation	6
Complexity and chaos control in a discrete-time Lotka–Volterra predator–prey system	6
Congruences and telescopings of P-recursive sequences	6
Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis	6
An entropy based on a fractional difference operator	5
Applications of the novel diamond alpha Hardy–Copson type dynamic inequalities to half linear difference equations	5
Meromorphic functions of finiteφ-order and linearq-difference equations	5
K-symbol fractional order discrete-time models of Lozi system	5
Some q-congruences on double basic hypergeometric sums	5
An improvement of two nonstandard finite difference schemes for two population mathematical models	5
q-difference equations for homogeneous q-difference operators and their applications	5
Emission charge controllability in Cournot duopoly: static and dynamic effects	5
On the forward dynamical behaviour of nonautonomous lattice dynamical systems	5
On some Sobolev spaces with matrix weights and classical type Sobolev orthogonal polynomials	5
A numerical method for solving hyperbolic partial differential equations with piecewise constant arguments and variable coefficients	5
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
Bifurcation, global dynamics and synchronization in a Bertrand game with R&D spillover and semi-collusion	4
Sensitivity and chaos on product and on hyperspatial semiflows	4
On the performance of some NSFD methods for a 2-D generalized Burgers–Huxley equation	4
Renormalized oscillation theory for symplectic eigenvalue problems with nonlinear dependence on the spectral parameter	4
Fast high-accuracy compact conservative difference schemes for solving the nonlinear Schrödinger equation	4
An efficient numerical method for solving Benjamin–Bona–Mahony–Burgers equation using difference scheme	4
Topological properties of Lorenz maps derived from unimodal maps	4
A high order robust numerical scheme for the generalized Stein's model of neuronal variability	4
Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps	4
Orthogonal polynomials, bi-confluent Heun equations and semi-classical weights	4
Dynamical behaviour in discrete coupled within-host and between-host epidemic model with environmentally driven and saturation incidence	4
On construction of almost periodic sequences and applications to some discrete population models	4
Aβ-Sturm–Liouville problem associated with the general quantum operator	3
Detecting invariant expanding cones for generating word sets to identify chaos in piecewise-linear maps	3
Dynamics of a discrete eco-epidemiological model with disease in the prey	3
Derivation of weighting rules for developing a class of A-stable numerical integration scheme: αI-(2 + 3)P method	3
Spatial maxima, unimodality, and asymptotic behaviour of solutions to discrete diffusion-type equations	3
Stochastic implicit difference equations of index-1	3
A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh	3
Discrete Kirchhoff equations with sign-changing coefficients	3
Stability analysis of a time varying population model without migration	3
Visibility in pattern-restricted permutations	3
Stability of coupled Huygens oscillators	3
Which orbit types force only finitely many orbit types?	3
On Shilnikov attractors of three-dimensional flows and maps	3
A non-standard finite difference scheme for a class of predator–prey systems with non-monotonic functional response	3
Chaos in popular metaheuristic optimizers – a bibliographic analysis	3
Aθ-finite difference scheme based on cubic B-spline quasi-interpolation for the time fractional Cattaneo equation with Caputo–Fabrizio operator	3
The Lorenz model in discrete time	3
Controlling chimera and solitary states by additive noise in networks of chaotic maps	3

Propagation threshold in an integrodifference predator–prey system of Leslie–Gower type	3
Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions	3
Global dynamics of a special class of nonlinear semelparous Leslie matrix models	3
Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions	3
A nullcline approach to global stability in discrete-time predator–prey models	3
Inverse problems for Jacobi operators with mixed spectral data	2
Dynamics of q deformed Ricker map	2
Global exponential stability of discrete-time Hopfield neural network models with unbounded delays	2
Generic and dense distributional chaos with shadowing	2
Dynamic game model for R&D strategy in high-tech enterprises	2
Bifurcation analysis of a piecewise-smooth Ricker map with proportional threshold harvesting	2
On the zero-multiplicity of the k-generalized Fibonacci sequence	2
Memristor-based Gauss chaotic maps with hidden/self-exited dynamics	2
Smooth conjugacy of difference equations derived from elliptic curves	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
Discrete-time versus continuous-time toxic predation models	2
2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case	2
A higher-dimensional generalization of the Lozi map: bifurcations and dynamics	2
Existence of positive strongly decaying solutions of second-order nonlinear q-difference equations	2
Well-posedness and dynamics of double time-delayed lattice FitzHugh–Nagumo systems	2
A high accuracy compact semi-constant mesh off-step discretization in exponential form for the solution of non-linear elliptic boundary value problems	2
Weighted pseudo asymptotically antiperiodic sequential solutions to semilinear difference equations	2
Controlling chaotic transients in the Hénon and the Lozi map with the safety function	2
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives	2
Potential difference games and applications	2
Periods of a max-type equation	2
A robust nonstandard finite difference scheme for pricing real estate index options	2
Chaotic behaviour of countable products of homeomorphism groups	2
Enhanced design and hardware implementation of a chaos-based block cipher for image protection	2
Gosper summability of rational multiples of hypergeometric terms	2
Some limit relationships between some two-variable finite and infinite sequences of orthogonal polynomials	2
Visibility in restricted involutions	2
Convex polyominoes revisited: enumeration of outer site perimeter, interior vertices, and boundary vertices of certain degrees	2
Random exponential attractor for a non-autonomous Zakharov lattice system with multiplicative white noise	2
Mathematical modelling and nonstandard finite scheme analysis for an Ebola model transmission with information and voluntary isolation	2
A class of new successive permutation iterative algorithms for diffusion equation	2
Asymptotic behaviour of semi-canonical third-order functional difference equations	2
Border collision bifurcations in a piecewise linear duopoly model	2
A boundedness and monotonicity preserving method for a generalized population model	2
The single-indexed exceptional Krawtchouk polynomials	2
On target-oriented control of Hénon and Lozi maps	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
Numerical approximation to the MEW equation for the single solitary wave and different types of interactions of the solitary waves	2
Discrete networked dynamic systems with mode separation: state and output synchronization	2
Dynamics of quadratic stochastic operators generated by China's five element philosophy	1
Second-order iterative learning control for a class of switched discrete-time systems with model uncertainties, external noises and time-delay	1
Analysis of a map-based neuronal model	1
Consistent discrete global dynamics of a general initial boundary value problem for hepatitis B virus infection with capsids and adaptive immunity	1
Global behaviour of a class of discrete epidemiological SI models with constant recruitment of susceptibles	1
A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds	1
Dynamics of three-dimensional A-diffeomorphisms with two-dimensional attractors and repellers	1
Asymptotic behaviour of non-autonomous discrete complex Ginzburg–Landau equations driven by nonlinear noise	1
Application of periodic Bernoulli polynomials in approximating the solution of linear time-delay optimal control problems	1
Lyapunov-type inequalities for third-order linear and half-linear difference equations and extensions	1
A transitive homeomorphism on the Lelek fan	1
Dispersal-driven coexistence in a multiple-patch competition model for zebra and quagga mussels	1
On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson's extrapolation	1
Limit periodic perturbations of difference systems with coefficients from commutative groups	1
q-Analogues of some supercongruences related to Euler numbers	1
Qualitative properties and two strong resonances of a discrete reduced Lorenz system	1
Oscillations of deviating difference equations with continuous time and oscillatory coefficients	1
Markov partition in the attractor of Lozi maps	1
On some congruences involving Apéry-like numbers Sn	1
A bivariate generating function for zeta values and related supercongruences	1
The effects of three release strategies on Wolbachia infection frequency in mosquito populations	1
Travelling wave solutions in a predator–prey integrodifference system	1
Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller	1
A Siegel theorem for periodic difference systems	1
Stern-Brocot tree and Ducci map	1
The convergence of two linearized finite difference schemes for the modified phase field crystal equation	1
Dimensions of slices through the Sierpiński gasket	1
Global attractivity of a unique positive periodic solution for a first-order nonlinear difference equation with time delays	1
Exponential dichotomy for noninvertible linear difference equations: block triangular systems	1
An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems	1
An elementary approach to solve recursions relative to the enumeration of S-Motzkin paths	1
Population growth in discrete time: a renewal equation oriented survey	1
On nonlinear discrete Sturm–Liouville boundary value problems with unbounded nonlinearities	1
On the unboundedness of the transit time of mean-median orbits	1

Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-2	1
Search for invariant sets of the generalized tent map	1
Reversing the paths in the Ducci tree	1
The logarithmic Cauchy quotient mean	1
Option pricing: the reduced-form SDE model	1
On the use of chaotic dynamics for mobile network design and analysis: towards a trace data generator	1
Existence of the carrying simplex for a retrotone map	1
Dynamics of the Secant map near infinity	1
Applications of rational difference equations to spectral graph theory	1
Ramified continua as global attractors of C 1 -smooth self-maps of a cylinder close to skew products	1
A WZ proof for a Ramanujan-like series involving cubed binomial coefficients	1
A three-level implicit difference scheme for solving the inviscid Burgers' equation with time delay	1
On secure communication scheme-based mixed discrete-time hyperchaotic systems	1
Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator	1
On discrete coherent pairs of measures	1
Pillai's problem with k-Fibonacci and Pell numbers	1
Capturing chaos: a multidisciplinary approach to nonlinear population dynamics	1
Statistical self-similarity in Lozi and Hénon's strange attractors	1
Divided differences and well-poised q-series	1
Evolution maps and symmetry	1
Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors	1
Discrete Melnikov functions	1
Wolbachia spread dynamics in mosquito populations in cyclic environments	1
On the convergence of NSFD schemes for a new class of advection–diffusion–reaction equations	1
The ideal free distribution and the evolution of partial migration	1
Convergence and stability of meshfree method based on radial basis function for a hyperbolic partial differential equation with piecewise constant arguments	1
Explicit formulas of sums involving harmonic numbers and Stirling numbers	1
Generalizations of Rodrigues type formulas for hypergeometric difference equations on nonuniform lattices	1
Chaotic attractors captured from remote sensing time series for the dynamics of cereal crops	1
Iterative roots of exclusive multifunctions	1
Stable manifolds for difference equations with infinite delay	1
Reduced transfer operators for singular difference equations	1
The roles that shooting methods can play in the theory of discrete boundary value problems	1
A discrete and q asymptotic iteration method	1
New approach for the chaotic dynamical systems involving Caputo-Prabhakar fractional derivative using Adams-Bashforth scheme	1
Stability of a stochastic discrete SIS epidemic model with general nonlinear incidence rate	1
Bohr/Levitan almost periodic and almost automorphic solutions of monotone difference equations with a strict monotone first integral	1
Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra	1
Multi-transitivity of semigroup actions	1
On the relationship between Lozi maps and max-type difference equations	1
Topological pressures of a factor map for free semigroup actions	1
Asymptotically stable heteroclinic cycles in discrete-time -equivariant cubic dynamical systems	1
Lozi map embedded into the 2D border collision normal form	1
Recurrence and nonwandering sets of local dendrite maps	1
On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps	1
On the existence of the stabilizing solution of generalized Riccati equations arising in zero-sum stochastic difference games: the time-varying case	1
A discrete-time dynamical system of mosquito population	1
The SEIR Covid-19 model described by fractional-order difference equations: analysis and application with real data in Brazil	1
On an anisotropic discrete boundary value problem of Kirchhoff type	1
Gosper–type sums with reciprocals of binomial coefficients of the form (3n+ϵn)	1
Unique positive solutions to q-discrete equations associated with orthogonal polynomials	1
Remarks on minimal sets on dendrites and finite graphs	1