OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Difference Equations and Applications is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-05-01 to 2024-05-01.)

Article	Citations
Some q-supercongruences for truncated forms of squares of basic hypergeometric series	19
Mathematical model of measles transmission dynamics using real data from Nigeria	16
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	15
An efficient Mickens' type NSFD scheme for the generalized Burgers Huxley equation	15
Existence of multiple and sign-changing solutions for a second-order nonlinear functional difference equation with periodic coefficients	13
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
Some variations of a ‘divergent’ Ramanujan-type q-supercongruence	12
Bifurcation analysis and hybrid control of a discrete-time predator–prey model	10
Necessary and sufficient conditions for the roots of a cubic polynomial and bifurcations of codimension-1, -2, -3 for 3D maps	10
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
Monotonicity results for sequential fractional differences of mixed orders with negative lower bound	7
Small perturbations of smooth skew products and Sharkovsky's theorem	7
Long-term dynamics of discrete-time predator–prey models: stability of equilibria, cycles and chaos	7
Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis	7
General theory of the higher-order quaternion linear difference equations via the complex adjoint matrix and the quaternion characteristic polynomial	7
On the exact and numerical complex travelling wave solution to the nonlinear Schrödinger equation	7
Congruences and telescopings of P-recursive sequences	6
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

Complexity and chaos control in a discrete-time Lotka–Volterra predator–prey system	6
On regular curve homeomorphisms without periodic points	6
Emission charge controllability in Cournot duopoly: static and dynamic effects	6
A note on a positivity preserving nonstandard finite difference scheme for a modified parabolic reaction–advection–diffusion PDE	6
q-difference equations for homogeneous q-difference operators and their applications	6
Sensitivity and chaos on product and on hyperspatial semiflows	6
Random attractors for multi-valued multi-stochastic delayed p-Laplace lattice equations	6
A numerical method for solving hyperbolic partial differential equations with piecewise constant arguments and variable coefficients	5
An entropy based on a fractional difference operator	5
An improvement of two nonstandard finite difference schemes for two population mathematical models	5
Meromorphic functions of finiteφ-order and linearq-difference equations	5
Some q-congruences on double basic hypergeometric sums	5
On some Sobolev spaces with matrix weights and classical type Sobolev orthogonal polynomials	5
Fast high-accuracy compact conservative difference schemes for solving the nonlinear Schrödinger equation	5
K-symbol fractional order discrete-time models of Lozi system	5
On the forward dynamical behaviour of nonautonomous lattice dynamical systems	5
Applications of the novel diamond alpha Hardy–Copson type dynamic inequalities to half linear difference equations	5
On the performance of some NSFD methods for a 2-D generalized Burgers–Huxley equation	4
Controlling chimera and solitary states by additive noise in networks of chaotic maps	4
Stochastic implicit difference equations of index-1	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
Proof of some conjectural congruences modulo p³	4
Derivation of weighting rules for developing a class of A-stable numerical integration scheme: αI-(2 + 3)P method	4
Orthogonal polynomials, bi-confluent Heun equations and semi-classical weights	4
Bifurcation, global dynamics and synchronization in a Bertrand game with R&D spillover and semi-collusion	4
Exponential dichotomy for noninvertible linear difference equations	4
A high order robust numerical scheme for the generalized Stein's model of neuronal variability	4
On rotated grid point iterative method for solving 2D fractional reaction–subdiffusion equation with Caputo–Fabrizio operator	4
A nullcline approach to global stability in discrete-time predator–prey models	4
Topological properties of Lorenz maps derived from unimodal maps	4
Global dynamics of a special class of nonlinear semelparous Leslie matrix models	3
A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh	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
Mathematical modelling and nonstandard finite scheme analysis for an Ebola model transmission with information and voluntary isolation	3
Stability analysis of a time varying population model without migration	3
Invariant densities for intermittent maps with critical points	3
Stability of coupled Huygens oscillators	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
Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions	3
Chaos in popular metaheuristic optimizers – a bibliographic analysis	3
Discrete Kirchhoff equations with sign-changing coefficients	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
Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps	3
Visibility in pattern-restricted permutations	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

On discrete coherent pairs of measures	3
Global exponential stability of discrete-time Hopfield neural network models with unbounded delays	3
The single-indexed exceptional Krawtchouk polynomials	3
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
Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions	3
On a discrete model of tumour–immune system interactions with blockade of immune checkpoints	2
On target-oriented control of Hénon and Lozi maps	2
Numerical approximation to the MEW equation for the single solitary wave and different types of interactions of the solitary waves	2
Some limit relationships between some two-variable finite and infinite sequences of orthogonal polynomials	2
Visibility in restricted involutions	2
Random exponential attractor for a non-autonomous Zakharov lattice system with multiplicative white noise	2
A higher-dimensional generalization of the Lozi map: bifurcations and dynamics	2
Wolbachia spread dynamics in mosquito populations in cyclic environments	2
Well-posedness and dynamics of double time-delayed lattice FitzHugh–Nagumo systems	2
A boundedness and monotonicity preserving method for a generalized population model	2
Smooth conjugacy of difference equations derived from elliptic curves	2
Controlling chaotic transients in the Hénon and the Lozi map with the safety function	2
The effects of three release strategies on Wolbachia infection frequency in mosquito populations	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
Discrete-time versus continuous-time toxic predation models	2
2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case	2
Remarks on minimal sets on dendrites and finite graphs	2
Inverse problems for Jacobi operators with mixed spectral data	2
Weighted pseudo asymptotically antiperiodic sequential solutions to semilinear difference equations	2
Convex polyominoes revisited: enumeration of outer site perimeter, interior vertices, and boundary vertices of certain degrees	2
A class of new successive permutation iterative algorithms for diffusion equation	2
Consistent discrete global dynamics of a general initial boundary value problem for hepatitis B virus infection with capsids and adaptive immunity	2
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives	2
Asymptotic behaviour of semi-canonical third-order functional difference equations	2
Memristor-based Gauss chaotic maps with hidden/self-exited dynamics	2
On the zero-multiplicity of the k-generalized Fibonacci sequence	2
A note on a positivity preserving hyperbolic NSFD scheme for heat transfer	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
Gosper summability of rational multiples of hypergeometric terms	2
A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds	2
Discrete networked dynamic systems with mode separation: state and output synchronization	2
Bifurcation analysis of a piecewise-smooth Ricker map with proportional threshold harvesting	2
Existence of positive strongly decaying solutions of second-order nonlinear q-difference equations	2
Border collision bifurcations in a piecewise linear duopoly model	2
Dynamics of q deformed Ricker map	2
Convergence and stability of meshfree method based on radial basis function for a hyperbolic partial differential equation with piecewise constant arguments	2
Dynamic game model for R&D strategy in high-tech enterprises	2
Periods of a max-type equation	2
Potential difference games and applications	2
Generic and dense distributional chaos with shadowing	2
A robust nonstandard finite difference scheme for pricing real estate index options	2