OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Difference Equations and Applications is 3. 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 2020-11-01 to 2024-11-01.)

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
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
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
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
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
On the forward dynamical behaviour of nonautonomous lattice dynamical systems	4
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
The Lorenz model in discrete time	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
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 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