OOIR: Observatory of International Research

Papers

(The median citation count of Mathematical Modelling of Natural Phenomena is 1. 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
Scientific Breakdown of a Ferromagnetic Nanofluid in Hemodynamics: Enhanced Therapeutic Approach	68
On behavioral response of ciliated cervical canal on the development of electroosmotic forces in spermatic fluid	64
New exact traveling wave solutions to the (2+1)-dimensional Chiral nonlinear Schrödinger equation	47
On numerical approximation of Atangana-Baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert Space	32
A review of fluid instabilities and control strategies with applications in microgravity	27
Travelling waves solution for fractional-order biological population model	23
Mathematical modeling of inflammatory processes of atherosclerosis	16
A generalized kinetic model of the advection-dispersion process in a sorbing medium	15
Immuno-Epidemiological Model-Based Prediction of Further Covid-19 Epidemic Outbreaks Due to Immunity Waning	14
New aspects of fractional Bloch model associated with composite fractional derivative	14
Analytical detection of stationary turing pattern in a predator-prey system with generalist predator	14
Controllability of Delayed Discret Fornasini-Marchesini Model via Quantization and Random Packet Dropouts	13
Stability of neutral delay differential equations with applications in a model of human balancing	12
Control of fingering instability by vibrations	10
Non-Markovian modelling highlights the importance of age structure on Covid-19 epidemiological dynamics	10
Qualitative analysis and optimal control of an SIR model with logistic growth, non-monotonic incidence and saturated treatment	10
Mathematical modeling of Aphron drilling nanofluid driven by electroosmotically modulated peristalsis through a pipe	9
Initial value problem for fractional Volterra integrodifferential pseudo-parabolic equations	9
Stochastic bifurcations and tipping phenomena of insect outbreak systems driven by α-stable Lévy processes	9
Nonlocal symmetry and interaction solutions for the new (3+1)-dimensional integrable Boussinesq equation	8
On well-posedness associated with a class of controlled variational inequalities	8
Spatiotemporal pattern formation in a prey–predator model with generalist predator	7
Reproduction number for an age of infection structured model	7
Homogenization of a microscopic pedestrians model on a convergent junction	7
Exact Insurance Premiums for Cyber Risk of Small and Medium-Sized Enterprises	7

Threshold dynamics for a class of stochastic SIRS epidemic models with nonlinear incidence and Markovian switching	7
Optimal multiplicative control of bacterial quorum sensing under external enzyme impact	6
Bifurcation control of a minimal model of marine plankton interaction with multiple delays	6
SIARD model and effect of lockdown on the dynamics of COVID-19 disease with non total immunity	6
Spatiotemporal dynamics of a fractional model for hepatitis B virus infection with cellular immunity	6
Chimeras on a social-type network	6
A cellular automaton model for a pedestrian flow problem	6
A new approach to the dynamic modeling of an infectious disease	5
Modelling coffee leaf rust dynamics to control its spread	5
A theoretical investigation of the frisbee motion of red blood cells in shear flow	5
A SIQRB delayed model for cholera and optimal control treatment	5
Wave blocking in a bistable system by local introduction of a population: application to sterile insect techniques on mosquito populations	5
A mathematical assessment of the efficiency of quarantining and contact tracing in curbing the COVID-19 epidemic	5
Hopf bifurcation for an SIR model with age structure	5
Spectral instability of small-amplitude periodic waves for hyperbolic non-Fickian diffusion advection models with logistic source	4
Non-constant positive solutions of a general Gause-type predator-prey system with self- and cross-diffusions	4
Mixing control in a continuous-flow microreactor using electro-osmotic flow	4
A multiple timescale network model of intracellular calcium concentrations in coupled neurons: Insights from ROM simulations	4
Complex Kraenkel-Manna-Merle system in a ferrite: N-fold Darboux transformation, generalized Darboux transformation and solitons	4
Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition	4
Corrigendum: New numerical approach for fractional differential equations	4
Dynamics of a Vector-Borne model with direct transmission and age of infection	3
Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data	3
Quantifying the Effects of Non-Pharmaceutical and Pharmaceutical Interventions Against Covid-19 Epidemic in the Republic of Korea: Mathematical Model-Based Approach Considering Age Groups and the Delt	3
Protein pattern formation induced by the joint effect of noise and delay in a multi-cellular system	3
Study of architectural forms of invasive carcinoma based on the measurement of pattern complexity	3
On the initial value problem for fractional Volterra integrodifferential equations with a Caputo–Fabrizio derivative	3
Controlling of longwave oscillatory Marangoni patterns on a rhombic lattice	3
Traveling waves for reaction-diffusion PDE coupled to difference equation with nonlocal dispersal term and time delay	3
An overview of differential models for corrosion of cultural heritage artefacts	3
Hamiltonian form of an Extended Nonlinear Schrödinger Equation for Modelling the Wave field in a System with Quadratic and Cubic Nonlinearities	3
Within-host evolutionary dynamics of antimicrobial quantitative resistance	3
A partitioned numerical scheme for fluid–structure interaction with slip	3
Comparison of dynamical behavior between fractional order delayed and discrete conformable fractional order tumor-immune system	3
A control strategy for the sterile insect technique using exponentially decreasing releases to avoid the hair-trigger effect	3
Analysis of phase waves in the ECoG data	2
Three-dimensional phase field model for actin-based cell membrane dynamics	2
On a dynamical model of happiness	2
Effects of heterogeneity and global dynamics of weakly connected subpopulations	2
Fair insurance premium rate in connected SEIR model under epidemic outbreak	2
Investigation of COVID-19 mathematical model under fractional order derivative	2
Parallel time-stepping for fluid–structure interactions	2
Decay in full von Kármán beam with temperature and microtemperatures effects	2
Optimal control for a bone metastasis with radiotherapy model using a linear objective functional	2
Modelling of hillslope storage under temporally varied rainfall recharge	2
A computational study of transmission dynamics for dengue fever with a fractional approach	2
Rational choice of modelling assumptions for simulation of blood vessel end-to-side anastomosis	2
A stability theorem for equilibria of delay differential equations in a critical case with application to a model of cell evolution	2
Mathematical modelling of the effects of statins on the growth of necrotic core in atherosclerotic plaque	2
The adiabatic exponent limits of Riemann solutions for the extended macroscopic production model	2

Self-propelled motion of a rigid body inside a density dependent incompressible fluid	1
Dynamics of a stochastic population model with Allee effect and jumps	1
Traveling solutions for a multi-anticipative car-following traffic model	1
S̲tochastic S̲imulation A̲lgorithm For Effective Spreading Dynamics On T̲ime-Evolving A̲daptive N̲etworX̲ (SSATAN-X)	1
Mathematical modelling in nonlocal Mindlin’s strain gradient thermoelasticity with voids	1
Degree-biased advection–diffusion on undirected graphs/networks	1
The Normal Velocity of the Population Front in the “Predator–Prey” Model	1
Concentration and Cavitation in the Vanishing Pressure Limit of Solutions to a 3 × 3 Generalized Chaplygin Gas Equations	1
Interaction of high-order breather, periodic wave, lump, rational soliton solutions and mixed solutions for reductions of the (4+1)-dimensional Fokas equation	1
Output trajectory controllability of a discrete-time sir epidemic model	1
Pressure boundary conditions for viscous flows in thin tube structures: Stokes equations with locally distributed Brinkman term	1
Design optimisation of labyrinth seals using LES	1
Adaptation of an asexual population with environmental changes	1
Emergent properties in a V1-inspired network of Hodgkin–Huxley neurons	1
(3+1)-Dimensional Gardner Equation Deformed from (1+1)-Dimensional Gardner Equation and its Conservation Laws	1
Invariant measure of stochastic higher order KdV equation driven by Poisson processes	1
A numerical 3D fluid-structure interaction model for blood flow in a MRI-based atherosclerotic artery	1
Efficient Uncertainty Quantification and Variance-Based Sensitivity Analysis in Epidemic Modelling Using Polynomial Chaos	1
Interaction between crowding and growth in tumours with stem cells: Conceptual mathematical modelling	1
Thermodynamical Modeling of Multiphase Flow System with Surface Tension and Flow	1
Modelling optimal pest control of non-autonomous predator–prey interaction	1
An analysis of the buoyancy and drag parameters in Rayleigh-Taylor dynamics	1
An extremal problem with applications to renewable energy production	1
Memory effects on the proliferative function in the cycle-specific of chemotherapy	1
The Effect of Composite Material on Rayleigh Wave at Free Surface of Composite Matrix Saturated by Fluids	1
Nonlinear stability analysis of a spinning top with an interior liquid-filled cavity	1
Models of recrystallization activated by a diffusion flow of impurities from a thin-film coating with a convection term at the crystal surface: exact solutions	1
Nonlocal longitudinal vibration in a nanorod, a system theoretic analysis	1
Qualitative analysis for a diffusive predator-prey model with hunting cooperation and holling type III functional response	1
Riemann problem with delta initial data for the two-dimensional steady pressureless isentropic relativistic Euler equations	1
Editorial	1
Owner-Intruder contests with information asymmetry	1
Heat and mass diffusion to williamson fluid streaming through a tube with multiple stenoses while subjected to periodic body acceleration	1
The Effect of Connecting Sites in the Environment of a Harvested Population	1
Effect of charge modulation on the electroconvective flow of a low conducting liquid	1