Mathematical Modelling of Natural Phenomena

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 2020-03-01 to 2024-03-01.)
ArticleCitations
Scientific Breakdown of a Ferromagnetic Nanofluid in Hemodynamics: Enhanced Therapeutic Approach55
On behavioral response of ciliated cervical canal on the development of electroosmotic forces in spermatic fluid49
New exact traveling wave solutions to the (2+1)-dimensional Chiral nonlinear Schrödinger equation42
On numerical approximation of Atangana-Baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert Space30
A review of fluid instabilities and control strategies with applications in microgravity24
Mathematical modeling of inflammatory processes of atherosclerosis14
A generalized kinetic model of the advection-dispersion process in a sorbing medium13
Analytical detection of stationary turing pattern in a predator-prey system with generalist predator13
Travelling waves solution for fractional-order biological population model12
Immuno-Epidemiological Model-Based Prediction of Further Covid-19 Epidemic Outbreaks Due to Immunity Waning11
New aspects of fractional Bloch model associated with composite fractional derivative11
Initial value problem for fractional Volterra integrodifferential pseudo-parabolic equations10
Stability of neutral delay differential equations with applications in a model of human balancing10
Control of fingering instability by vibrations9
Non-Markovian modelling highlights the importance of age structure on Covid-19 epidemiological dynamics8
Qualitative analysis and optimal control of an SIR model with logistic growth, non-monotonic incidence and saturated treatment8
On well-posedness associated with a class of controlled variational inequalities8
Mathematical modeling of Aphron drilling nanofluid driven by electroosmotically modulated peristalsis through a pipe8
Spatiotemporal dynamics of a fractional model for hepatitis B virus infection with cellular immunity6
Optimal multiplicative control of bacterial quorum sensing under external enzyme impact6
Homogenization of a microscopic pedestrians model on a convergent junction6
Nonlocal symmetry and interaction solutions for the new (3+1)-dimensional integrable Boussinesq equation6
Bifurcation control of a minimal model of marine plankton interaction with multiple delays5
Chimeras on a social-type network5
A mathematical assessment of the efficiency of quarantining and contact tracing in curbing the COVID-19 epidemic5
Modelling coffee leaf rust dynamics to control its spread5
Threshold dynamics for a class of stochastic SIRS epidemic models with nonlinear incidence and Markovian switching5
A new approach to the dynamic modeling of an infectious disease5
Hopf bifurcation for an SIR model with age structure5
A theoretical investigation of the frisbee motion of red blood cells in shear flow5
Reproduction number for an age of infection structured model5
SIARD model and effect of lockdown on the dynamics of COVID-19 disease with non total immunity5
Controllability of Delayed Discret Fornasini-Marchesini Model via Quantization and Random Packet Dropouts4
Non-constant positive solutions of a general Gause-type predator-prey system with self- and cross-diffusions4
A cellular automaton model for a pedestrian flow problem4
A SIQRB delayed model for cholera and optimal control treatment4
Spatiotemporal pattern formation in a prey–predator model with generalist predator4
Mixing control in a continuous-flow microreactor using electro-osmotic flow4
On the initial value problem for fractional Volterra integrodifferential equations with a Caputo–Fabrizio derivative4
Stochastic bifurcations and tipping phenomena of insect outbreak systems driven by α-stable Lévy processes4
Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition3
Hamiltonian form of an Extended Nonlinear Schrödinger Equation for Modelling the Wave field in a System with Quadratic and Cubic Nonlinearities3
A multiple timescale network model of intracellular calcium concentrations in coupled neurons: Insights from ROM simulations3
Controlling of longwave oscillatory Marangoni patterns on a rhombic lattice3
Spectral instability of small-amplitude periodic waves for hyperbolic non-Fickian diffusion advection models with logistic source3
Exact Insurance Premiums for Cyber Risk of Small and Medium-Sized Enterprises3
Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data3
Effects of heterogeneity and global dynamics of weakly connected subpopulations2
A partitioned numerical scheme for fluid–structure interaction with slip2
Wave blocking in a bistable system by local introduction of a population: application to sterile insect techniques on mosquito populations2
Protein pattern formation induced by the joint effect of noise and delay in a multi-cellular system2
A computational study of transmission dynamics for dengue fever with a fractional approach2
Dynamics of a Vector-Borne model with direct transmission and age of infection2
Corrigendum: New numerical approach for fractional differential equations2
A stability theorem for equilibria of delay differential equations in a critical case with application to a model of cell evolution2
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 Delt2
Comparison of dynamical behavior between fractional order delayed and discrete conformable fractional order tumor-immune system2
Investigation of COVID-19 mathematical model under fractional order derivative2
Three-dimensional phase field model for actin-based cell membrane dynamics2
Rational choice of modelling assumptions for simulation of blood vessel end-to-side anastomosis2
Decay in full von Kármán beam with temperature and microtemperatures effects2
Design optimisation of labyrinth seals using LES2
The adiabatic exponent limits of Riemann solutions for the extended macroscopic production model2
Analysis of phase waves in the ECoG data2
Parallel time-stepping for fluid–structure interactions2
On a dynamical model of happiness2
Owner-Intruder contests with information asymmetry1
The Effect of Connecting Sites in the Environment of a Harvested Population1
Memory effects on the proliferative function in the cycle-specific of chemotherapy1
An extremal problem with applications to renewable energy production1
The Effect of Composite Material on Rayleigh Wave at Free Surface of Composite Matrix Saturated by Fluids1
Fair insurance premium rate in connected SEIR model under epidemic outbreak1
Nonlocal longitudinal vibration in a nanorod, a system theoretic analysis1
Efficient Uncertainty Quantification and Variance-Based Sensitivity Analysis in Epidemic Modelling Using Polynomial Chaos1
Study of architectural forms of invasive carcinoma based on the measurement of pattern complexity1
Effect of charge modulation on the electroconvective flow of a low conducting liquid1
Nonlinear stability analysis of a spinning top with an interior liquid-filled cavity1
S̲tochastic S̲imulation A̲lgorithm For Effective Spreading Dynamics On T̲ime-Evolving A̲daptive N̲etworX̲ (SSATAN-X)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 solutions1
Modelling of hillslope storage under temporally varied rainfall recharge1
Traveling waves for reaction-diffusion PDE coupled to difference equation with nonlocal dispersal term and time delay1
Editorial1
Concentration and Cavitation in the Vanishing Pressure Limit of Solutions to a 3 × 3 Generalized Chaplygin Gas Equations1
Interaction of high-order breather, periodic wave, lump, rational soliton solutions and mixed solutions for reductions of the (4+1)-dimensional Fokas equation1
Within-host evolutionary dynamics of antimicrobial quantitative resistance1
Adaptation of an asexual population with environmental changes1
Traveling solutions for a multi-anticipative car-following traffic model1
Invariant measure of stochastic higher order KdV equation driven by Poisson processes1
Mathematical modelling of the effects of statins on the growth of necrotic core in atherosclerotic plaque1
Optimal control for a bone metastasis with radiotherapy model using a linear objective functional1
Degree-biased advection–diffusion on undirected graphs/networks1
The Normal Velocity of the Population Front in the “Predator–Prey” Model1
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