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 2021-04-01 to 2025-04-01.)
ArticleCitations
On the dynamics of rotating rigid tube and its interaction with air78
How do cell crowding and starvation affect avascular tumor growth of the EMT6/Ro tumor?65
A mathematical model for coregistered data from electroencephalography and diffusive optical tomography20
Lévy flights, optimal foraging strategies, and foragers with a finite lifespan16
Non-Local Hyperbolic Dynamics of Clusters15
Optimal non-pharmaceutical interventions considering limited healthcare system capacity and economic costs in the Republic of Korea14
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 Delt11
Homogenization of a microscopic pedestrians model on a convergent junction11
Distribution of Money on Connected Graphs with Multiple Banks11
A fractional diffusion model of CD8+T cells response to parasitic infection in the brain10
A Mathematical Model of Marine Mucilage, the Case of the Liga on the Basque Coast9
Traveling waves for reaction-diffusion PDE coupled to difference equation with nonlocal dispersal term and time delay9
Optimal control for a bone metastasis with radiotherapy model using a linear objective functional7
Modelling of hillslope storage under temporally varied rainfall recharge7
Global Hopf Bifurcation Of a Delayed Diffusive Gause-Type Predator-Prey System with the Fear Effect and Holling Type III Functional Response7
The adiabatic exponent limits of Riemann solutions for the extended macroscopic production model6
Mathematical modelling of the effects of statins on the growth of necrotic core in atherosclerotic plaque6
Qualitative analysis for a diffusive predator-prey model with hunting cooperation and holling type III functional response6
Epicenter of random epidemic spanning trees on finite graphs5
(3+1)-Dimensional Gardner Equation Deformed from (1+1)-Dimensional Gardner Equation and its Conservation Laws5
Mathematical modeling of leukemia chemotherapy in bone marrow4
The role of Allee effect in cannibalistic species: An action plan to sustain the declining cod population4
Wave blocking in a bistable system by local introduction of a population: application to sterile insect techniques on mosquito populations4
Q-well-posedness of an Aβ-protein polymerization model4
Hypoxia-resistance heterogeneity in tumours: the impact of geometrical characterization of environmental niches and evolutionary trade-offs. A mathematical approach4
A parametric optimal control problem applied to daily irrigation4
Mathematical modelling in nonlocal Mindlin’s strain gradient thermoelasticity with voids4
Structural changes of a radially symmetric thermocapillary flow in the shallow cavity partially covered by a solid film3
Analytical detection of stationary turing pattern in a predator-prey system with generalist predator3
Generalization of the Overlapping Coefficient for k>=2 Normal Distributions3
Mathematical modeling of Aphron drilling nanofluid driven by electroosmotically modulated peristalsis through a pipe3
S̲tochastic S̲imulation A̲lgorithm For Effective Spreading Dynamics On T̲ime-Evolving A̲daptive N̲etworX̲ (SSATAN-X)3
Nonlocal longitudinal vibration in a nanorod, a system theoretic analysis3
The Effect of Composite Material on Rayleigh Wave at Free Surface of Composite Matrix Saturated by Fluids3
Data – driven neuronal dynamics: Model identification and spiking analysis2
Models of recrystallization activated by a diffusion flow of impurities from a thin-film coating with a convection term at the crystal surface: exact solutions2
On the Epidemiological Evolution of Colistin-ResistantAcinetobacter Baumanniiin the City of Valencia: An Agent-Based Modelling Approach2
Traveling solutions for a multi-anticipative car-following traffic model2
Comparison of two approaches for solving a fuzzy system describing the degradation kinetics of pesticides in plant uptake models2
Analysis of dynamic evolution process of the N-player division of labor game model2
A hydrodynamic model for the hydraulic jump and internal wave generation over a bottom topography, the case of the San Esteban sill in the Gulf of California2
Influence of the age structure on the stability in a tumor-immune model for chronic myeloid leukemia2
Threshold behavior of an age-structured tumor immune model2
Emergent properties in a V1-inspired network of Hodgkin–Huxley neurons2
Higher-order semi-rational solutions for the coupled complex modified Korteweg-de Vries equation2
The interplay between evolutionary and immunological dynamics regulates virus variant emergence and competition2
Decay in full von Kármán beam with temperature and microtemperatures effects1
Complex Kraenkel-Manna-Merle system in a ferrite: N-fold Darboux transformation, generalized Darboux transformation and solitons1
Patient-specific input data for predictive modelling of the Fontan procedure1
Spatiotemporal pattern formation in a prey–predator model with generalist predator1
A biased dollar exchange model involving bank and debt with discontinuous equilibrium1
A phenotype-structured model for the tumour-immune response1
Adaptation of an asexual population with environmental changes1
Stochastic bifurcations and tipping phenomena of insect outbreak systems driven by α-stable Lévy processes1
Pressure boundary conditions for viscous flows in thin tube structures: Stokes equations with locally distributed Brinkman term1
Synthetic pulse wave dataset for analysis of vascular ageing in elderly patients1
Rational choice of modelling assumptions for simulation of blood vessel end-to-side anastomosis1
Publisher’s Note1
Spreading speed for a time-periodic vector-borne disease system on a growing domain p, li { white-space: pre-wrap; }1
Dynamics of a stochastic population model with Allee effect and jumps1
Mathematical modelling of proton migration in Earth mantle1
Non-Markovian modelling highlights the importance of age structure on Covid-19 epidemiological dynamics1
Branching model with state dependent offspring distribution for Chlamydia spread1
Within-host evolutionary dynamics of antimicrobial quantitative resistance1
Nonlocal symmetry and interaction solutions for the new (3+1)-dimensional integrable Boussinesq equation1
Forecast analysis and sliding mode control on a stochastic epidemic model with alertness and vaccination1
Optimal ordering strategy and budget allocation for the Covid-19 vaccination planning1
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