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 2021-08-01 to 2025-08-01.)
ArticleCitations
Optimal non-pharmaceutical interventions considering limited healthcare system capacity and economic costs in the Republic of Korea78
Global Hopf Bifurcation Of a Delayed Diffusive Gause-Type Predator-Prey System with the Fear Effect and Holling Type III Functional Response68
The role of Allee effect in cannibalistic species: An action plan to sustain the declining cod population26
Effects of Age-Dependent Competition During Immature Developmental Stages on Species Population18
Nonlocal longitudinal vibration in a nanorod, a system theoretic analysis17
On the Epidemiological Evolution of Colistin-ResistantAcinetobacter Baumanniiin the City of Valencia: An Agent-Based Modelling Approach14
Qualitative analysis for a diffusive predator-prey model with hunting cooperation and holling type III functional response14
Stochastic bifurcations and tipping phenomena of insect outbreak systems driven by α-stable Lévy processes13
Traveling solutions for a multi-anticipative car-following traffic model13
On a dynamical model of happiness11
Rational choice of modelling assumptions for simulation of blood vessel end-to-side anastomosis11
Within-host evolutionary dynamics of antimicrobial quantitative resistance9
Dynamics of a stochastic population model with Allee effect and jumps9
Synthetic pulse wave dataset for analysis of vascular ageing in elderly patients9
Spatiotemporal pattern formation in a prey–predator model with generalist predator9
On nanowire morphological instability and pinch-off by surface electromigration8
Spatial organization of mediated-macrophage chemoprotective niches in solid tumors: A mathematical analysis7
Alternative stable states and disease induced extinction7
The Effect of Connecting Sites in the Environment of a Harvested Population7
Heat and mass diffusion to williamson fluid streaming through a tube with multiple stenoses while subjected to periodic body acceleration7
Spectral instability of small-amplitude periodic waves for hyperbolic non-Fickian diffusion advection models with logistic source6
The Normal Velocity of the Population Front in the “Predator–Prey” Model6
Asymptotic properties and optimal control of rainfall models involving forest-lake effects5
MMNP – Next Generation5
An overview of differential models for corrosion of cultural heritage artefacts5
Optimal control strategy to control pandemic Covid-19 using MSILIHR_V Model5
A mathematical model for coregistered data from electroencephalography and diffusive optical tomography4
A model for seagrass species competition: Dynamics of the symmetric case4
A parametric optimal control problem applied to daily irrigation4
Mathematical modelling in nonlocal Mindlin’s strain gradient thermoelasticity with voids4
Higher-order semi-rational solutions for the coupled complex modified Korteweg-de Vries equation3
S̲tochastic S̲imulation A̲lgorithm For Effective Spreading Dynamics On T̲ime-Evolving A̲daptive N̲etworX̲ (SSATAN-X)3
A biased dollar exchange model involving bank and debt with discontinuous equilibrium3
Asymptotic dynamics of SIRS epidemic model with dispersal budgets and nonlinear rates about heterogenous environments3
Generalization of the Overlapping Coefficient for k ≥ 2 Normal Distributions3
Thermodynamical Modeling of Multiphase Flow System with Surface Tension and Flow3
The interplay between evolutionary and immunological dynamics regulates virus variant emergence and competition3
Spreading speed for a time-periodic vector-borne disease system on a growing domain3
A phenotype-structured model for the tumour-immune response3
Non-Markovian modelling highlights the importance of age structure on Covid-19 epidemiological dynamics3
Hamiltonian form of an Extended Nonlinear Schrödinger Equation for Modelling the Wave field in a System with Quadratic and Cubic Nonlinearities2
A multiple timescale network model of intracellular calcium concentrations in coupled neurons: Insights from ROM simulations2
Degree-biased advection–diffusion on undirected graphs/networks2
A Mathematical Model of Marine Mucilage, the Case of the Liga on the Basque Coast2
Modelling optimal pest control of non-autonomous predator–prey interaction2
Accurate Cerebral Venous Blood Flow Simulations Compared to Real Data2
A Minimal Model Coupling Communicable and Non-Communicable Diseases2
Optimal control for a bone metastasis with radiotherapy model using a linear objective functional2
Additive multiple contacts and saturation phenomena in epidemiological models are not detected by R02
A mathematical justification for metronomic chemotherapy in oncology2
Nitric oxide transport in carotid bifurcation after different stent interventions: a numerical study2
Protein pattern formation induced by the joint effect of noise and delay in a multi-cellular system2
Q-well-posedness of an Aβ-protein polymerization model2
On the strong convergence of the Faedo-Galerkin approximations to a strong T-periodic solution of the torso-coupled bidomain model2
Non-local hyperbolic dynamics of clusters1
Structural changes of a radially symmetric thermocapillary flow in the shallow cavity partially covered by a solid film1
Branching model with state dependent offspring distribution for Chlamydia spread1
A SIQRB delayed model for cholera and optimal control treatment1
A neural network approach for optimal control of SEIQRS epidemic models1
Immuno-Epidemiological Model-Based Prediction of Further Covid-19 Epidemic Outbreaks Due to Immunity Waning1
Output trajectory controllability of a discrete-time sir epidemic model1
An analysis of the buoyancy and drag parameters in Rayleigh-Taylor dynamics1
The adiabatic exponent limits of Riemann solutions for the extended macroscopic production model1
Threshold behavior of an age-structured tumor immune model1
3D Simulation of Active thin Structures in a Viscous Fluid and Application to Mucociliary Transport1
Predator functional response in mathematical models compared to the zooplankton functional response in a lake ecosystem1
Impact of temperature change on the population dynamics of the maize pest Busseola fusca1
Mathematical modelling and optimal control of production losses caused by Miridae1
Concentration and Cavitation in the Vanishing Pressure Limit of Solutions to a 3 × 3 Generalized Chaplygin Gas Equations1
Distribution of Money on Connected Graphs with Multiple Banks1
Analysis of dynamic evolution process of the N-player division of labor game model1
Emergent properties in a V1-inspired network of Hodgkin–Huxley neurons1
Study of architectural forms of invasive carcinoma based on the measurement of pattern complexity1
Epicenter of random epidemic spanning trees on finite graphs1
Mathematical modeling of inflammatory processes of atherosclerosis1
Interaction between crowding and growth in tumours with stem cells: Conceptual mathematical modelling1
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