Mathematical Models & Methods in Applied Sciences

Papers
(The H4-Index of Mathematical Models & Methods in Applied Sciences is 17. 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.)
ArticleCitations
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision69
What is life? A perspective of the mathematical kinetic theory of active particles60
Towards a mathematical theory of behavioral human crowds51
A multilayer network model of the coevolution of the spread of a disease and competing opinions34
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination32
Global boundedness and asymptotic behavior in a quasilinear attraction–repulsion chemotaxis model with nonlinear signal production and logistic-type source31
Consensus-based optimization on hypersurfaces: Well-posedness and mean-field limit30
From particle swarm optimization to consensus based optimization: Stochastic modeling and mean-field limit26
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth25
Hyperbolic compartmental models for epidemic spread on networks with uncertain data: Application to the emergence of COVID-19 in Italy25
Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka–Volterra competitive kinetics25
Human behavioral crowds review, critical analysis and research perspectives24
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations23
A data-driven epidemic model with social structure for understanding the COVID-19 infection on a heavily affected Italian province20
On fully decoupled MSAV schemes for the Cahn–Hilliard–Navier–Stokes model of two-phase incompressible flows19
Control of COVID-19 outbreak using an extended SEIR model18
Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: From subcellular dynamics to macroscopic PDEs with multiple taxis17
A kinetic theory approach for 2D crowd dynamics with emotional contagion17
Disease contagion models coupled to crowd motion and mesh-free simulation17
Boundary layer mesh resolution in flow computation with the Space–Time Variational Multiscale method and isogeometric discretization17
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