Mathematical Models & Methods in Applied Sciences

Papers
(The H4-Index of Mathematical Models & Methods in Applied Sciences is 20. 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
A multiscale model of virus pandemic: Heterogeneous interactive entities in a globally connected world103
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision55
What is life? A perspective of the mathematical kinetic theory of active particles48
Coupling kinetic theory approaches for pedestrian dynamics and disease contagion in a confined environment43
The Stokes complex for Virtual Elements in three dimensions41
Towards a mathematical theory of behavioral human crowds39
Convergence of a first-order consensus-based global optimization algorithm29
On a SAV-MAC scheme for the Cahn–Hilliard–Navier–Stokes phase-field model and its error analysis for the corresponding Cahn–Hilliard–Stokes case27
Global boundedness and asymptotic behavior in a quasilinear attraction–repulsion chemotaxis model with nonlinear signal production and logistic-type source27
Global bounded solution of the higher-dimensional forager–exploiter model with/without growth sources26
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination26
Consensus-based optimization on hypersurfaces: Well-posedness and mean-field limit26
A multilayer network model of the coevolution of the spread of a disease and competing opinions26
Instability of the abstract Rayleigh–Taylor problem and applications24
A phase-field-based graded-material topology optimization with stress constraint24
Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka–Volterra competitive kinetics23
Hyperbolic compartmental models for epidemic spread on networks with uncertain data: Application to the emergence of COVID-19 in Italy23
Polynomial preserving virtual elements with curved edges22
Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties21
Element-splitting-invariant local-length-scale calculation in B-Spline meshes for complex geometries21
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth20
Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects20
From particle swarm optimization to consensus based optimization: Stochastic modeling and mean-field limit20
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