Macroscopic limit of a Fokker-Planck model of swarming rigid bodies
We consider self-propelled rigid bodies interacting through local body-attitude alignment modelled by stochastic differential equations. We derive a hydrodynamic model of this system at large spatio-temporal scales and particle numbers in any dimension
Pierre Degond, Amic Frouvelle
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Cahn–Hilliard equations with singular potential, reaction term and pure phase initial datum
We consider local and nonlocal Cahn–Hilliard equations with constant mobility and singular potentials including, e.g., the Flory–Huggins potential, subject to no-flux (or periodic) boundary conditions.
Maurizio Grasselli+2 more
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Global Dynamics of a Diffusive Two-Strain Epidemic Model with Non-Monotone Incidence Rate. [PDF]
Khatua A, Pal D, Kar TK.
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Dynamics and calculation of the basic reproduction number for a nonlocal dispersal epidemic model with air pollution. [PDF]
Zhou Q, Xu X, Zhang Q.
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The role of A β and Tau proteins in Alzheimer's disease: a mathematical model on graphs. [PDF]
Bertsch M, Franchi B, Tesi MC, Tora V.
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Stochastic differential equation modelling of cancer cell migration and tissue invasion. [PDF]
Katsaounis D+2 more
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From individual-based epidemic models to McKendrick-von Foerster PDEs: a guide to modeling and inferring COVID-19 dynamics. [PDF]
Foutel-Rodier F+11 more
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A Bayesian finite-element trained machine learning approach for predicting post-burn contraction. [PDF]
Egberts G+3 more
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Kinetic models for epidemic dynamics with social heterogeneity. [PDF]
Dimarco G+3 more
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Kinetic Models for Epidemic Dynamics in the Presence of Opinion Polarization. [PDF]
Zanella M.
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