39 citations · 61 across the 9 of their papers we have counts for
4 papers · 1 filter
Chemotaxis-inspired PDE models of airborne infectious disease transmission: epidemiologically-motivated mathematical and numerical analyses
Alex Viguerie, Malú Grave, Alvaro L. G. A. Coutinho +2
Partial differential equation (PDE) models for infectious diseases, while less common than their ordinary differential equation (ODE) counterparts, have found successful applicatio…
Modeling nonlocal behavior in epidemics via a reaction-diffusion system incorporating population movement along a network
Malú Grave, Alex Viguerie, Gabriel F. Barros +3
The outbreak of COVID-19, beginning in 2019 and continuing through the time of writing, has led to renewed interest in the mathematical modeling of infectious disease. Recent works…
Assessing the spatio-temporal spread of COVID-19 via compartmental models with diffusion in Italy, USA, and Brazil
Malú Grave, Alex Viguerie, Gabriel F. Barros +2
The outbreak of COVID-19 in 2020 has led to a surge in interest in the mathematical modeling of infectious diseases. Such models are usually defined as compartmental models, in whi…
Adaptive Mesh Refinement and Coarsening for Diffusion-Reaction Epidemiological Models
Malú Grave, Alvaro L. G. A. Coutinho
The outbreak of COVID-19 in 2020 has led to a surge in the interest in the mathematical modeling of infectious diseases. Disease transmission may be modeled as compartmental models…