A reaction-diffusion system to better comprehend the unlockdown: Application of SEIR-type model with diffusion to the spatial spread of COVID-19 in France

Autor: Mammeri Youcef
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Computational and Mathematical Biophysics, Vol 8, Iss 1, Pp 102-113 (2020)
Druh dokumentu: article
ISSN: 2544-7297
DOI: 10.1515/cmb-2020-0104
Popis: We wondered that if a reaction-diffusion model considering only the mean daily movement of susceptible, exposed and asymptomatic individuals was enough to describe the spread of the COVID-19 virus. The model was calibrated using data on the confirmed infection and death from France as well as their initial spatial distribution. First, the system of partial differential equations is studied, then the basic reproduction number, 𝒭0 is derived. Second, numerical simulations, based on a combination of level-set and finite differences, shown the spatial spread of COVID-19 from March 16 to June 16. Finally, scenarios of unlockdown are compared according to variation of distancing, or partially spatial lockdown.
Databáze: Directory of Open Access Journals