MODELING SPATIAL SPREAD OF AN EPIDEMIOLOGIC MODEL IN A SPATIALLY CONTINUOUS DOMAINReport as inadecuate




MODELING SPATIAL SPREAD OF AN EPIDEMIOLOGIC MODEL IN A SPATIALLY CONTINUOUS DOMAIN - Download this document for free, or read online. Document in PDF available to download.

1 LMAC - Laboratoire de Mathématiques Appliquées Compiegne 2 LMAH - Laboratoire de Mathématiques Appliquées du Havre

Abstract : In this paper, we study a Chikungunya epidemic transmission model which describes an epidemic disease transmitted by Aedes mosquitoes. This model includes the spatial mobility of humans which is probably a factor that has influenced the re-emergence of several diseases. Assuming that the spatial mobility of humans is random described as Brownian random motion, an original model including a reaction-diffusion system is proposed. Since the displacement of mosquitoes is limited to a few meters, compared with humans, one can ignore mosquitoes mobility. Therefore, the complete model is composed of a reaction-diffusion system coupled with ordinary differential equations ODEs. In this paper, we prove the existence and uniqueness, the positivity and boundedness of the global solution for the model and give some numerical simulations.

Keywords : Nonlinear model Epidemiologic model Chikungunya virus Ordinary differential equations Reaction- diffusion system





Author: Shousheng Zhu - Nathalie Verdiere † - David Manceau - Lilianne Denis-Vidal - Djalil Kateb -

Source: https://hal.archives-ouvertes.fr/



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