Asymptotic behavior and numerical simulations for an infection load-structured epidemiological model; Application to the transmission of prion pathologies - Archive ouverte HAL Access content directly
Journal Articles SIAM Journal on Applied Mathematics Year : 2014

Asymptotic behavior and numerical simulations for an infection load-structured epidemiological model; Application to the transmission of prion pathologies

Abstract

In this article is studied an infection load-structured SI model with exponential growth of the infection, that incorporates a potential external source of contamination. We perform the analysis of the time asymptotic behavior of the solution by exhibiting epidemiological thresholds, such as the basic reproduction number, that ensure extinction or persistence of the disease in the contagion process. Moreover, a numerical scheme adapted to the model is developped and analyzed. This scheme is then used to illustrate the model with simulations, applying this last to the transmission of prion pathologies.
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Dates and versions

hal-00907819 , version 1 (22-11-2013)
hal-00907819 , version 2 (11-03-2014)

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Antoine Perasso, Ulrich Razafison. Asymptotic behavior and numerical simulations for an infection load-structured epidemiological model; Application to the transmission of prion pathologies. SIAM Journal on Applied Mathematics, 2014, 74 (5), pp.1571--1597. ⟨10.1137/130946058⟩. ⟨hal-00907819v2⟩
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