Asymptotic Behavior and Numerical Simulations for an Infection Load-Structured Epidemiological Model: Application to the Transmission of Prion Pathologies | Zendy

Antoine Perasso | Zendy; Ulrich Razafison | Zendy

Open Access

Asymptotic Behavior and Numerical Simulations for an Infection Load-Structured Epidemiological Model: Application to the Transmission of Prion Pathologies

Author(s) -

Antoine Perasso,

Ulrich Razafison

Publication year - 2014

Publication title -

siam journal on applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.954

H-Index - 99

eISSN - 1095-712X

pISSN - 0036-1399

DOI - 10.1137/130946058

Subject(s) - transmission (telecommunications) , basic reproduction number , extinction (optical mineralogy) , epidemic model , mathematics , exponential function , epidemiology , exponential growth , computer simulation , computer science , statistical physics , physics , simulation , medicine , environmental health , mathematical analysis , pathology , optics , telecommunications , population

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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