ASYMPTOTIC BEHAVIOR AND NUMERICAL SIMULATIONS FOR AN INFECTION LOAD-STRUCTURED EPIDEMIOLOGICAL MODEL: APPLICATION TO THE TRANSMISSION OF PRION PATHOLOGIES

被引：9

作者：

Perasso, Antoine ^{[1
]}

Razafison, Ulrich ^{[2
]}

机构：

[1] Univ Franche Comte, Chronoenvironm UMR6249, F-25030 Besancon, France

[2] Univ Franche Comte, Lab Math Besancon, UMR 6623, F-25030 Besancon, France

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2014年 / 74卷 / 05期

关键词：

structured population dynamics; epidemic models; transport equations; nonlinear PDE; stability analysis; finite volume method; DISEASE PERSISTENCE; MATHEMATICAL-THEORY; DYNAMICS; AGE; SCRAPIE; THRESHOLDS;

D O I：

10.1137/130946058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article studies 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 developed and analyzed. This scheme is then used to illustrate the model with numerical simulations, applying this last to the transmission of prion pathologies.

引用

页码：1571 / 1597

页数：27

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