SIR-Type Epidemic Models as Block-Structured Markov Processes

被引：0
|
作者：
Claude Lefèvre
Matthieu Simon
机构：
[1] Université Libre de Bruxelles,Département de Mathématique, Campus Plaine C.P. 210
[2] University of Melbourne,School of Mathematics and Statistics
来源：
Methodology and Computing in Applied Probability | 2020年 / 22卷
关键词：
SIR epidemic models; Block-structured Markov processes; Matrix-analytic methods; 60J28; 60K10; 60K37;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper proposes a block-structured Markov process to describe the spread of epidemics of Susceptible-Infected-Removed (SIR) type. Our purpose is to determine the distribution of the final state of the process and of some other interesting measures of the dimension of the epidemic. The followed modeling approach proves to be simple and systematic. Its flexibility is underlined by the presentation of several specific models that extend the classical general epidemic. Finally, two numerical examples illustrate some of the results obtained.
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页码：433 / 453
页数：20
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