Branching Process for Infectious Disease Modeling

被引：0

作者：

Hart, Andrew ^{[1
]}

Martinez, Servet ^{[1
]}

机构：

[1] Univ Chile, Ctr Math Modeling, Fac Ciencias Fis & Matemat, CNRS,UCHILE,IRL 2807, Santiago, Chile

来源：

MARKOV PROCESSES AND RELATED FIELDS | 2023年 / 29卷 / 05期

关键词：

delayed multi-type branching process; Perron-Frobenius theory; Malthu- sian parameter; infectious disease modeling;

D O I：

10.61102/1024-2953-mprf.2023.29.5.004

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We study a model for the spread of an infectious disease which incorporates spatial and temporal effects. The model is a delayed multi-type branching process in which types represent geographic regions while infected individuals reproduce offspring during a finite time interval and have convalescence times and random death/recovery outcomes. We give simple expressions for the limit of the geometrically weighted mean evolution of the process.

引用

页数：110

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