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.
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页数：110
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