A Simple Finite Delayed Multi-type Branching Process for Infectious Disease Modeling
A. Hart, S. Martinez
2023, v.29, Issue 5, 683-694
ABSTRACT
We study a model for the spread of an infectious disease which
incorporates spatial and temporal e ects. The model is a delayed multi-type
branching process in which types represent geographic regions while infected
individuals reproduce o spring during a nite time interval and have convales-
cence times and random death/recovery outcomes. We give simple expressions
for the limit of the geometrically weighted mean evolution of the process.
doi:10.61102/1024-2953-mprf.2023.29.5.004
Keywords: delayed multi-type branching process; Perron-Frobenius theory; Malthu- sian parameter; infectious disease modeling
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