Branching Process for Infectious Disease Modeling
MARKOV PROCESSES AND RELATED FIELDS(2023)
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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关键词
delayed multi-type branching process,Perron-Frobenius theory,Malthu- sian parameter,infectious disease modeling
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