Cumulative damage for multi-type epidemics and an application to infectious diseases.
J Math Biol
; 86(3): 47, 2023 02 16.
Article
in English
| MEDLINE | ID: covidwho-2259140
ABSTRACT
A continuous time multivariate stochastic model is proposed for assessing the damage of a multi-type epidemic cause to a population as it unfolds. The instants when cases occur and the magnitude of their injure are random. Thus, we define a cumulative damage based on counting processes and a multivariate mark process. For a large population we approximate the behavior of this damage process by its asymptotic distribution. Also, we analyze the distribution of the stopping times when the numbers of cases caused by the epidemic attain levels beyond certain thresholds. We focus on introducing some tools for statistical inference on the parameters related with the epidemic. In this regard, we present a general hypothesis test for homogeneity in epidemics and apply it to data of Covid-19 in Chile.
Keywords
Full text:
Available
Collection:
International databases
Database:
MEDLINE
Main subject:
Communicable Diseases
/
Epidemics
/
COVID-19
Type of study:
Observational study
/
Randomized controlled trials
Limits:
Humans
Language:
English
Journal:
J Math Biol
Year:
2023
Document Type:
Article
Affiliation country:
S00285-023-01880-1
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