Individual-Based Model (ibm): an alternative framework for epidemiological compartment models

dc.creatorErivelton Geraldo Nepomuceno
dc.creatorRicardo Hiroshi Caldeira Takahashi
dc.creatorLuis Antonio Aguirre
dc.date.accessioned2025-03-24T16:11:38Z
dc.date.accessioned2025-09-08T23:50:26Z
dc.date.available2025-03-24T16:11:38Z
dc.date.issued2016
dc.identifier.issn1983-0823
dc.identifier.urihttps://hdl.handle.net/1843/80862
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.rightsAcesso Aberto
dc.subjectProbabilidades
dc.subjectTeoria das medidas
dc.subjectProcesso estocástico
dc.subject.otherIndividual-Based model; mathematical epidemiology; stochastic fluctuations, epidemiological compartment models.
dc.titleIndividual-Based Model (ibm): an alternative framework for epidemiological compartment models
dc.typeArtigo de periódico
local.citation.epage162
local.citation.issue1
local.citation.spage133
local.citation.volume34
local.description.resumoA traditional approach to model infectious diseases is to use compartment models based on di erential equations, such as the SIR (Susceptible-Infected-Recovered) model. These models explain average behavior, but are inadequate to account for stochastic uctuations of epidemiological variables. An alternative approach is to use Individual-Based Model (IBM), that represent each individual as a set of features that change dynamically over time. This allows modeling population phenomena as aggregates of individual interactions. This paper presents a general framework to model epidemiological systems using IBM as an alternative to replace or complement epidemiological compartment models. The proposed modeling approach is shown to allow the study of some phenomena which are related to nite-population demographic stochastic uctuation. In particular, a procedure for the computation of the probability of disease eradication within a time horizon in the case of systems which have mean- eld endemic equilibrium is presented as a direct application of the proposed approach. It is shown, how this general framework may be described as an algorithm suitable to model di erent types of compartment models. Numerical simulations illustrate how this approach may provide greater insight about a great variety of epidemiological systems.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG

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