Social Pressure from a Core Group can Cause Self-Sustained Oscillations in an Epidemic Model

dc.contributor.authorBaccili A.P.
dc.contributor.authorMonteiro L.H.A.
dc.date.accessioned2024-03-12T19:08:54Z
dc.date.available2024-03-12T19:08:54Z
dc.date.issued2023
dc.description.abstract© 2023, Prof. Dr. Jan van der Hoeven stichting voor theoretische biologie.Let the individuals of a population be divided into two groups with different personal habits. The core group is associated with health risk behaviors; the non-core group avoids unhealthy activities. Assume that the infected individuals of the core group can spread a contagious disease to the whole population. Also, assume that cure does not confer immunity. Here, an epidemiological model written as a set of ordinary differential equations is proposed to investigate the infection propagation in this population. In the model, migrations between these two groups are allowed; however, the transitions from the non-core group into the core group prevail. These migrations can be either spontaneous or stimulated by social pressure. It is analytically shown that, in the scenario of spontaneous migration, the disease is either naturally eradicated or chronically persists at a constant level. In the scenario of stimulated migration, in addition to eradication and constant persistence, self-sustained oscillations in the number of sick individuals can also be found. These analytical results are illustrated by numerical simulations and discussed from a public health perspective.
dc.description.issuenumber3
dc.description.volume71
dc.identifier.doi10.1007/s10441-023-09469-3
dc.identifier.issn1572-8358
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/34040
dc.relation.ispartofActa Biotheoretica
dc.rightsAcesso Restrito
dc.subject.otherlanguageCore group
dc.subject.otherlanguageDynamical system
dc.subject.otherlanguageEpidemic model
dc.subject.otherlanguageHopf bifurcation
dc.subject.otherlanguageSocial pressure
dc.subject.otherlanguageTranscritical bifurcation
dc.titleSocial Pressure from a Core Group can Cause Self-Sustained Oscillations in an Epidemic Model
dc.typeArtigo
local.scopus.citations2
local.scopus.eid2-s2.0-85162846308
local.scopus.subjectAnimals
local.scopus.subjectEpidemics
local.scopus.subjectEpidemiological Models
local.scopus.subjectModels, Biological
local.scopus.subjectPublic Health
local.scopus.updated2024-06-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85162846308&origin=inward
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