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Article: On a class of nonlocal SIR models

TitleOn a class of nonlocal SIR models
Authors
KeywordsAnalytical solution
Peak solution
Susceptible–infected–recovered model
Issue Date2019
Citation
Journal of Mathematical Biology, 2019, v. 78, n. 6, p. 1581-1604 How to Cite?
AbstractWe revisit the classic susceptible–infected–recovered (SIR) epidemic model and one of its recently developed nonlocal variations. We introduce several new approaches to derive exact analytical solutions in the classical situation and analyze the corresponding effective approximations in the nonlocal setting. An interesting new feature of the nonlocal models, compared with the classic SIR model, is the appearance of multiple peak solutions for the infected population. We provide several rigorous results on the existence and non-existence of peak solutions with sharp asymptotics.
Persistent Identifierhttp://hdl.handle.net/10722/327217
ISSN
2023 Impact Factor: 2.2
2023 SCImago Journal Rankings: 0.779
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorGuan, Li-
dc.contributor.authorLi, Dong-
dc.contributor.authorWang, Ke-
dc.contributor.authorZhao, Kun-
dc.date.accessioned2023-03-31T05:29:47Z-
dc.date.available2023-03-31T05:29:47Z-
dc.date.issued2019-
dc.identifier.citationJournal of Mathematical Biology, 2019, v. 78, n. 6, p. 1581-1604-
dc.identifier.issn0303-6812-
dc.identifier.urihttp://hdl.handle.net/10722/327217-
dc.description.abstractWe revisit the classic susceptible–infected–recovered (SIR) epidemic model and one of its recently developed nonlocal variations. We introduce several new approaches to derive exact analytical solutions in the classical situation and analyze the corresponding effective approximations in the nonlocal setting. An interesting new feature of the nonlocal models, compared with the classic SIR model, is the appearance of multiple peak solutions for the infected population. We provide several rigorous results on the existence and non-existence of peak solutions with sharp asymptotics.-
dc.languageeng-
dc.relation.ispartofJournal of Mathematical Biology-
dc.subjectAnalytical solution-
dc.subjectPeak solution-
dc.subjectSusceptible–infected–recovered model-
dc.titleOn a class of nonlocal SIR models-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s00285-018-1320-0-
dc.identifier.pmid30603991-
dc.identifier.scopuseid_2-s2.0-85059460195-
dc.identifier.volume78-
dc.identifier.issue6-
dc.identifier.spage1581-
dc.identifier.epage1604-
dc.identifier.eissn1432-1416-
dc.identifier.isiWOS:000464908900001-

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