Global properties for SIR and SEIR age-structured models

dc.contributor.author
Korobeinikov, A.
dc.contributor.author
Melnik, A.V.
dc.date.accessioned
2020-10-14T11:21:21Z
dc.date.accessioned
2024-09-19T13:21:57Z
dc.date.available
2020-10-14T11:21:21Z
dc.date.available
2024-09-19T13:21:57Z
dc.date.issued
2014-01-01
dc.identifier.uri
http://hdl.handle.net/2072/377545
dc.description.abstract
We consider global asymptotic properties for the \emph{SIR} and \emph{SEIR} age structured models for infectious diseases where the susceptibility depends on the age. Using the direct Lyapunov method with Volterra type Lyapunov functions, we establish conditions for the global stability of a~unique endemic steady state and the infection-free steady state.
eng
dc.format.extent
13 p.
cat
dc.language.iso
eng
cat
dc.relation.ispartof
CRM Preprints
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons:http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Matemàtiques
cat
dc.title
Global properties for SIR and SEIR age-structured models
cat
dc.type
info:eu-repo/semantics/preprint
cat
dc.subject.udc
51
cat
dc.embargo.terms
cap
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess


Documents

G7-distributed-melnik-CRMpreprintMaRcAt.pdf

361.2Kb PDF

This item appears in the following Collection(s)