dc.contributor.author
Melnik, A.V.
dc.contributor.author
Korobeinikov, A.
dc.date.accessioned
2020-11-20T13:36:38Z
dc.date.accessioned
2024-09-19T14:31:52Z
dc.date.available
2020-11-20T13:36:38Z
dc.date.available
2024-09-19T14:31:52Z
dc.date.issued
2013-01-01
dc.identifier.uri
http://hdl.handle.net/2072/377909
dc.description.abstract
We consider global asymptotic properties for the SIR and 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
378 p.
cat
dc.relation.ispartof
Mathematical Biosciences and Engineering
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
Lyapunov functions and global stability for SIR and SEIR models with age-dependent susceptibility
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.3934/mbe.2013.10.369
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
