Global properties for SIR and SEIR age-structured models

Author

Korobeinikov, A.

Melnik, A.V.

Publication date

2014-01-01



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.

Document Type

Preliminary Edition

Language

English

CDU Subject

51 - Mathematics

Subject

Matemàtiques

Pages

13 p.

Version of

CRM Preprints

Documents

G7-distributed-melnik-CRMpreprintMaRcAt.pdf

361.2Kb

 

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/

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