Lyapunov functions and global stability for SIR and SEIR models with age-dependent susceptibility

Andrei Korobeinikov, Andrey V. Melnik

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)369-378
Number of pages10
JournalMathematical Biosciences and Engineering
Volume10
Issue number2
DOIs
StatePublished - Jan 17 2013
Externally publishedYes

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