Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate

Y Kyrychko, KB Blyuss

Research output: Contribution to journalArticle (Academic Journal)peer-review

108 Citations (Scopus)

Abstract

We derive and study a time-delayed SIR model with a general incidence rate. The time delay represents temporary immunity period, i.e. time from recovery to becoming susceptible again. Both trivial and endemic equilibria are found, and their stability is investigated. Using Lyapunov functional approach, the global stability of an endemic equilibrium is shown. Numerical simulations support our analytical conclusions and illustrate possible behaviour scenarios of the model.
Translated title of the contributionGlobal properties of a delayed SIR model with temporary immunity and nonlinear incidence rate
Original languageEnglish
Pages (from-to)495 - 507
Number of pages13
JournalNonlinear Analysis - Real World Applications
Volume6 (3)
DOIs
Publication statusPublished - Jul 2005

Bibliographical note

Publisher: Pergamon-Elsevier Science Ltd

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