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

Kyrychko, Yuliya N and Blyuss, Konstantin B (2005) Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate. Nonlinear Analysis: RealWorld Applications, 6. 495 ¿ 507. ISSN 1468-1218

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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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Yuliya Kyrychko
Date Deposited: 06 Feb 2012 19:38
Last Modified: 04 Apr 2012 09:52
URI: http://sro.sussex.ac.uk/id/eprint/21622
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