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

journal contribution
posted on 2023-06-07, 23:37 authored by Yuliya KyrychkoYuliya Kyrychko, Konstantin BlyussKonstantin Blyuss
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.

History

Publication status

  • Published

Journal

Nonlinear Analysis: RealWorld Applications

ISSN

1468-1218

Volume

6

Page range

495 ¿ 507

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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