File(s) not publicly available
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 BlyussWe 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 ApplicationsISSN
1468-1218External DOI
Volume
6Page range
495 ¿ 507Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC