Global dynamics of SIR model with switched transmission rate
Language English Country Germany Media print-electronic
Document type Journal Article, Research Support, Non-U.S. Gov't
PubMed
31900507
DOI
10.1007/s00285-019-01460-2
PII: 10.1007/s00285-019-01460-2
Knihovny.cz E-resources
- Keywords
- Disease prevention, Endemic equilibrium, Public intervention, SIR model dynamics, Switching transmission rate,
- MeSH
- Models, Biological * MeSH
- Epidemics prevention & control statistics & numerical data MeSH
- Communicable Diseases epidemiology transmission MeSH
- Communicable Disease Control statistics & numerical data MeSH
- Humans MeSH
- Linear Models MeSH
- Mathematical Concepts MeSH
- Computer Simulation MeSH
- Systems Biology MeSH
- Vaccination statistics & numerical data MeSH
- Computational Biology MeSH
- Basic Reproduction Number prevention & control statistics & numerical data MeSH
- Check Tag
- Humans MeSH
- Publication type
- Journal Article MeSH
- Research Support, Non-U.S. Gov't MeSH
We propose a new epidemiological model, based on the classical SIR model, taking additionally into account a switching prevention strategy. The model has two distinct thresholds that determine the beginning and the end of an intervention and two different transmission rates. We study the global dynamics of the proposed two-dimensional model.
Mathematical Institute of the Silesian University NaRybníčku 1 746 01 Opava Czech Republic
University of Texas at Dallas 800 W Campbell Richardson TX 75080 USA
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