| Autor: |
Andrei Korobeinikov, Elena Shchepakina, Vladimir Sobolev |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
|
| Zdroj: |
Mathematical Biosciences and Engineering, Vol 17, Iss 1, Pp 725-736 (2020) |
| Druh dokumentu: |
article |
| ISSN: |
1551-0018 |
| DOI: |
10.3934/mbe.2020037?viewType=HTML |
| Popis: |
Models of the spread of infectious diseases commonly have to deal with the problem of multiple timescales which naturally occur in the epidemic models. In the most cases, this problem is implicitly avoided with the use of the so-called "constant population size" assumption. However, applicability of this assumption can require a justification (which is typically omitted). In this paper we consider some multiscale phenomena that arise in a reasonably simple SusceptibleInfected-Removed (SIR) model with variable population size. In particular, we discuss examples of the canard cascades and a black swan that arise in this model. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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