Stability analysis of an eight parameter SIR-type model including loss of immunity, and disease and vaccination fatalities
| Autor: | Florin Avram, Rim Adenane, Gianluca Bianchin, Andrei Halanay |
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| Rok vydání: | 2021 |
| Předmět: |
General Mathematics
Populations and Evolution (q-bio.PE) stability vaccination epidemic models varying population models next-generation matrix approach basic reproduction number loss of immunity endemic equilibria isoclines Quantitative Biology::Cell Behavior Mathematics - Classical Analysis and ODEs FOS: Biological sciences QA1-939 Computer Science (miscellaneous) Classical Analysis and ODEs (math.CA) FOS: Mathematics Quantitative Biology::Populations and Evolution Quantitative Biology - Populations and Evolution Engineering (miscellaneous) Mathematics |
| Zdroj: | Mathematics, Vol 10, Iss 402, p 402 (2022) Mathematics; Volume 10; Issue 3; Pages: 402 |
| DOI: | 10.48550/arxiv.2112.11917 |
| Popis: | We revisit here a landmark five parameter SIR-type model of [DvdD93, Sec. 4], which is maybe the simplest example where a complete picture of all cases, including non-trivial bistability behavior, may be obtained using simple tools. We also generalize it by adding essential vaccination and vaccination-induced death parameters, with the aim of revealing the role of vaccination and its possible failure. The main result is Theorem 5, which describes the stability behavior of our model in all possible cases. |
| Databáze: | OpenAIRE |
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