Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/26146
Title: | Oscillatory behaviour on a non-autonomous hybrid SIR-Model |
Author: | Rocha, Eugénio |
Keywords: | SIR-models Hybrid systems Stability |
Issue Date: | 28-Apr-2019 |
Publisher: | Springer |
Abstract: | We study the impact of some abstract agent intervention on the disease spread modelled by a SIR-model with linear growth infectivity. The intervention is meant to decrease the infectivity, which are activated by a threshold on the number of infected individuals. The coupled model is represented as a nonlinear non-autonomous hybrid system. Stability and reduction results are obtained using the notions of non-autonomous attractors, Bohl exponents, and dichotomy spectrum. Numerical examples are given where the number of infected individuals can oscillate around a equilibrium point or be a succession of bump functions, which are validated with a tool based on the notion of delta-complete decision procedures for solving satisfiability modulo theories problems over the real numbers and bounded delta-reachability. These findings seem to show that hybrid SIR-models are more flexible than standard models and generate a vast set of solution profiles. It also raises questions regarding the possibility of the agent intervention been somehow responsible for the shape and intensity of future outbreaks. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/26146 |
DOI: | 10.1007/978-3-030-19432-1_3 |
ISBN: | 978-3-030-19431-4 |
Appears in Collections: | CIDMA - Capítulo de livro FAAG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Rocha-MLCSB2018.pdf | 1.42 MB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.