Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/26146
Título: | Oscillatory behaviour on a non-autonomous hybrid SIR-Model |
Autor: | Rocha, Eugénio |
Palavras-chave: | SIR-models Hybrid systems Stability |
Data: | 28-Abr-2019 |
Editora: | Springer |
Resumo: | 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 |
Aparece nas coleções: | CIDMA - Capítulo de livro FAAG - Capítulo de livro |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Rocha-MLCSB2018.pdf | 1.42 MB | Adobe PDF | Ver/Abrir |
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