Cargando…
Epidemic Models with Switching
In this chapter, the methods developed thus far are applied to a variety of infectious disease models with different physiological and epidemiological assumptions. Many of the previous results are immediately applicable, thanks to the flexibility of the simple techniques used here. However, some com...
Autores principales: | , |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
2017
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7123924/ http://dx.doi.org/10.1007/978-3-319-53208-0_4 |
_version_ | 1783515743896207360 |
---|---|
author | Liu, Xinzhi Stechlinski, Peter |
author_facet | Liu, Xinzhi Stechlinski, Peter |
author_sort | Liu, Xinzhi |
collection | PubMed |
description | In this chapter, the methods developed thus far are applied to a variety of infectious disease models with different physiological and epidemiological assumptions. Many of the previous results are immediately applicable, thanks to the flexibility of the simple techniques used here. However, some complicating modeling assumptions lead to a need for different switched systems techniques not present in the previous chapter. First, the so-called SIS model is considered, followed by incorporation of media coverage, network epidemic models with interconnected cities (or patches), and diseases spread by vector agents (e.g., mosquitoes) which are modeled using time delays. Straightforward extensions of eradication results are given for models with vertical transmission, disease-induced mortality, waning immunity, passive immunity, and a model with general compartments. |
format | Online Article Text |
id | pubmed-7123924 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
record_format | MEDLINE/PubMed |
spelling | pubmed-71239242020-04-06 Epidemic Models with Switching Liu, Xinzhi Stechlinski, Peter Infectious Disease Modeling Article In this chapter, the methods developed thus far are applied to a variety of infectious disease models with different physiological and epidemiological assumptions. Many of the previous results are immediately applicable, thanks to the flexibility of the simple techniques used here. However, some complicating modeling assumptions lead to a need for different switched systems techniques not present in the previous chapter. First, the so-called SIS model is considered, followed by incorporation of media coverage, network epidemic models with interconnected cities (or patches), and diseases spread by vector agents (e.g., mosquitoes) which are modeled using time delays. Straightforward extensions of eradication results are given for models with vertical transmission, disease-induced mortality, waning immunity, passive immunity, and a model with general compartments. 2017-01-02 /pmc/articles/PMC7123924/ http://dx.doi.org/10.1007/978-3-319-53208-0_4 Text en © Springer International Publishing AG 2017 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic. |
spellingShingle | Article Liu, Xinzhi Stechlinski, Peter Epidemic Models with Switching |
title | Epidemic Models with Switching |
title_full | Epidemic Models with Switching |
title_fullStr | Epidemic Models with Switching |
title_full_unstemmed | Epidemic Models with Switching |
title_short | Epidemic Models with Switching |
title_sort | epidemic models with switching |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7123924/ http://dx.doi.org/10.1007/978-3-319-53208-0_4 |
work_keys_str_mv | AT liuxinzhi epidemicmodelswithswitching AT stechlinskipeter epidemicmodelswithswitching |