Graph, Spectra, Control and Epidemics: An Example with a SEIR Model

Networks and graphs offer a suitable and powerful framework for studying the spread of infection in human and animal populations. In the case of a heterogeneous population, the social contact network has a pivotal role in the analysis of directly transmitted infectious diseases. The literature prese...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Giacomo Aletti, Alessandro Benfenati, Giovanni Naldi
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	epidemic spread multi-group models network based model control of spread dynamics Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/1c02f0ab8aa8472181b7321c79a9f08c
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:1c02f0ab8aa8472181b7321c79a9f08c
record_format	dspace
spelling	oai:doaj.org-article:1c02f0ab8aa8472181b7321c79a9f08c2021-11-25T18:17:50ZGraph, Spectra, Control and Epidemics: An Example with a SEIR Model10.3390/math92229872227-7390https://doaj.org/article/1c02f0ab8aa8472181b7321c79a9f08c2021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2987https://doaj.org/toc/2227-7390Networks and graphs offer a suitable and powerful framework for studying the spread of infection in human and animal populations. In the case of a heterogeneous population, the social contact network has a pivotal role in the analysis of directly transmitted infectious diseases. The literature presents several works where network-based models encompass realistic features (such as contacts networks or host–pathogen biological data), but analytical results are nonetheless scarce. As a significant example, in this paper, we develop a multi-group version of the epidemiological SEIR population-based model. Each group can represent a social subpopulation with the same habits or a group of geographically localized people. We consider also heterogeneity in the weighting of contacts between two groups. As a simple application, we propose a simple control algorithm in which we optimize the connection weights in order to minimize the combination between an economic cost and a social cost. Some numerical simulations are also provided.Giacomo AlettiAlessandro BenfenatiGiovanni NaldiMDPI AGarticleepidemic spreadmulti-group modelsnetwork based modelcontrol of spread dynamicsMathematicsQA1-939ENMathematics, Vol 9, Iss 2987, p 2987 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	epidemic spread multi-group models network based model control of spread dynamics Mathematics QA1-939
spellingShingle	epidemic spread multi-group models network based model control of spread dynamics Mathematics QA1-939 Giacomo Aletti Alessandro Benfenati Giovanni Naldi Graph, Spectra, Control and Epidemics: An Example with a SEIR Model
description	Networks and graphs offer a suitable and powerful framework for studying the spread of infection in human and animal populations. In the case of a heterogeneous population, the social contact network has a pivotal role in the analysis of directly transmitted infectious diseases. The literature presents several works where network-based models encompass realistic features (such as contacts networks or host–pathogen biological data), but analytical results are nonetheless scarce. As a significant example, in this paper, we develop a multi-group version of the epidemiological SEIR population-based model. Each group can represent a social subpopulation with the same habits or a group of geographically localized people. We consider also heterogeneity in the weighting of contacts between two groups. As a simple application, we propose a simple control algorithm in which we optimize the connection weights in order to minimize the combination between an economic cost and a social cost. Some numerical simulations are also provided.
format	article
author	Giacomo Aletti Alessandro Benfenati Giovanni Naldi
author_facet	Giacomo Aletti Alessandro Benfenati Giovanni Naldi
author_sort	Giacomo Aletti
title	Graph, Spectra, Control and Epidemics: An Example with a SEIR Model
title_short	Graph, Spectra, Control and Epidemics: An Example with a SEIR Model
title_full	Graph, Spectra, Control and Epidemics: An Example with a SEIR Model
title_fullStr	Graph, Spectra, Control and Epidemics: An Example with a SEIR Model
title_full_unstemmed	Graph, Spectra, Control and Epidemics: An Example with a SEIR Model
title_sort	graph, spectra, control and epidemics: an example with a seir model
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/1c02f0ab8aa8472181b7321c79a9f08c
work_keys_str_mv	AT giacomoaletti graphspectracontrolandepidemicsanexamplewithaseirmodel AT alessandrobenfenati graphspectracontrolandepidemicsanexamplewithaseirmodel AT giovanninaldi graphspectracontrolandepidemicsanexamplewithaseirmodel
_version_	1718411367053000704

Graph, Spectra, Control and Epidemics: An Example with a SEIR Model

Ejemplares similares