In this paper we study a model for the spread of an SIRS-type epidemics on a network, both in a deterministic setting and under the presence of a random environment, that enters in the definition of the infection rates of the nodes. Accordingly, we model the infection rates in the form of independent stochastic processes. To analyze the problem, we apply a mean field approximation that is known in the literature as NIMFA model, which allows to get a differential equation for the probability of infection in each node. We discover a sufficient condition which guarantees the extinction of the epidemics both in the deterministic and in the stochastic setting.

Deterministic and stochastic mean-field sirs models on heterogeneous networks / Bonaccorsi, Stefano; Turri, Silvia. - STAMPA. - 281:(2020), pp. 67-89. [10.1007/978-3-030-44097-8_3]

Deterministic and stochastic mean-field sirs models on heterogeneous networks

Bonaccorsi, Stefano;Turri, Silvia
2020-01-01

Abstract

In this paper we study a model for the spread of an SIRS-type epidemics on a network, both in a deterministic setting and under the presence of a random environment, that enters in the definition of the infection rates of the nodes. Accordingly, we model the infection rates in the form of independent stochastic processes. To analyze the problem, we apply a mean field approximation that is known in the literature as NIMFA model, which allows to get a differential equation for the probability of infection in each node. We discover a sufficient condition which guarantees the extinction of the epidemics both in the deterministic and in the stochastic setting.
2020
Discrete and Continuous Models in the Theory of Networks
Cham, CH
Birkhäuser; Springer
978-3-030-44096-1
978-3-030-44097-8
Bonaccorsi, Stefano; Turri, Silvia
Deterministic and stochastic mean-field sirs models on heterogeneous networks / Bonaccorsi, Stefano; Turri, Silvia. - STAMPA. - 281:(2020), pp. 67-89. [10.1007/978-3-030-44097-8_3]
File in questo prodotto:
File Dimensione Formato  
sirs-version3.0.pdf

Open Access dal 02/01/2022

Descrizione: articolo
Tipologia: Post-print referato (Refereed author’s manuscript)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 987.64 kB
Formato Adobe PDF
987.64 kB Adobe PDF Visualizza/Apri
Bonaccorsi-Turri2020_Chapter_DeterministicAndStochasticMean.pdf

Solo gestori archivio

Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 725.06 kB
Formato Adobe PDF
725.06 kB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/295205
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? ND
social impact