Effect of self-excitement and behavioral factors on epidemics on activity driven networks

Lorenzo Zino, Alessandro Rizzo, Maurizio Porfiri

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we deal with the problem of including real-world phenomena into a mathematically tractable framework for the spread of epidemics on time-varying networks. Specifically, we consider individual behavioral modifications of the node dynamics due to self-excitement mechanisms and activity reduction due to infection. We develop our model within the framework of activity driven networks, which have recently emerged as a powerful tool to study the co-evolution of a network and of a spreading processes on it. First, we present a recent model extension that allows for the inclusion of self-excitement mechanisms. Then, we extend the model by including activity reduction due to infection, and we study its effect on the network propensity to epidemic outbreaks. We determine that, depending on the relative strength of the two concurrent mechanisms (self-excitement and activity reduction due to infection), the network may favor or hinder the spread of an epidemic disease. We analytically characterize these two situations, depending on the model and network parameters. Numerical simulations are provided to support and extend our analytical findings.

Original languageEnglish (US)
Title of host publication2019 18th European Control Conference, ECC 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1512-1517
Number of pages6
ISBN (Electronic)9783907144008
DOIs
StatePublished - Jun 2019
Event18th European Control Conference, ECC 2019 - Naples, Italy
Duration: Jun 25 2019Jun 28 2019

Publication series

Name2019 18th European Control Conference, ECC 2019

Conference

Conference18th European Control Conference, ECC 2019
CountryItaly
CityNaples
Period6/25/196/28/19

ASJC Scopus subject areas

  • Instrumentation
  • Control and Optimization

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  • Cite this

    Zino, L., Rizzo, A., & Porfiri, M. (2019). Effect of self-excitement and behavioral factors on epidemics on activity driven networks. In 2019 18th European Control Conference, ECC 2019 (pp. 1512-1517). [8795748] (2019 18th European Control Conference, ECC 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ECC.2019.8795748