We study a fast–slow version of an SIRS epidemiological model on homogeneous graphs, obtained through the application of the moment closure method. We use GSPT to study the model, taking into account that the infection period is much shorter than the average duration of immunity. We show that the dynamics occurs through a sequence of fast and slow flows, that can be described through 2-dimensional maps that, under some assumptions, can be approximated as 1-dimensional maps. Using this method, together with numerical bifurcation tools, we show that the model can give rise to periodic solutions, differently from the corresponding model based on homogeneous mixing.

A geometric analysis of the SIRS epidemiological model on a homogeneous network / Jardon-Kojakhmetov, Hildeberto; Kuehn, Christian; Pugliese, Andrea; Sensi, Mattia. - In: JOURNAL OF MATHEMATICAL BIOLOGY. - ISSN 0303-6812. - 83:4(2021), pp. 37.1-37.38. [10.1007/s00285-021-01664-5]

A geometric analysis of the SIRS epidemiological model on a homogeneous network

Pugliese, Andrea;Sensi, Mattia
2021

Abstract

We study a fast–slow version of an SIRS epidemiological model on homogeneous graphs, obtained through the application of the moment closure method. We use GSPT to study the model, taking into account that the infection period is much shorter than the average duration of immunity. We show that the dynamics occurs through a sequence of fast and slow flows, that can be described through 2-dimensional maps that, under some assumptions, can be approximated as 1-dimensional maps. Using this method, together with numerical bifurcation tools, we show that the model can give rise to periodic solutions, differently from the corresponding model based on homogeneous mixing.
4
Jardon-Kojakhmetov, Hildeberto; Kuehn, Christian; Pugliese, Andrea; Sensi, Mattia
A geometric analysis of the SIRS epidemiological model on a homogeneous network / Jardon-Kojakhmetov, Hildeberto; Kuehn, Christian; Pugliese, Andrea; Sensi, Mattia. - In: JOURNAL OF MATHEMATICAL BIOLOGY. - ISSN 0303-6812. - 83:4(2021), pp. 37.1-37.38. [10.1007/s00285-021-01664-5]
File in questo prodotto:
File Dimensione Formato  
Jardón-Kojakhmetov2021_Article_AGeometricAnalysisOfTheSIRSEpi.pdf

accesso aperto

Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Creative commons
Dimensione 1.43 MB
Formato Adobe PDF
1.43 MB 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: http://hdl.handle.net/11572/328964
Citazioni
  • ???jsp.display-item.citation.pmc??? 5
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 3
social impact