Graphon-based sensitivity analysis of SIS epidemics - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles IEEE Control Systems Letters Year : 2020

Graphon-based sensitivity analysis of SIS epidemics


In this work, we use the spectral properties of graphons to study stability and sensitivity to noise of deterministic SIS epidemics over large networks. We consider the presence of additive noise in a linearized SIS model and we derive a noise index to quantify the deviation from the disease-free state due to noise. For finite networks, we show that the index depends on the adjacency eigenvalues of its graph. We then assume that the graph is a random sample from a piecewise Lipschitz graphon with finite rank and, using the eigenvalues of the associated graphon operator, we find an approximation of the index that is tight when the network size goes to infinity. A numerical example is included to illustrate the results.
Fichier principal
Vignette du fichier
Paper__Graphon_Epidemics_.pdf (280.09 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-02468225 , version 1 (05-02-2020)



Renato Vizuete, Paolo Frasca, Federica Garin. Graphon-based sensitivity analysis of SIS epidemics. IEEE Control Systems Letters, 2020, 4 (3), pp.542 - 547. ⟨10.1109/LCSYS.2020.2971021⟩. ⟨hal-02468225⟩
1088 View
405 Download



Gmail Mastodon Facebook X LinkedIn More