Multilayer SIS Model With an Infrastructure NetworkShow others and affiliations
2023 (English)In: IEEE Transactions on Control of Network Systems, E-ISSN 2325-5870, Vol. 10, no 1, p. 295-307Article in journal (Refereed) Published
Abstract [en]
In this article, we develop a layered networked spread model for a susceptible-infected-susceptible pathogen-borne disease spreading over a human contact network and an infrastructure network, and refer to it as a layered networked susceptible-infected-water-susceptible model (SIWS). The "W" in SIWS represents any infrastructure network contamination, not necessarily restricted to a water distribution network. We identify sufficient conditions for the existence, uniqueness, and stability of various equilibria of the aforementioned model. Further, we study an observability problem, where, assuming that the measurements of the pathogen levels in the infrastructure network are available, we provide a necessary and sufficient condition for estimation of the sickness levels of the nodes in the human contact network. Our results are illustrated through an in-depth set of simulations.
Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE) , 2023. Vol. 10, no 1, p. 295-307
Keywords [en]
Statistics, Sociology, Observability, Pathogens, Analytical models, Water resources, Epidemics, Epidemic processes, infrastructure networks, stability
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-326648DOI: 10.1109/TCNS.2022.3203352ISI: 000967202900001Scopus ID: 2-s2.0-85137588992OAI: oai:DiVA.org:kth-326648DiVA, id: diva2:1755443
Note
QC 20230508
2023-05-082023-05-082025-01-31Bibliographically approved