Discrete-Time Spread Processes: Analysis, Identification, and Validation

Philip E. Paré, Barrett E. Kirwan, Ji Liu, Tamer Başar, Carolyn L. Beck

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

Abstract

Models of spread processes over non-trivial networks are commonly motivated by modeling and analysis of biological networks, computer networks, and human contact networks. However, identification of such models has not been explored in detail, and the models have not been validated by real data. In this paper, we present several different spread models from the literature and explore their relationships to each other; for one of these processes, we present a sufficient condition for asymptotic stability of the healthy equilibrium, show that the condition is necessary and sufficient for uniqueness of the healthy equilibrium, and present necessary and sufficient conditions for learning the spread parameters. Finally, we employ data from the United States Department of Agriculture (USDA) to validate an approximation of a well-studied network-dependent susceptible-infected-susceptible (SIS) model by viewing the enrollment in subsidy programs by farmers as a spread process.

Original languageEnglish (US)
Title of host publication2018 Annual American Control Conference, ACC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages404-409
Number of pages6
ISBN (Print)9781538654286
DOIs
StatePublished - Aug 9 2018
Event2018 Annual American Control Conference, ACC 2018 - Milwauke, United States
Duration: Jun 27 2018Jun 29 2018

Publication series

NameProceedings of the American Control Conference
Volume2018-June
ISSN (Print)0743-1619

Other

Other2018 Annual American Control Conference, ACC 2018
CountryUnited States
CityMilwauke
Period6/27/186/29/18

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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  • Cite this

    Paré, P. E., Kirwan, B. E., Liu, J., Başar, T., & Beck, C. L. (2018). Discrete-Time Spread Processes: Analysis, Identification, and Validation. In 2018 Annual American Control Conference, ACC 2018 (pp. 404-409). [8430937] (Proceedings of the American Control Conference; Vol. 2018-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC.2018.8430937