Competitive Networked Bivirus SIS Spread Over Hypergraphs

Sebin Gracy, Brian D.O. Anderson, Mengbin Ye, Cesar A. Uribe

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

The paper deals with the spread of two competing viruses over a network of population nodes, accounting for pair-wise interactions and higher-order interactions (HOI) within and between the population nodes. We study the competitive networked bivirus susceptible-infected-susceptible (SIS) model on a hypergraph introduced in Cui et al. [1]. We show that the system has, in a generic sense, a finite number of equilibria, and the Jacobian associated with each equilibrium point is nonsingular; the key tool is the Parametric Transver-sality Theorem of differential topology. Since the system is also monotone, it turns out that the typical behavior of the system is convergence to some equilibrium point. Thereafter, we exhibit a tri-stable domain with three locally exponentially stable equilibria. For different parameter regimes, we establish conditions for the existence of a coexistence equilibrium (both viruses infect separate fractions of each population node).

Original languageEnglish
Title of host publication2024 American Control Conference, ACC 2024
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4409-4415
Number of pages7
ISBN (Electronic)9798350382655
DOIs
Publication statusPublished - 2024
Event2024 American Control Conference, ACC 2024 - Toronto, Canada
Duration: 10 Jul 202412 Jul 2024

Publication series

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

Conference

Conference2024 American Control Conference, ACC 2024
Country/TerritoryCanada
CityToronto
Period10/07/2412/07/24

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