no code implementations • 20 Oct 2023 • Sebin Gracy, Ji Liu, Tamer Basar, Cesar A. Uribe
We identify a sufficient condition for exponential convergence to the disease-free equilibrium (DFE).
no code implementations • 25 Sep 2023 • Sebin Gracy, Brian D. O. Anderson, Mengbin Ye, Cesar A. Uribe
The paper deals with the spread of two competing viruses over a network of population nodes, accounting for pairwise interactions and higher-order interactions (HOI) within and between the population nodes.
no code implementations • 15 May 2023 • Ciyuan Zhang, Sebin Gracy, Tamer Basar, Philip E. Pare
Second, we propose an observation model which captures the summation of all the viruses' infection levels in each node, which represents the individuals who are infected by different viruses but share similar symptoms.
no code implementations • 29 Mar 2023 • Sebin Gracy, Mengbin Ye, Brian D. O. Anderson, Cesar A. Uribe
We also identify sufficient conditions for the existence of a 2-coexistence (resp.
no code implementations • 15 Mar 2023 • Sebin Gracy, YuAn Wang, Philip E. Pare, Cesar A Uribe
We study the spread of multi-competitive viruses over a (possibly) time-varying network of individuals accounting for the presence of shared infrastructure networks that further enables transmission of the virus.
no code implementations • 9 Oct 2022 • YuAn Wang, Sebin Gracy, César A. Uribe, Hideaki Ishii, Karl Henrik Johansson
The upshot of devising such a strategy is that it allows health administration officials to ensure that there is sufficient capacity in the healthcare system to treat the most severe cases.
no code implementations • 23 Sep 2022 • Sebin Gracy, Mengbin Ye, Brian DO Anderson, Cesar A. Uribe
This paper studies the endemic behavior of a multi-competitive networked susceptible-infected-susceptible (SIS) model.
no code implementations • 23 Jul 2022 • Sebin Gracy, Philip E. Paré, Ji Liu, Henrik Sandberg, Carolyn L. Beck, Karl Henrik Johansson, Tamer Başar
We establish a sufficient condition and multiple necessary conditions for local exponential convergence to the boundary equilibrium (i. e., one virus persists, the other one dies out) of each virus.
no code implementations • 1 Apr 2022 • Ciyuan Zhang, Sebin Gracy, Tamer Basar, Philip E. Pare
This paper proposes a novel discrete-time multi-virus SIR (susceptible-infected-recovered) model that captures the spread of competing SIR epidemics over a population network.
no code implementations • 31 Mar 2022 • Ludvig Lindstrom, Sebin Gracy, Sindri Magnusson, Henrik Sandberg
Finally, assuming the existence of a single leak, for a network comprising of more than one pipe and assuming that the network has a tree structure, we provide a systematic procedure for determining the leak location, the leak exponent, and the leak constant
no code implementations • 29 Sep 2021 • Jakob Nylöf, Apostolos I. Rikos, Sebin Gracy, Karl H. Johansson
It is shown that the proposed privacy-preserving resource allocation algorithm performs well with an appropriate convergence rate under privacy guarantees.
no code implementations • 20 Sep 2021 • Philip E. Pare, Axel Janson, Sebin Gracy, Ji Liu, Henrik Sandberg, Karl H. Johansson
We develop a layered networked spread model for a susceptible-infected-susceptible (SIS) 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 (SIWS) model.
no code implementations • 31 May 2021 • YuAn Wang, Sebin Gracy, Hideaki Ishii, Karl Henrik Johansson
This paper considers the susceptible-infected-susceptible (SIS) epidemic model with an underlying network structure among subpopulations and focuses on the effect of social distancing to regulate the epidemic level.