Analysis of a Networked SIS Multi-Virus Model with a Shared ResourceShow others and affiliations
2020 (English)In: IFAC PAPERSONLINE, Elsevier BV , 2020, Vol. 53, no 5, p. 797-802Conference paper, Published paper (Refereed)
Abstract [en]
In this paper, we introduce a continuous-time competing virus model with a shared resource. We say that the system is in the healthy state if all the agents are healthy, and the shared resource is not contaminated. If the epidemic remains persistent, and the shared resource is contaminated, we say that the system is in the endemic state. First of all we show, under appropriate assumptions, that the model we introduce is well-posed. Secondly, we establish sufficient conditions for exponential (resp. asymptotic) eradication of a virus. Thirdly, for the single-virus case with a shared resource, we establish conditions that lead to existence of an endemic equilibrium. Finally, we provide a necessary and sufficient condition for uniqueness of the healthy state.
Place, publisher, year, edition, pages
Elsevier BV , 2020. Vol. 53, no 5, p. 797-802
Keywords [en]
Epidemic processes, Competing viruses, Shared resource, Exponential stability, Asymptotic Stability, Endemic equilibrium
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-298148DOI: 10.1016/j.ifacol.2021.04.220ISI: 000656589700141Scopus ID: 2-s2.0-85107894738OAI: oai:DiVA.org:kth-298148DiVA, id: diva2:1582584
Conference
3rd IFAC Workshop pn Cyber-Physical and Human Systems (CPHS), DEC 03-05, 2020, Beijing, PEOPLES R CHINA
Note
QC 20210802
2021-08-022021-08-022022-06-30Bibliographically approved