Analysis of a Networked SIS Multi-Virus Model with a Shared Resource
| Autor: | Sebin Gracy, Axel Janson, Henrik Sandberg, Philip E. Pare, Karl Henrik Johansson |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Mathematical optimization 020901 industrial engineering & automation Control and Systems Engineering Computer science 020208 electrical & electronic engineering 0202 electrical engineering electronic engineering information engineering 02 engineering and technology State (functional analysis) Uniqueness Shared resource |
| Zdroj: | IFAC-PapersOnLine. 53:797-802 |
| ISSN: | 2405-8963 |
| DOI: | 10.1016/j.ifacol.2021.04.220 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|