Abstract
This paper studies a discrete-time time-varying multi-layer networked SIWS (susceptible-infected-water-susceptible) model with multiple resources under both single-virus and competing multi-virus settings. Besides the human-to-human interaction, we also consider that the disease can diffuse on different types of medium. We use resources to refer to any media through which the pathogen of a virus can spread, and do not restrict the resource only to be water. In the single-virus case, we give a full analysis of the system's behaviour related to its healthy state and endemic equilibrium. In the multi-virus case, we show analytically that different equilibria appear driven by the competition among all viruses. We also show that some analytical results of the time-invariant system can be expanded into time-varying cases. Finally, we illustrate the results through some simulations.
Original language | English |
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Article number | 111303 |
Number of pages | 8 |
Journal | Automatica |
Volume | 159 |
DOIs | |
Publication status | Published - Jan-2024 |
Keywords
- Discrete-time systems
- Epidemic processes
- Multi-layer network
- Stability
- Time-varying transition rates