Discrete-time layered-network epidemics model with time-varying transition rates and multiple resources

Shaoxuan Cui, Fangzhou Liu*, Hildeberto Jardón-Kojakhmetov, Ming Cao

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)
16 Downloads (Pure)

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 languageEnglish
Article number111303
Number of pages8
JournalAutomatica
Volume159
DOIs
Publication statusPublished - Jan-2024

Keywords

  • Discrete-time systems
  • Epidemic processes
  • Multi-layer network
  • Stability
  • Time-varying transition rates

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