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arXiv · 2206.07425

Discrete-time Layered-network Epidemics Model with Time-varying Transition Rates and Multiple Resources

Shaoxuan Cui·Fangzhou Liu·Hildeberto Jardón-Kojakhmetov·Ming Cao
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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 \emph{resources} to refer to any media that the pathogen of a virus can spread through, 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.

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Shaoxuan Cui, Fangzhou Liu, Hildeberto Jardón-Kojakhmetov, Ming Cao. 2022-06-15. Discrete-time Layered-network Epidemics Model with Time-varying Transition Rates and Multiple Resources. https://arxiv.org/abs/2206.07425

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