Cost-Effective Activity Control of Asymptomatic Carriers in Layered Temporal Social Networks
arxiv(2024)
摘要
The robustness of human social networks against epidemic propagation relies
on the propensity for physical contact adaptation. During the early phase of
infection, asymptomatic carriers exhibit the same activity level as susceptible
individuals, which presents challenges for incorporating control measures in
epidemic projection models. This paper focuses on modeling and cost-efficient
activity control of susceptible and carrier individuals in the context of the
susceptible-carrier-infected-removed (SCIR) epidemic model over a two-layer
contact network. In this model, individuals switch from a static contact layer
to create new links in a temporal layer based on state-dependent activation
rates. We derive conditions for the infection to die out or persist in a
homogeneous network. Considering the significant costs associated with reducing
the activity of susceptible and carrier individuals, we formulate an
optimization problem to minimize the disease decay rate while constrained by a
limited budget. We propose the use of successive geometric programming (SGP)
approximation for this optimization task. Through simulation experiments on
Poisson random graphs, we assess the impact of different parameters on disease
prevalence. The results demonstrate that our SGP framework achieves a cost
reduction of nearly 33
closeness centrality.
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