Epidemic control in networks with cliques

Abstract

Social units, such as households and schools, can play an important role in controlling epidemic outbreaks. In this work, we study an epidemic model with a prompt quarantine measure on networks with cliques (a $clique$ is a fully connected subgraph representing a social unit). According to this strategy, newly infected individuals are detected and quarantined (along with their close contacts) with probability $f$. Numerical simulations reveal that epidemic outbreaks in networks with cliques are abruptly suppressed at a transition point $f_c$. However, small outbreaks show features of a second-order phase transition around $f_c$. Therefore, our model can exhibit properties of both discontinuous and continuous phase transitions. Next, we show analytically that the probability of small outbreaks goes continuously to 1 at $f_c$ in the thermodynamic limit. Finally, we find that our model exhibits a backward bifurcation phenomenon.

References in corpus (27)

• Catastrophic cascade of failures in interdependent networks
• Epidemic processes in complex networks
• The spread of epidemic disease on networks
• Networks beyond pairwise interactions: structure and dynamics
• The physics of higher-order interactions in complex systems
• Epidemic dynamics on an adaptive network
• Epidemic thresholds of the Susceptible-Infected-Susceptible model on networks: A comparison of numerical and theoretical results
• Second look at the spread of epidemics on networks
• Random graphs containing arbitrary distributions of subgraphs
• Cascading Failures in Complex Networks
• The effectiveness of backward contact tracing in networks
• Bond percolation on a class of clustered random networks
• Heterogeneous-k-core versus Bootstrap Percolation on Complex Networks
• Social confinement and mesoscopic localization of epidemics on networks
• Epidemic plateau in critical SIR dynamics with non-trivial initial conditions
• Master equation analysis of mesoscopic localization in contagion dynamics on higher-order networks
• Epidemic spreading on modular networks: The fear to declare a pandemic
• An infection process near criticality: Influence of the initial condition
• Bond percolation on a class of correlated and clustered random graphs
• Outbreaks in susceptible-infected-removed epidemics with multiple seeds
• Epidemic Spreading and Digital Contact Tracing: Effects of Heterogeneous Mixing and Quarantine Failures
• Random graphs with arbitrary clustering and their applications
• Insights into bootstrap percolation: Its equivalence with k-core percolation and the giant component
• Efficiency of prompt quarantine measures on a susceptible-infected-removed model in networks
• Rapid decay in the relative efficiency of quarantine to halt epidemics in networks
• An exact formula for percolation on higher-order cycles
• Susceptible-Infected Epidemics on Evolving Graphs

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• Effectiveness of Contact Tracing on Networks with Cliques
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