Ring vaccination strategy in networks: A mixed percolation approach

VASSALLO, LAUTARO; DI MURO, MATÍAS A.; SARKAR, DEBMALYA; VALDEZ, LUCAS D.; BRAUNSTEIN, LIDIA A.

Physical Review E

American Physical Society

Lugar: NY; Año: 2020 vol. 101

2470-0045

Ring vaccination is a mitigation strategy that consists in seeking and vaccinating the contacts of a sick patient,in order to provide immunization and halt the spread of disease. We study an extension of the susceptibleinfected-recovered (SIR) epidemic model with ring vaccination in complex and spatial networks. Previously, acorrespondence between this model and a link percolation process has been established, however, this is onlyvalid in complex networks. Here, we propose that the SIR model with ring vaccination is equivalent to a mixedpercolation process of links and nodes, which offers a more complete description of the process. We verify thatthis approach is valid in both complex and spatial networks, the latter being built according to the Waxmanmodel. This model establishes a distance-dependent cost of connection between individuals arranged in a squarelattice. We determine the epidemic-free regions in a phase diagram based on the wiring cost and the parametersof the epidemic model (vaccination and infection probabilities and recovery time). In addition, we find that forlong recovery times this model maps into a pure node percolation process, in contrast to the SIR model withoutring vaccination, which maps into link percolation.