Characterizing Protection Effects on Network Epidemics driven by Random Walks

Resumo


Protection effects (PFx) denote protective measures taken by individuals (such as to wear masks and wash hands) upon their risk-perception towards an ongoing epidemic outbreak. The holistic force produced may fundamentally change the course of a spreading, with respect to both its reach and duration. This work proposes a model for PFx on network epidemics where nodes are sites mobile-agents may visit. Risk aversion is encoded as random-walks biased to safe sites. Assuming the network is a complete graph, the model is analyzed and framed as a classical SIS. We find a regime under which PFx preclude endemic steady-states upon arbitrarily large rates for both walk and transmissibility. Simulation results support our theoretical findings.

Palavras-chave: epidemia em redes, efeito de proteção, passeios aleatórios, modelos epidêmicos

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Publicado
30/06/2020
SOUZA, Ronald; FIGUEIREDO, Daniel. Characterizing Protection Effects on Network Epidemics driven by Random Walks. In: WORKSHOP EM DESEMPENHO DE SISTEMAS COMPUTACIONAIS E DE COMUNICAÇÃO (WPERFORMANCE), 19. , 2020, Cuiabá. Anais [...]. Porto Alegre: Sociedade Brasileira de Computação, 2020 . p. 97-108. ISSN 2595-6167. DOI: https://doi.org/10.5753/wperformance.2020.11109.