Effects of local and global network connectivity on synergistic epidemics

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
David Broder-RodgersSergei N Taraskin

Abstract

Epidemics in networks can be affected by cooperation in transmission of infection and also connectivity between nodes. An interplay between these two properties and their influence on epidemic spread are addressed in the paper. A particular type of cooperative effects (called synergy effects) is considered, where the transmission rate between a pair of nodes depends on the number of infected neighbors. The connectivity effects are studied by constructing networks of different topology, starting with lattices with only local connectivity and then with networks that have both local and global connectivity obtained by random bond-rewiring to nodes within a certain distance. The susceptible-infected-removed epidemics were found to exhibit several interesting effects: (i) for epidemics with strong constructive synergy spreading in networks with high local connectivity, the bond rewiring has a negative role in epidemic spread, i.e., it reduces invasion probability; (ii) in contrast, for epidemics with destructive or weak constructive synergy spreading on networks of arbitrary local connectivity, rewiring helps epidemics to spread; (iii) and, finally, rewiring always enhances the spread of epidemics, independent of synergy, if the loc...Continue Reading

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Citations

Feb 3, 2018·Chaos·Jonas S Juul, Mason A Porter
May 17, 2017·Physical Review. E·Quan-Hui LiuYing-Cheng Lai
Jun 17, 2018·Physical Review. E·Clara Granell, Peter J Mucha
Sep 19, 2020·Physical Review. E·Liang FengCangqi Zhou
Feb 18, 2017·Physical Review. E·Michael Golosovsky, Sorin Solomon
Apr 21, 2020·Physics Reports·Wei WangTao Zhou

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