English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

This paper is concerned with stochastic SIR and SEIR epidemic models onrandom networks in which individuals may rewire away from infected neighbors atsome rate $\omega$ (and reconnect to non-infectious individuals withprobability $\alpha$ or else simply drop the edge if $\alpha=0$), so-calledpreventive rewiring. The models are denoted SIR-$\omega$ and SEIR-$\omega$, andwe focus attention on the early stages of an outbreak, where we deriveexpression for the basic reproduction number $R_0$ and the expected degree ofthe infectious nodes $E(D_I)$ using two different approximation approaches. Thefirst approach approximates the early spread of an epidemic by a branchingprocess, whereas the second one uses pair approximation. The expressions arecompared with the corresponding empirical means obtained from stochasticsimulations of SIR-$\omega$ and SEIR-$\omega$ epidemics on Poisson andscale-free networks. Without rewiring of exposed nodes, the two approachespredict the same epidemic threshold and the same $E(D_I)$ for both types ofepidemics, the latter being very close to the mean degree obtained fromsimulated epidemics over Poisson networks. Above the epidemic threshold,pairwise models overestimate the value of $R_0$ computed from simulations,which turns out to be very close to the one predicted by the branching processapproximation. When exposed individuals also rewire with $\alpha > 0$ (perhapsunaware of being infected), the two approaches give different epidemicthresholds, with the branching process approximation being more in agreementwith simulations.

A network epidemic model with preventive rewiring: comparative analysis of the initial phase