A workplace contact network is modelled as an Erdos-Renyi random graph with mean degree

PHYSICS · Multi-part · Fermi University Physics · Thermal, Statistical & Complex Systems · Complex and collective systems · Complex and collective systems

Many Parts, One Behaviour, Ch Epidemics on networks

Problem

\langle k\rangle = 6

. An infection has transmission rate

\beta = 0.05\ \mathrm{day^{-1}}

per contact and a constant recovery rate

\mu = 0.2\ \mathrm{day^{-1}}

. ((a)) Find the transmissibility

T

of one edge. ((b)) Find the epidemic threshold

T_{\rm c}

of the network in the locally tree-like approximation. ((c)) State whether a single case is expected to be able to start a major outbreak, giving the reason.

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