Epidemics with two levels of mixing
The authors develop a model for a SIR epidemic in which individuals mix at two levels: global and local. They investigate conditions under which an outbreak is possible and also the size of the outbreak. The main result is that local infectious contacts can have an amplification effect which can permit an outbreak to occur under conditions where a global homogeneous mixing model would not predict an outbreak. Threshold conditions are studied using branching approximations. They use their results to discuss vaccination strategies.
scientific article; zbMATH DE number 1014228