Abstract-We consider the problem of controlling the propagation of an epidemic outbreak in an arbitrary contact network by distributing vaccination resources throughout the network. We analyze a networked version of the SusceptibleInfected-Susceptible (SIS) epidemic model when individuals in the network present different levels of susceptibility to the epidemic. In this context, controlling the spread of an epidemic outbreak can be written as a spectral condition involving the eigenvalues of a matrix that depends on the network structure and the parameters of the model. We study the problem of finding the optimal distribution of vaccines throughout the network to control the spread of an epidemic outbreak. We propose a convex framework to find costoptimal distribution of vaccination resources when different levels of vaccination are allowed. We illustrate our approaches with numerical simulations in a real social network.
Preciado et al. REF study the problem of finding the optimal distribution of vaccines based on an optimization framework under semidefinite programming constraint.
Optimal vaccine allocation to control epidemic outbreaks in arbitrary networks
52nd IEEE Conference on Decision and Control
52nd IEEE Conference on Decision and Control
Computer Science Mathematics Physics