Optimal vaccination policies for stochastic epidemics among a population of households.

Epidemics among a Population of Households

This paper considers SIR and SIS epidemics among a population partitioned into households. This heterogeneity has important implications for the threshold behaviour of epidemics and optimal vaccination strategies. It is shown that taking into account household structures when modelling public health problems is valuable. An overview of households models is given, including a determination of th...

Stochastic multitype epidemics in a community of households: estimation of threshold parameter R and secure vaccination coverage

This paper is concerned with a stochastic model for the spread of an SIR (susceptible ! infective ! removed) epidemic among a closed, nite population that contains several types of individuals and is partitioned into households. Previously obtained probabilistic and inferential results for the model are used to estimate the threshold parameter R , which determines whether or not a major outbrea...

Stochastic multitype epidemics in a community of households: estimation and form of optimal vaccination schemes.

This paper treats a stochastic model for an SIR (susceptible-->infective-->removed) multitype household epidemic. The community is assumed to be closed, individuals are of different types and each individual belongs to a household. Previously obtained probabilistic and inferential results for the model are used to derive the optimal vaccination scheme. By this is meant the scheme that vaccinate...

Quantitative Determination Of Optimal Fiscal And Monetary Policies: A Stochastic Optimal Control Analysis For Iran

Finding Optimal Vaccination Strategies under Uncertainty using Stochastic Programming

We present a stochastic programming formulation for finding the optimal vaccination policy for preventing infectious disease epidemics. Stochastic programming is a popular framework for including the effects of parameter uncertainty in a mathematical optimization model. The problem is formulated with probabilistic constraints to find the minimum cost vaccination policy with the constraint that ...