Nonlinear and dynamic programming for epidemic intervention
Applied Mathematics and Computation
The Mathematics of Infectious Diseases
SIAM Review
Proceedings of the 40th Conference on Winter Simulation
The capacity of wireless networks
IEEE Transactions on Information Theory
Cost-effectiveness analysis of vaccination and self-isolation in case of H1N1
Proceedings of the Winter Simulation Conference
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In this research, we identify optimal intervention strategies at the household level in case of an epidemic. We consider an affected household (a household with one initial infective member) and model the effect of different intervention policies, which involve vaccination, antiviral prophylaxis, isolation, and treatment, on disease spread using a variation of Kermack-McKendrick (KM) models. Both full and partial adherence to interventions are considered. An implementation cost is assumed for each intervention policy. We refer to a collection of intervention policies as an intervention strategy. A reward is associated with susceptible members who remain uninfected. We define the effect of the implemented intervention strategy as the total reward earned by all members over the time horizon. We then identify the most cost-effective intervention strategies. In addition, we incorporate a budgetary constraint for the household and find the efficient frontier for the total reward over different upper bounds on the household budget.