The Optimal Control of Infectious Diseases via Prevention and Treatment
AbstractThis paper fully characterizes the optimal control of a recurrent infectious disease through the use of (non-vaccine) prevention and treatment. The dynamic system may admit multiple steady states and the optimal policy may be path dependent. We find that an optimal path cannot end at a point with maximal prevention; it is necessarily zero or at an intermediate level. In contrast, an optimal path must end at a point at which treatment is either maximal or minimal. We find that the comparative statics of the model may radically differ across steady states, which has important policy implications. Last, we consider the model with decentralized decision making and compare the equilibrium outcomes with the socially optimal outcomes. We find that steady state prevalence levels in decentralized equilibrium must be equal to or higher than the socially optimal levels. While steady state treatment levels under decentralization are typically socially optimal, steady state prevention (if used) is socially suboptimal.
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Bibliographic InfoPaper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 8925.
Date of creation: Apr 2012
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Find related papers by JEL classification:
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health
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- Telalagic, S., 2012. "Optimal Treatment of an SIS Disease with Two Strains," Cambridge Working Papers in Economics 1229, Faculty of Economics, University of Cambridge.
- Kiseleva, T. & Wagener, F.O.O., 2011. "Bifurcations of Optimal Vector Fields," CeNDEF Working Papers 11-05, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
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