Ceddia, M Graziano (2010): Managing infectious diseases over connected populations: a non-convex optimal control.
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The paper develops an optimal control model to analyse various management options for infectious diseases that occur in metapopulations, under both Nash and cooperative behaviour. As pathogens are renewable resources with negative value, the problem may be non-convex. Since the disease can be transmitted across various connected populations, externalities are involved. Both aspects deserve attention as two issues arise: a) is eradication of the disease in finite time preferable to indefinite treatment? b) are cooperative solutions well-behaved? The problem is solved numerically and the results indicate that while eradication is likely to be an optimal strategy when initial levels of infections are relatively low, the internalisation of between-population externalities (as indicated by the first order necessary conditions of the cooperative optimal control problem) might not always be possible. Also, ignoring these two aspects can lead to inadequate policy design.
|Item Type:||MPRA Paper|
|Original Title:||Managing infectious diseases over connected populations: a non-convex optimal control|
|Keywords:||infectious diseases; metapopulation; non-convexities; optimal control|
|Subjects:||C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games
Q - Agricultural and Natural Resource Economics; Environmental and Ecological Economics > Q2 - Renewable Resources and Conservation > Q28 - Government Policy
C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods
C - Mathematical and Quantitative Methods > C6 - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C61 - Optimization Techniques; Programming Models; Dynamic Analysis
H - Public Economics > H0 - General > H00 - General
C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games
|Depositing User:||MG Ceddia|
|Date Deposited:||29. Apr 2010 00:19|
|Last Modified:||12. Feb 2013 11:41|
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