Cost Optimization in the SIS Model of Infectious Disease with Treatment

Steven Marc Goldman, University of California, Berkeley
James Lightwood, University of California, San Francisco

A BEJEAP Topics article.

Abstract

We consider the intertemporal social optimization problem of minimizing the present value of the costs incurred from both disease and treatment. Though the analysis is complicated by the analytical failure of concavity, we are able to substantially characterize both the long run equilibria and the adjustment paths. The cost minimizing program is shown to exhibit decreased levels of treatment at higher disease levels. The socially optimal program is compared to individually rational behavior and the inefficiencies in private behavior from the infection externality are shown to cause increases in the equilibrium rate of infection.

Submitted: July 16, 2001 · Accepted: March 3, 2002 · Published: April 24, 2002

Originally published in Topics in Economic Analysis & Policy.

Recommended Citation

Goldman, Steven Marc and Lightwood, James (2002) "Cost Optimization in the SIS Model of Infectious Disease with Treatment," Topics in Economic Analysis & Policy: Vol. 2 : Iss. 1, Article 4.
Available at: http://www.bepress.com/bejeap/topics/vol2/iss1/art4

 
 
 
 

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