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Behavioral Epidemiology of Infectious Diseases: An Overview Read chapter Read first chapter

2013 | OriginalPaper | Chapter

Mathematical Epidemiology and Welfare Economics

Author : Mark Gersovitz

Published in: Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases

Publisher: Springer New York

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Abstract

Economics provides theories of private behavior and government policy that can be integrated with mathematical epidemiology, as illustrated in a susceptible-infected-susceptible model of infection. Confronting infections, people decide on prevention and therapy with regard to consequences for themselves but not for others, the economic concept of an externality. Public policy can optimally offset the externality by subsidizing prevention and therapy at equal rates (or less practically, taxing infection). Absent such interventions, seemingly beneficial changes such as a decreased cost of infection can perversely lower welfare by worsening the externality, the economic concept of immiserization. Other issues discussed include uniqueness and stability of the optimal steady state and its response to parameter changes.

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previous chapter The Economic Approach to Modeling Self-protective Behavior in Epidemiology
next chapter Modeling Influenza Vaccination Behavior via Inductive Reasoning Games
Footnotes
1
This chapter is not a survey of contributions by economists to the study of infectious diseases and does not undertake any literature review. Paper [3] provides such a survey and should be seen as a complement to this chapter.
 
2
Paper [6] mistakenly stated (pp.13–14 and Fig. 1c) that there could be a stable case with both isoclines negatively sloped and with the s-isocline more negatively sloped. This case would be stable were it possible, but it is impossible under the restrictions of the model as can be proved by careful collection of algebraic terms.
 
Literature
1.
Caputo, M.R.: Foundations of Dynamic Economic Analysis. Cambridge University Press, Cambridge (2005)MATH
2.
Gersovitz, M.: Births, recoveries, vaccinations and externalities. In: Arnott, R., Greenwald, B., Kanbur, R., Nalebuff, B. (eds.) Economics for an Imperfect World: Essays in Honor of Joseph E. Stiglitz. MIT Press, Cambridge (2003)
3.
4.
Gersovitz, M.: Infection Control and Uniqueness in a Model of Susceptible-Infected-Susceptible (SIS) Diseases, mimeo, Johns Hopkins University(2012)
5.
Gersovitz, M., Hammer, J.S.: The World Bank Res. Obser. 18, 129–57 (2003)CrossRef
6.
7.
Goldman, S. M., Lightwood, J.: Top. Econ. Anal. Policy 2, 1–22 (2002)
8.
Grass, D., Caulkins, J.P., Feichtinger, G., Tragler, G., Behrens, D.A.: Optimal Control of Nonlinear Processes: With Applications in Drugs, Corruption and Terror. Springer, Berlin (2008)MATHCrossRef
9.
Philipson, T.: Economic epidemiology and infectious diseases. In: Cuyler, A.J., Newhouse, J.P. (eds.) Handbook of Health Economics. North Holland, Amsterdam (2000)
Metadata
Title
Mathematical Epidemiology and Welfare Economics
Author
Mark Gersovitz
Copyright Year
2013
Publisher
Springer New York
Book
Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases

Print ISBN: 978-1-4614-5473-1

Electronic ISBN: 978-1-4614-5474-8

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-1-4614-5474-8_12

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