The Dynamics of Economic Epidemiology Equilibria

In this paper, we investigate the nature of rational expectations equilibria for economic epidemiological models. Unlike mathematical epidemiological models, economic epidemiological models can produce regions of indeterminacy or instability around the endemic steady state. We consider SI, SIS, SIR and SIRS versions of economic compartmental models and show how well-intentioned public policy may contribute to disease instability and uncertainty.

[1]  Robert M. Wachter,et al.  Private Choices and Public Health: The AIDS Epidemic in an Economic Perspective , 1994 .

[2]  L. Allen Some discrete-time SI, SIR, and SIS epidemic models. , 1994, Mathematical biosciences.

[3]  R. May,et al.  Infectious Diseases of Humans: Dynamics and Control , 1991, Annals of Internal Medicine.

[4]  M. Auld,et al.  Choices, beliefs, and infectious disease dynamics. , 2003, Journal of health economics.

[5]  N. Grassly,et al.  Host immunity and synchronized epidemics of syphilis across the United States , 2005, Nature.

[6]  A. King,et al.  Contact Network Structure Explains the Changing Epidemiology of Pertussis , 2010, Science.

[7]  Roger E. A. Farmer,et al.  Indeterminacy and sunspots in macroeconomics , 1999 .

[8]  M. Kremer Integrating Behavioral Choice into Epidemiological Models of AIDS , 1996 .

[9]  Charles M. Kahn,et al.  THE SOLUTION OF LINEAR DIFFERENCE MODELS UNDER RATIONAL EXPECTATIONS , 1980 .

[10]  Kevin J. Lansing,et al.  Indeterminacy and stabilization policy , 1998 .

[11]  Graeme C. Wake,et al.  Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models , 2002, Appl. Math. Lett..

[12]  I. Mihov,et al.  The Case for Restricting Fiscal Policy Discretion , 2002 .

[13]  P. Geoffard,et al.  Rational Epidemics and Their Public Control , 1996 .

[14]  E. Oster,et al.  Sexually Transmitted Infections, Sexual Behavior, and the HIV/AIDS Epidemic , 2005 .

[15]  J. Galí,et al.  Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory , 1998 .

[16]  E H Kaplan,et al.  Modeling HIV infectivity: must sex acts be counted? , 1990, Journal of acquired immune deficiency syndromes.

[17]  Andrei Korobeinikov,et al.  Lyapunov Functions and Global Stability for SIR and SIRS Epidemiological Models with Non-Linear Transmission , 2006, Bulletin of mathematical biology.