Universal behavior in a generalized model of contagion

Physical Review Letters

Volumn 92, Issue 21, 2004, Pages

  Dodds, Peter Sheridan ^a   Watts, Duncan J ^a,b  

^a Och Spine at New York Presbyterian Hospitals   (United States)

^b SANTA FE INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; INTERPOLATION; MATHEMATICAL MODELS; PHASE TRANSITIONS; PROBABILITY; TOPOLOGY;

BIOLOGICAL CONTAGION; COLLECTIVE DYNAMICS; MATHEMATICAL EPIDEMIOLOGY; MODEL OF CONTAGION;

EPIDEMIOLOGY;

BIOLOGICAL MODEL; DISEASE TRANSMISSION; EPIDEMIC;

DISEASE OUTBREAKS; DISEASE TRANSMISSION, INFECTIOUS; MODELS, BIOLOGICAL;

EID: 3142519922     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.92.218701     Document Type: Article

References (28)

1. N.T.J. Bailey, The Mathematical Theory of Infectious Diseases and Its Applications (Griffin, London, 1975), 2nd ed.
2. R. M. Anderson and R. M. May, Infectious Diseases of Humans: Dynamics and Control (Oxford University Press, Oxford, 1991).
3. F. Bass, Manage. Sci. 15, 215 (1969).
4. E. Rogers, The Diffusion of Innovations (Free Press, New York, 1995), 4th ed.
5. S. Bikhchandani, D. Hirshleifer, and I. Welch, J. Polit. Econ. 100, 992 (1992).
6. A.V. Banerjee, Quart J. Econ. 107, 797 (1992).
7. S. Bikhchandani, D. Hirshleifer, and I. Welch, J. Econ. Perspect 12, 151 (1998).
8. S. Lohmann, World Politics 47, 42 (1994).
9. M. Granovetter, Am. J. Sociol. 83, 1420 (1978).
10. J. D. Murray, Mathematical Biology (Springer, New York, 2002), 3rd ed
11. SIR stands for the three states - susceptible, infected, and removed - through which individuals can pass.
12. S. Morris, Rev. Econ. Stud. 67, 57 (2000).
13. T.C. Schelling, J. Conflict Resolut. 17, 381 (1973).
14. N. S. Glance and B. A. Huberman, J. Math. Sociol. 17, 281 (1993).
15. W. B. Arthur and D. Lane, Struct. Change Econ. Dynam. 4, 81 (1993).
16. S. N. Durlauf, Sociol. Methodol. 31, 47 (2001).
17. C. N. Haas, Risk Analysis 22, 455 (2002).
18. D. J. Watts, Proc. Natl. Acad. Sci. 99, 5766 (2002).
19. R. Pastor-Satorras and A. Vespignani, Phys. Rev. Lett. 86, 3200 (2001).
20. M. Kuperman and G. Abramson, Phys. Rev. Lett. 86, 2909 (2001).
21. SIS refers to models in which removed individuals immediately become susceptible; hence, susceptible-infected-susceptible.
22. The model possesses no periodic or chaotic solutions.
23. P. S. Dodds and D. J. Watts (to be published).
24. S. H. Strogatz, Nonlinear Dynamics and Chaos (Addison-Wesley, Reading, Massachusetts, 1994).
25. N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, New York, 1992).
26. T.C. Schelling, Micromotives and Macrobehavior (Norton, New York, 1978).
27. J.T. Kemper, Math. Biosci. 48, 111 (1980).
28. J.M. Hyman, J. Li, and E.A Stanley, Math. Biosci. 181, 17 (2003).