SIR model of epidemic spread with accumulated exposure

European Physical Journal B

Volumn 67, Issue 3, 2009, Pages 377-383

  Dybiec, B ^a,b  

^a JAGIELLONIAN UNIVERSITY   (Poland)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

BISTABLE; EPIDEMIC SPREAD; LINEAR SCALING; MODEL PARAMETERS; NEW SOURCES; RANDOM CHARACTERS; RESONANT ACTIVATION; SIR MODEL; STATISTICAL PROPERTIES; SYSTEM SIZE;

EPIDEMIOLOGY;

EID: 66949144741     PISSN: 14346028     EISSN: 14346036     Source Type: Journal    
DOI: 10.1140/epjb/e2008-00435-y     Document Type: Article

References (26)

1. S. Wolfram, Rev. Mod. Phys. 55, 601 (1983)
2. S. Wolfram, A New Kind of Science (Wolfram Media, Champaign, IL, 2002)
3. C. Rhodes, R. Anderson, Theor. Popul. Biol. 52, 101 (1997)
4. B. Dybiec, A. Kleczkowski, C.A. Gilligan, Phys. Rev. E 70, 066145 (2004)
5. R.M. Anderson, R.M. May, Infectious Diseases of Humans: Dynamics and Control (Oxford University Press, Oxford, 1991)
6. E. Ahmed, H.N. Agiza, Physica A 253, 347 (1998)
7. N. Boccara, K. Cheong, J. Phys. A: Math. Gen. 26, 3707 (1993)
8. B. Dybiec, A. Kleczkowski, C.A. Gilligan, A. Phys. Pol. B 36, 1509 (2005)
9. A. Kleczkowski, B. Dybiec, C.A. Gilligan, A. Phys. Pol. B 37, 3017 (2006)
10. P. Grassberger, Math. Biosci. 63, 157 (1983)
11. S. Sadedin, B. Dybiec, G. Briscoe, Physica A 323, 715 (2003)
12. W. Feller, An introduction to Probability Theory and its Applications (John Wiley, New York, 1968)
13. A. Janicki, A. Weron, Simulation and Chaotic Behavior of α-Stable Stochastic Processes (Marcel Dekker, New York, 1994)
14. A. Weron, R. Weron, Lecture Notes in Phys. 457, 379 (1995)
15. R. Weron, Statist. Probab. Lett. 28, 165 (1996)
16. C. Dye, N. Gay, Science 300, 1884 (2003)
17. V. Colizza, A. Barrat, M. Barthelemy, A. Valleron, A. Vespignani, PLoS Med 4, e13 (2007)
18. C.R. Doering, J.C. Gadoua, Phys. Rev. Lett. 69, 2318 (1992)
19. B. Dybiec, E. Gudowska-Nowak, Phys. Rev. E 69, 016105 (2004)
20. L.M. Sander, C.P. Warren, I.M. Sokolov, C. Simon, J. Koopman, Math. Biosci. 180, 293 (2002)
21. D.J. Watts, S.H. Strogatz, Nature 393, 440 (1998)
22. R. Albert, A.L. Barabasi, Rev. Mod. Phys. 74, 47 (2002)
23. Q. Liu, Z. Jin, Chinese Phys. 14, 1370 (2005)
24. Z. Jin, Q. Liu, Chinese Phys. 15, 1248 (2006)
25. M. Keeling, Proc. R. Soc. B 266, 859 (1999)
26. M.J. Keeling, M.E.J. Woolhouse, D.J. Shaw, L. Matthews, M. Chase-Topping, D.T. Haydon, S.J. Cornell, J. Kappey, J. Wilesmith, B.T. Grenfell, Science 294, 813 (2001)