Stochastic dynamics of cholera epidemics

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 81, Issue 5, 2010, Pages

  Azaele, Sandro ^a,b   Maritan, Amos ^c   Bertuzzo, Enrico ^d   Rodriguez Iturbe, Ignacio ^a   Rinaldo, Andrea ^c,d  

^a Princeton University   (United States)

^b UNIVERSITY OF LEEDS   (United Kingdom)

^c UNIVERSITY OF PADOVA   (Italy)

^d EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EMPIRICAL DATA; SEASONALITY; SIMPLE STOCHASTIC; SOUTH AFRICA; STOCHASTIC DYNAMICS; SUSCEPTIBLE-INFECTED-RECOVERED MODEL; TIME-SCALES;

EPIDEMIOLOGY; STOCHASTIC SYSTEMS;

STOCHASTIC MODELS;

EID: 77952028274     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.051901     Document Type: Article

References (33)

1. J. D. Murray, Mathematical Biology (Springer, Berlin, 2002), Vol. I, Chap..
2. H. W. Herthcote, in Lecture Notes in Biomathematics Vol. 100, edited by, S. A. Levin, (Springer-Verlag, Heidelberg, 1994), pp. 119-144.
3. R. M. Anderson and R. M. May, Infectious Diseases of Humans: Dynamics and Control (Oxford University Press, Oxford, 1992).
4. N. T. J. Bailey, The Mathematical Theory of Infectious Disease and its Applications (Griffin, London, 1975).
5. K. G. Kendall, Proceedings of the 5th Berkeley Symposium on Mathematical Statistics and Probabability, 1956, Vol. 4, p. 149 (unpublished)
6. P. Whittle, Biometrika 42, 116 (1955) 10.2307/2333427
7. D. Ludwig, J. Appl. Probab. 10, 263 (1973) 10.2307/3212344
8. D. Ludwig, SIAM Rev. 17, 605 (1975) 10.1137/1017070
9. J. Grasman, Math. Biosci. 152, 13 (1998). 10.1016/S0025-5564(98)10020-2
10. O. A. van Herwaarden and J. Grasman, J. Math. Biol. 33, 581 (1995). 10.1007/BF00298644
11. O. A. van Herwaarden, J. Math. Biol. 35, 793 (1997). 10.1007/ s002850050077
12. E. Bertuzzo, Water Resour. Res. 43, W04419 (2007). 10.1029/2006WR005533
13. E. Bertuzzo, Water Resour. Res. 44, W01424 (2007). 10.1029/2007WR006211
14. E. Bertuzzo, J.R. Soc., Interface 7, 321 (2010). 10.1098/rsif.2009.0204
15. M. Pascual, X. Rodó, S. P. Ellner, R. Colwell, and M. J. Bouma, Science 289, 1766 (2000). 10.1126/science.289.5485.1766
16. M. J. Bouma and M. Pascual, Hydrobiologia 460, 147 (2001). 10.1023/A:1013165215074
17. K. Koelle, X. Rodó, M. Pascual, Md. Yunus, and G. Mostafa, Nature (London) 436, 696 (2005). 10.1038/nature03820
18. I. B. Schwartz, J. Math. Biol. 30, 473 (1992). 10.1007/BF00160532
19. D. J. D. Earn, P. Rohani, B. M. Bolker, and B. T. Grenfell, Science 287, 667 (2000). 10.1126/science.287.5453.667
20. D. Alonso, A. J. McKane, and M. Pascual, J. R. Soc., Interface 4, 575 (2007). 10.1098/rsif.2006.0192
21. C. T. Codeço, BMC Inf., Dis. 1, 1 (2001). 10.1186/1471-2334-1-1
22. R. R. Colwell, Science 274, 2025 (1996). 10.1126/science.274.5295.2025
23. E. K. Lipp, A. Huq, and R. R. Colwell, Clin. Microbiol. Rev. 15, 757 (2002). 10.1128/CMR.15.4.757-770.2002
24. J. B. Kaper, J. G. Morris, and M. M. Levine, Clin. Microbiol. Rev. 8, 48 (1995).
25. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (Elsevier, New York, 2004).
26. J. C. Cox, G. E. Ingersoll, and S. A. Ross, Econometrica 53, 385 (1985). 10.2307/1911242
27. S. Azaele, S. Pigolotti, J. R. Banavar, and A. Maritan, Nature (London) 444, 926 (2006). 10.1038/nature05320
28. W. Feller, Ann. Math. 54, 173 (1951). 10.2307/1969318
29. K. Koelle and M. Pascual, Am. Nat. 163, 901 (2004). 10.1086/420798
30. N. N. Lebedev, Special Functions and their Applications (Dover, New York, 1972).
31. C. Mugero and A. Hoque, Review of Cholera Epidemic in South Africa with Focus on Kwazulu-Natal Province (Kwazulu-Natal Department of Health Report, Durban, 2001).
32. D. M. Hartley, J. G. Morris, Jr., and D. L. Smith, PLoS Med. 3, e7 (2006). 10.1371/journal.pmed.0030007
33. A. A. King, E. L. Ionides, M. Pascual, and M. J. Bouma, Nature (London) 454, 877 (2008). 10.1038/nature07084