Anomalous diffusion and the structure of human transportation networks

European Physical Journal: Special Topics

Volumn 157, Issue 1, 2008, Pages 173-189

  Brockmann, D ^a  

^a MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 42649095172     PISSN: 19516355     EISSN: 19516401     Source Type: Journal    
DOI: 10.1140/epjst/e2008-00640-0     Document Type: Conference Paper

References (36)

1. J.M. Bullock, R.E. Kenward, R.S. Hails (eds.), Dispersal Ecology (Blackwell, Malden, Massachusetts, 2002)
2. J.D. Murray, Mathematical Biology (Springer-Verlag, Berlin, Heidelberg, New York, 1993)
3. J. Clobert, Dispersal (Oxford Univ. Press, Oxford, 2001)
4. K. Nicholson, R.G. Webster, Textbook of Influenza (Blackwell Publishing, Malden, MA, USA, 1998)
5. B.T. Grenfell, O.N. Bjornstadt, J. Kappey, Nature 414, 716 (2001)
6. 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)
7. L. Hufnagel, D. Brockmann, T. Geisel, Proc. Natl. Acad. Sci. USA 101, 15124 (2004)
8. N.C. Grassly, C. Fraser, G.P. Garnett, Nature 433, 417 (2005)
9. R.J. Webby, R.G. Webster, Science 302, 1519 (2003)
10. D. Brockmann, L. Hufnagel, T. Geisel SARS: A Case Study in Emerging Infections, edited by A. McLean, R. May, J. Pattison, R. Weiss (Oxford University Press, Oxford, 2005), p. 81
11. R.M. Anderson, R.M. May, B. Anderson, Infectious Diseases of Humans: Dynamics and Control (Oxford Univ. Press, USA, 1992)
12. D. Brockmann, L. Hufnagel, T. Geisel, Nature 439, 462 (2006)
13. M.F. Shlesinger, Lévy Flights and Related Topics in Physics (Springer Verlag, Berlin, 1995)
14. R. Metzler, J. Klafter, Phys. Rep.-Rev. Sect. Phys. Lett. 339, 1 (2000)
15. M. Kot, M.A. Lewis, P. vandenDriessche, Ecology 77, 2027 (1996)
16. C.W. Gardiner, Handbook of Stochastic Methods (Springer Verlag, Berlin, 1985)
17. W. Feller, An Introduction to Probability Theory and Its Application, Vol. I (Wiley, New York, 1968)
18. R.A. Fisher, Ann. Eugen. (1937)
19. W. Feller, An Introduction to Probability Theory and Its Application, Vol. 2 (Wiley, New York, 1971)
20. R. Nathan, G.G. Katul, H.S. Horn, S.M. Thomas, R. Oren, R. Avissar, S.W. Pacala, S.A. Levin Nature 418, 409 (2002)
21. M. Schoeder, Fractals, Chaos, Power Laws. Minutes from an Infinite Paradise (W.H. Freeman and Company, New York, 1991)
22. G.M. Viswanathan, S.V. Buldyrev, S. Havlin, M.G.E. da Luz, E.P. Raposo, H.E. Stanley, Nature 401, 911 (1999)
23. F. Bartumeus, F. Peters, S. Pueyo, C. Marrase, J. Catalan, Proc. Natl. Acad. Sci. USA 100, 12771 (2003)
24. A. Marell, J.P. Ball, A. Hofgaard, Canad. J. Zool.-Rev. Canad. Zool. 80, 854 (2002)
25. G.M. Viswanathan, V. Afanasyev, S.V. Buldyrev, E.J. Murphy, P.A. Prince, H.E. Stanley, Nature 381, 413 (1996)
26. G. Ramos-Fernandez, J.L. Mateos, O. Miramontes, G. Cocho, H. Larralde, B. Ayala-Orozco, Behav. Ecol. Sociobiol. 55, 223 (2004)
27. R.P.D. Atkinson, C.J. Rhodes, D.W. Macdonald, R.M. Anderson, Oikos 98, 134 (2002)
28. M.F. Shlesinger, G.M. Zaslavsky, U. Frisch (eds.), Lévy flights and Related Topics in Physics (Springer, Berlin, 1995)
29. D. Brockmann, T. Geisel, Phys. Rev. Lett. 90, 170601 (2003)
30. D. Brockmann, I.M. Sokolov, Chem. Phys. 284, 409 (2002)
31. T. Geisel, J. Nierwetberg, A. Zacherl, Phys. Rev. Lett. 54, 616 (1985)
32. M.F. Shlesinger, Nat. Phys. 2, 69 (2006)
33. M.F. Shlesinger, J. Klafter, Y.M. Wong, J. Stat. Phys. 27, 499 (1982)
34. E.W. Montroll, G.H. Weiss, J. Math. Phys. 6, 167 (1965)
35. A.I. Saichev, G.M. Zaslavsky, Chaos 7, 753 (1997)
36. C. Beck, E.G.D. Cohen, Phys. a-Stat. Mech. Appl. 322, 267 (2003)