Epidemic processes with immunization

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

Volumn 68, Issue 3 2, 2003, Pages 361031-3610311

  Jiménez Dalmaroni, Andrea ^a   Hinrichsen, Haye ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY OF WUPPERTAL   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; IMMUNIZATION; INTEGRAL EQUATIONS; PHASE DIAGRAMS; PHASE TRANSITIONS; PROBABILITY;

EPIDEMIC PROCESSES;

IMMUNOLOGY;

EID: 0242663635     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (42)

1. D. Mollison, J. R. Stat. Soc. Ser. B. Methodol. 39, 283 (1977).
2. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1999).
3. H. Hinrichsen, Adv. Phys. 49, 815 (2000).
4. H.K. Janssen, Z. Phys. B: Condens. Matter 42, 151 (1981).
5. P. Grassberger, Z. Phys. B: Condens. Matter 47, 365 (1982).
6. R.M. Ziff, E. Gulari, and Y. Barshad, Phys. Rev. Lett. 56, 2553 (1986).
7. P. Grassberger and A. De la Torre, Ann. Phys. (N.Y.) 122, 373 (1979).
8. F. Schlögl, Z. Phys. 253, 147 (1972).
9. L.H. Tang and H. Leschhorn, Phys. Rev. A 45, R8309 (1992).
10. S.V. Buldyrev, A.-L. Barabási, F. Caserta, S. Havlin, H.E. Stanley, and T. Vicsek, Phys. Rev. A 45, R8313 (1992).
11. P. Rupp, R. Richter, and I. Rehberg, Phys. Rev. E 67, 036209 (2003).
12. H. Hinrichsen, A. Jiménez-Dalmaroni, Y. Rozov, and E. Domany, Phys. Rev. Lett. 83, 4999 (1999); J. Stat. Phys. 98, 1149 (2000).
13. H. Hinrichsen, A. Jiménez-Dalmaroni, Y. Rozov, and E. Domany, Phys. Rev. Lett. 83, 4999 (1999); J. Stat. Phys. 98, 1149 (2000).
14. P.K. Mohanty and Deepak Dhar, Phys. Rev. Lett. 89, 104303 (2002).
15. A.S. Perelson and G. Weisbuch, Rev. Mod. Phys. 69, 1219 (1997).
16. J.L. Cardy, J. Phys. A 16, L709 (1983).
17. J.L. Cardy and P. Grassberger, J. Phys. A 18, L267 (1985).
18. H.K. Janssen, Z. Phys. B: Condens. Matter 58, 311 (1985).
19. P. Grassberger, H. Chaté, and G. Rousseau, Phys. Rev. E 55, 2488 (1997).
20. M.A. Muñoz, G. Grinstein, and R. Dickman, J. Stat. Phys. 91, 541 (1998).
21. Z. Alexandrowicz, Phys. Lett. 80A, 284 (1980).
22. I. Jensen and R. Dickman, Phys. Rev. E 48, 1710 (1993).
23. J.F.F. Mendes, R. Dickman, M. Henkel, and M.C. Marques, J. Phys. A 27, 3019 (1994).
24. R. Dickman, Phys. Rev. E 53, 2223 (1996).
25. M.A. Muñoz, G. Grinstein, R. Dickman, and R. Livi, Phys. Rev. Lett. 76, 451 (1996).
26. C. Lopez and M. Muñoz, Phys. Rev. E 56, 4864 (1997).
27. M.A. Muñoz, G. Grinstein, R. Dickman, and R. Livi, Physica D 103, 485 (1997).
28. W. Hwang and H. Park, Phys. Rev. E 59, 4683 (1999).
29. F. van Wijland, Phys. Rev. Lett. 89, 190602 (2002).
30. P. Grassberger and K. Sundermeyer, Phys. Lett. B 77, 220 (1978).
31. J.L. Cardy and R.L. Sugar, J. Phys. A 13, L432 (1980).
32. D. Amit, Field Theory, the Renormalization Group, and Critical Phenomena (World Scientific, Singapore, 1984).
33. P. Fröjdh, M. Howard, and K.B. Lauritsen, Int. J. Mod. Phys. B 15, 1761 (2001), and references therein.
34. R. Dickman and D. ben-Avraham, Phys. Rev. E 64, 020102(R) (2001); R. Dickman and D. ben-Avraham, e-print cond-mat/0304292.
35. R. Dickman and D. ben-Avraham, Phys. Rev. E 64, 020102(R) (2001); R. Dickman and D. ben-Avraham, e-print cond-mat/0304292.
36. I. Jensen, Phys. Rev. Lett. 77, 4988 (1996).
37. P. Grassberger, Comput. Phys. Commun. 147, 64 (2002).
38. H. Hinrichsen and H.M. Koduvely, Eur. Phys. J. B 5, 257 (1998).
39. K. Oerding and F. van Wijland, J. Phys. A 31, 7011 (1998).
40. For a review, see S.N. Majumdar, Curr. Sci. 77, 370 (1999).
41. J.-P. Bouchaud and A. Georges, Phys. Rep. 195, 127 (1990).
42. I. Jensen, Phys. Rev. Lett. 70, 1465 (1993).