Extinction rates for fluctuation-induced metastabilities: A real-space WKB approach

Journal of Statistical Physics

Volumn 127, Issue 5, 2007, Pages 861-886

  Kessler, David A ^a   Shnerb, Nadav M ^a  

^a BAR ILAN UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34248153352     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-007-9312-2     Document Type: Article

References (21)

1. C. W. Gardiner, Handbook of Stochastic Methods (Springer, Berlin 1985).
2. G. V. Grimm and C. Wissel, Oicos 105:501 (2004).
3. P. Foley, Extinction models for local population. In: I. A. Hanski and M. E. Gilpin (eds.), Metapopulation Biology - Ecology, Genetics and Evolution, (Academic Press, London, 1997).
4. See, e.g., B. Drossel, Adv. Phys. 50:209 (2001) and references therein.
5. See, e.g., M. J. Keeling and B. T. Grenfell, Science 275:65 (1997);
6. M. Lipsitch et al. Science 300:1966 (2003);
7. J. O. Lloyd-Smith, S. J. Schreiber, P. E. Kopp, and W. M. Getz, Nature 438:355 (2005).
8. V. Elgart and A. Kamenev, Phys. Rev. E 70:41106 (2004).
9. C. R. Doering, K. V. Sargsyan, and L. M. Sander, Multi- scale Model. Simul. 3:283 (2005).
10. M. I. Dykman, E. Mori, J. Ross, and P. M. Hunt, J. Chem. Phys. 100:5735 (1994).
11. M. Assaf and B. Meerson, Phys. Rev. E 74:041115 (2006);
12. Phy. Rev. Lett. 97:200602 (2006).
13. S. P. Hubbell, The Unified Neutral Theory of Biodiversity and Biogeography (Princeton University Press, Princeton, NJ, 2001).
14. M. Doi, J. Phys. A 9:1465 (1976);
15. L. Peliti, J. Physique 36:1469 (1985).
16. J. L. Cardy and U. C. Tauber, Phys. Rev. Lett. 77:4780 (1996);
17. J. L. Cardy and U. C. Tauber, J. Stat. Phys. 90:1 (1998).
18. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1992).
19. C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (Springer, New York, 2005).
20. For details, see http://www.caam.rice.edu/software/ARPACK.
21. L. Pechenik and H. Levine, Phys. Rev. E 59:3893 (1999).