Population extinction risk in the aftermath of a catastrophic event

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

Volumn 79, Issue 1, 2009, Pages

  Assaf, Michael ^a   Kamenev, Alex ^b   Meerson, Baruch ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; DISASTERS; FUNCTION EVALUATION; GEOMETRICAL OPTICS; PROBABILITY DISTRIBUTIONS;

ANALYTIC SOLUTIONS; BIFURCATION POINTS; CATASTROPHIC EVENTS; EIKONAL; EIKONAL APPROXIMATIONS; EIKONAL EQUATIONS; EXTINCTION PROBABILITIES; EXTINCTION RISKS; HAMILTONIAN SYSTEMS; INSTANTON; LOGISTIC MODELS; MASTER EQUATIONS; NUMERICAL SOLUTIONS; OPTIMAL PATHS; PROBABILITY GENERATING FUNCTIONS; SIMPLE MODELS; STOCHASTIC POPULATIONS; TIME-DEPENDENT HAMILTONIANS; VERHULST; VERHULST MODELS;

HAMILTONIANS;

EID: 60949101775     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.011127     Document Type: Article

References (27)

1. Population Viability Analysis, edited by, S. R. Beissinger, and, D. R. McCullough, (University of Chicago Press, Chicago, 2002).
2. C. W. Gardiner, Handbook of Stochastic Methods (Springer-Verlag, Berlin, 2004).
3. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 2001).
4. V. Elgart and A. Kamenev, Phys. Rev. E 70, 041106 (2004). 10.1103/PhysRevE.70.041106
5. M. Assaf and B. Meerson, Phys. Rev. Lett. 97, 200602 (2006). 10.1103/PhysRevLett.97.200602
6. M. Assaf and B. Meerson, Phys. Rev. E 75, 031122 (2007). 10.1103/PhysRevE.75.031122
7. L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory (Pergamon, London, 1977), Chap..
8. B. Gaveau, M. Moreau, and J. Tòth, Lett. Math. Phys. 37, 285 (1996).
9. C. R. Doering, K. V. Sargsyan, and L. M. Sander, Multiscale Model. Simul. 3, 283 (2005). 10.1137/030602800
10. G. H. Weiss and M. Dishon, Math. Biosci. 11, 261 (1971). 10.1016/0025-5564(71)90087-3
11. A. D. Barbour, Adv. Appl. Probab. 8, 296 (1976). 10.2307/1425906
12. I. Oppenheim, K. E. Shuler, and G. H. Weiss, Physica A 88, 191 (1977). 10.1016/0378-4371(77)90001-2
13. R. J. Kryscio and C. Lefèvre, J. Appl. Probab. 26, 685 (1989). 10.2307/3214374
14. I. Nåsell, J. Theor. Biol. 211, 11 (2001). 10.1006/jtbi.2001.2328
15. V. Elgart and A. Kamenev, Phys. Rev. E 74, 041101 (2006). 10.1103/PhysRevE.74.041101
16. M. Assaf and B. Meerson, Phys. Rev. E 74, 041115 (2006). 10.1103/PhysRevE.74.041115
17. A. Kamenev and B. Meerson, Phys. Rev. E 77, 061107 (2008). 10.1103/PhysRevE.77.061107
18. M. I. Freidlin and A. D. Wentzell, Random Perturbations of Dynamical Systems (Springer-Verlag, New York, 1984).
19. R. Graham, Noise in Nonlinear Dynamical Systems, edited by, F. Moss, and, P. V. E. McClintock, (Cambridge University Press, Cambridge, England, 1989).
20. M. I. Dykman, E. Mori, J. Ross, and P. M. Hunt, J. Chem. Phys. 100, 5735 (1994). 10.1063/1.467139
21. M. Dykman, I. B. Schwartz, and A. S. Landsman, Phys. Rev. Lett. 101, 078101 (2008). 10.1103/PhysRevLett.101.078101
22. I. Nåsell, Math. Biosci. 179, 1 (2002). 10.1016/S0025-5564(02) 00098-6
23. O. A. van Herwaarden, J. Math. Biol. 35, 793 (1997). 10.1007/ s002850050077
24. I. Nåsell, J. R. Stat. Soc. Ser. B (Stat. Methodol.) 61, 309 (1999). 10.1111/1467-9868.00178
25. C. Escudero and J. Á. Rodríguez, Phys. Rev. E 77, 011130 (2008). 10.1103/PhysRevE.77.011130
26. M. Assaf, A. Kamenev, and B. Meerson, Phys. Rev. E 78, 041123 (2008). 10.1103/PhysRevE.78.041123
27. A. Kamenev, B. Meerson, and B. Shklovskii, Phys. Rev. Lett. 101, 268103 (2008). 10.1103/PhysRevLett.101.268103