Stochastic population oscillations in spatial predator-prey models

Journal of Physics: Conference Series

Volumn 319, Issue 1, 2011, Pages

  Täuber, Uwe C ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; INTELLIGENT SYSTEMS; MONTE CARLO METHODS; SOLVENTS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

ABSORBING-STATE PHASE TRANSITIONS; DIRECTED PERCOLATION; NONEQUILIBRIUM PHASE TRANSITIONS; POPULATION OSCILLATION; PREDATOR-PREY INTERACTION; RESONANT AMPLIFICATION; SPATIO-TEMPORAL STRUCTURES; STOCHASTIC POPULATION;

PREDATOR PREY SYSTEMS;

EID: 80053579768     PISSN: 17426588     EISSN: 17426596     Source Type: Conference Proceeding    
DOI: 10.1088/1742-6596/319/1/012019     Document Type: Conference Paper

References (44)

1. May R M 1973 Stability and complexity in model ecosystems, (Princeton: Princeton University Press)
2. Maynard Smith J 1974 Models in ecology (Cambridge: Cambridge University Press)
3. Hofbauer J and Sigmund K 1998 Evolutionary games and population dynamics (Cambridge: Cambridge University Press)
4. Murray J D 2002 Mathematical biology, Vols. I and II (New York: Springer, 3rd ed.)
5. Durrett R 1999 SIAM Review 41 677
6. Matsuda H, Ogita N, Sasaki A and Sato K 1992 Prog. Theor. Phys. 88 1035
7. Satulovsky J E and Tomé T 1994 Phys. Rev. E 49 5073
8. Boccara N, Roblin O and Roger M 1994 Phys. Rev. E 50 4531
9. Mobilia M, Georgiev I T and Täuber UC 2007 J. Stat. Phys. 128 447 [doi: 10.1007/s10955-006-9146-3]
10. Provata A, Nicolis G and Baras F 1999 J. Chem. Phys. 110 8361
11. Rozenfeld A F and Albano E V 1999 Physica A 266 322
12. Lipowski A 1999 Phys. Rev. E 60 5179
13. Lipowski A and Lipowska D 2000 Physica A 276 456
14. Monetti R, Rozenfeld A F and Albano E V 2000 Physica A 283 52
15. Droz M and Pȩkalski A 2001 Phys. Rev. E 63 051909
16. Antal T and Droz M 2001 Phys. Rev. E 63 056119
17. Kowalik M, Lipowski A and Ferreira A L 2002 Phys. Rev. E 66 066107
18. McKane A J and Newman T J 2005 Phys. Rev. Lett. 94 218102
19. Parker M and Kamenev A 2009 Phys. Rev. E 80 021129
20. Dunbar S R 1983 J. Math. Biol. 17 11
21. Sherratt J, Eagen B T and Lewis M A 1997 Phil. Trans. R. Soc. Lond. B 352 21
22. De Aguiar M A M, Rauch A M and Bar-Yam Y 2004 J. Stat. Phys. 114 1417
23. Monte Carlo simulation movies are available at http://www.phys.vt.edu/ ~tauber/PredatorPrey/movies/
24. Washenberger M J, Mobilia M and Täuber UC 2007 J. Phys. Condens. Matter 19 065139 [doi: 10.1088/0953-8984/19/6/065139]
25. Mobilia M, Georgiev I T and Täuber U C 2006 Phys. Rev. E 73, 040903(R)
26. Dobramysl U and Täuber U C 2008 Phys. Rev. Lett. 101, 258102
27. Janssen H K 1981 Z. Phys. B 42 151
28. Grassberger P 1982 Z. Phys. B 47 365
29. Hinrichsen H 2000 Adv. Phys. 49 815
30. Janssen H K 2001 J. Stat. Phys. 103 801
31. Ódor G 2004 Rev. Mod. Phys. 76 663
32. Janssen H K and Täuber U C 2005 Ann. Phys. 315 147
33. Doi M 1976 J. Phys. A: Math. Gen. 9 1465
34. Grassberger P and Scheunert P 1980 Fortschr. Phys. 28 547
35. Peliti L 1985 J. Phys. (France) 46 1469; 1479
36. Mattis D C and Glasser M L 1998 Rev. Mod. Phys. 70 979
37. Täuber U C, Howard M and Vollmayr-Lee B P 2005 J. Phys. A: Math. Gen. 38 R79
38. Van Wijland F 2001 Phys. Rev. E 63 022101
39. Obukhov S P 1980 Physica A 101 145
40. Cardy J L and Sugar R L 1980 J. Phys. A: Math. Gen. 13 L423
41. Butler T and Reynolds D 2009 Phys. Rev. E 79 032901
42. Täuber U C 2011 manuscript in preparation
43. He Q, Mobilia M and Täuber U C 2010 Phys. Rev. E 82 051909
44. He Q, Mobilia M and Täuber U C 2011 Eur. Phys. J. B in press