Noise and time delay: Suppressed population explosion of the mutualism system

EPL

Volumn 79, Issue 2, 2007, Pages

  Nie, L R ^a,b   Mei, D C ^a  

^a YUNNAN UNIVERSITY   (China)

^b KUNMING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79051470425     PISSN: 02955075     EISSN: 12864854     Source Type: Journal    
DOI: 10.1209/0295-5075/79/20005     Document Type: Article

References (53)

1. Gammaitoni L., Hänggi P., Jung P. and Marchesoni F. 1998 Rev. Mod. Phys. 70 223
2. Zhong Wei-Rong, Shao Yuan-Zhi and He Zhen-Hui 2006 Phys. Rev. E 73 060902(R)
3. Agudov N. V. and Spagnolo B. 2001 Phys. Rev. E 64 035102(R)
4. Doering C. R. and Gadoua J. C. 1992 Phys. Rev. Lett. 69 2318
5. Horsthemke W. and Lefever R. 1984 Noise-induced Transitions (Berlin: Springer-Verlag)
6. Van den Broeck C., Parrondo J. M. R., Toral R. and Kawai R. 1997 Phys. Rev. E 55 4084
7. Garcia-Ojalvo J. and Sancho J. M. 1999 Noise in Spatially Extended Systems (New York: Springer-Verlag)
8. Julicher F. and Prost J. 1995 Phys. Rev. Lett. 75 2618
9. Mangioni S., Deza R., Wio H. S. and Toral R. 1997 Phys. Rev. Lett. 79 2389
10. dor G. 2003 Phys. Rev. E 67 056114
11. dor G. 2004 Rev. Mod. Phys. 76 663
12. dor G. 2004 Phys. Rev. E 69 036112
13. dor G. and Menyhrd N. 2006 Phys. Rev. E 73 036130
14. Kim S., Park S. H. and Ryu C. S. 1997 Phys. Rev. Lett. 78 1616
15. Hinrichsen H. and dor G. 1998 Phys. Rev. E 58 311
16. Hinrichsen H. and dor G. 1999 Phys. Rev. E 60 3842
17. Hinrichsen H. and dor G. 1999 Phys. Rev. Lett. 82 1205
18. Hinrichsen H. 2000 Adv. Phys. 49 815
19. Hinrichsen H. 2006 Physica A 369 1
20. Lai Ying-Cheng 2005 Phys. Rev. E 72 042901
21. Vilar José M. G. and Solé Ricard V. 1998 Phys. Rev. Lett. 80 4099
22. Spagnolo B., Valenti D. and Fiasconaro A. 2004 Discrete Contin. Dyn. Syst. 0 1
23. Spagnolo B., Fiasconaro A. and Valenti D. 2003 Fluct. Noise Lett. 3 L177
24. Mankin Romi, Sauga Ako, Ainsaar Ain, Haljas Astrid and Paunel Kristiina 2004 Phys. Rev. E 69 061106
25. Mankin R., Ainsaar A., Haljas A. and Reiter E. 2002 Phys. Rev. E 65 051108
26. Park S. H., Kim S., Pyo H. B. and Lee S. 1999 Phys. Rev. E 60 4962
27. Kim S., Park S. H. and Pyo H. B. 1999 Phys. Rev. Lett. 82 1620
28. Yeung M. K. Stephen and Strogatz Steven H. 1999 Phys. Rev. Lett. 82 648
29. Kim S., Park S. H. and Ryu C. S. 1997 Phys. Rev. Lett. 79 2911
30. Schuster H. G. and Wagner P. 1999 Prog. Theor. Phys. 81 939
31. Ramana Reddy D. V., Sen A. and Johnston G. L. 2000 Phys. Rev. Lett. 85 3381
32. Herrero R., Figueras M., Rius J., Pi F. and Orriols G. 2000 Phys. Rev. Lett. 84 5312
33. Masoller C., de S. Cavalcante Hugo L. D. and Rios Leite J. R. 2001 Phys. Rev. E 64 037202
34. Kori Hiroshi and Kuramoto Yoshiki 2001 Phys. Rev. E 63 046214
35. Konishi M. 1991 Neural Comput. 3 1
36. Longtin A., Bulsara A. and Moss F. 1991 Phys. Rev. Lett. 67 656
37. Collins J. J., Imhoff T. T. and Grigg P. 1997 Phys. Rev. E 56 923
38. Ohira Toru and Yamane Toshiyuki 2000 Phys. Rev. E 61 1247
39. Jiang Yu, Dong Shi-Hai and Lozada-Cassou M. 2004 Phys. Rev. E 69 056225
40. Huber D. and Tsimring L. S. 2003 Phys. Rev. Lett. 91 260601
41. Wu Dan and Zhu Shiqun 2006 Phys. Rev. E 73 051107
42. Patanarapeelert K., Frank T. D., Friedrich R., Beek P. J. and Tang I. M. 2006 Phys. Rev. E 73 021901
43. Volterra V. 1931 Leçons sur la théorie mathématique de la lutte pour la vie (Paris: Gauthier-Villars)
44. Goel N. S., Maitra S. C. and Montroll E. W. 1971 Rev. Mod. Phys. 43 231
45. Hofbauer J. and Zigmund K. 1988 The Theory of Evolution and Dynamical Systems (Cambridge: Cambridge University Press)
46. Lotka A. J. 1920 Proc. Natl. Acad. Sci. U.S.A. 6 410
47. Volterra V. 1926 Mem. Accad. Naz. Lincei Ser. 6 31
48. Bahar Arifah and Mao Xuerong 2004 J. Math. Anal. Appl. 292 364
49. Guillouzic Steve, L'Heureux Ivan and Longtin André 1999 Phys. Rev. E 59 3970
50. Guillouzic Steve, L'Heureux Ivan and Longtin André 2000 Phys. Rev. E 60 4906
51. Frank T. D. and Beek P. J. 2005 J. Stat. Mech. P10010
52. Frank T. D. 2005 Phys. Rev. E 72 011112
53. Frank T. D. 2005 Phys. Rev. E 71 031106