Influence of time delay on stochastic resonance in the tumor cell growth model

Modern Physics Letters B

Volumn 22, Issue 28, 2008, Pages 2759-2767

  Cai, Jianchun ^a   Mei, Dongcheng ^a  

^a YUNNAN UNIVERSITY   (China)

Author keywords

Stochastic resonance; Time delay; Tumor cell growth model

Indexed keywords

EID: 56849087674     PISSN: 02179849     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217984908017291     Document Type: Article

References (29)

1. A. Longtin, J. G. Milton, J. E. Bos and M. C. Mackey, Phys. Rev. A 41 (1990) 6992.
2. S. Guillouzic, I. L'Heureux and A. Longtin, Phys. Rev. E 59 (1999) 3970.
3. S. Guillouzic, I. L'Heureux and A. Longtin, Phys. Rev. E 61 (2000) 4906.
4. T. D. Frank and P. J. Beek, Phys. R.ev. E 64 (2001) 021917.
5. L. R. Nie and D. C. Mei, Chin. Phys. Lett. 24 (2007) 3074.
6. M. Feito and F. J. Cao, Phys. Rev. E 76 (2007) 061113.
7. P. Tass, J. Kurths, M. G. Rosenblum, G. Guasti and H. Hefter, Phys. Rev. E 54 (1996) R2224.
8. C. W. Eurich and J. G. Milton, Phys. Rev. E 54 (1996) 6681.
9. S. H. Park, S. Kim, H. Pyo and S. Lee, Phys. Bev. E 60 (1999) 4962.
10. J. L. Cabrera and J. G. Milton, Phys. B.ev. Lett. 89 (2002) 158702.
11. M. Rosenblum and A. Pikovsky, Phys. R.ev. E 70 (2004) 041904.
12. L. R. Nie and D. C. Mei, Europhys. Lett. 79 (2007) 20005.
13. G. Q. Cai and Y. K. Lin, Phys. Rev. E 76 (2007) 041913.
14. D. C. Mei, C. W. Xie and L. Zhang, Eur. Phys. J. B 41 (2004) 107.
15. J. C. Panetta, Appl. Math. Lett. 8 (1995) 83.
16. A. Lipowski and D. Lipowska, J. Phys. A 276 (2000) 456.
17. B. Q. Ai, X. J. Wang, G. T. Liu and L. G. Liu, Phys. Rev. E 67 (2003) 022903.
18. W. R. Zhong, Y. Z, Shao and Z. H. He, Phys. R.ev. E 73 (2006) 060902(R).
19. J. M. Gushing, Integrodifferential Equations and Delay Models in Population Dynamics, Lecture Notes in Biomathematics, Vol. 20 (Springer-Verlag, New York, 1977).
20. A. A. Budini and M. O. Cáceres, Phys. R.ev. E 70 (2004) 046104.
21. D. J. Wu, L. Cao and S. Z. Ke, Phys. R.ev. E 50 (1994) 2496.
22. T. D. Frank, Phys. Rev. E 72 (2005) 011112.
23. G. W. Gardiner, Handbook of Stochastic Methods, Springer Series in Synergetics, Vol. 13 (Springer-Verlag, Berlin, 1983).
24. E. Guardia and M. San Miguel, Phys. Lett. A 109 (1985) 9.
25. Y. Jia and J. R. Li, Phys. Rev. E 53 (1996) 5764.
26. Y. Jia, S. M. Yu and J. R. Li, Phys. R.ev. E 62 (2000) 1869.
27. Q. Liu and Y. Jia, Phys. R.ev. E 70 (2004) 041907.
28. B. McNamara and K. Wiesenfeld, Phys. R.ev. A 39 (1989) 4854.
29. A. J. R. Madureira, P. Hanggi and H. S. Wio, Phys. Lett. A 217 (1996) 248.