Instability of defensive alliances in the predator-prey model on complex networks

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

Volumn 72, Issue 4, 2005, Pages

  Kim, Beom Jun ^a   Liu, Jianbin ^a   Um, Jaegon ^b   Lee, Sung Ik ^b  

^a Ajou University   (South Korea)

^b Pohang University of Science and Technology (POSTECH)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

MUTAGENESIS; NEURAL NETWORKS; PHASE TRANSITIONS; PHYSIOLOGICAL MODELS; TOPOLOGY; TWO DIMENSIONAL;

INTERACTION TOPOLOGY; MEAN-FIELD LIMITS; MUTATION RATES; WATTS-STROGATZ MODELS;

ECOSYSTEMS;

ANIMAL; BIOLOGICAL MODEL; COMPUTER SIMULATION; COOPERATION; ECOSYSTEM; FOOD CHAIN; HUMAN; POPULATION DYNAMICS; PREDATION; SPECIES DIFFERENCE;

ANIMALS; COMPUTER SIMULATION; COOPERATIVE BEHAVIOR; ECOSYSTEM; FOOD CHAIN; HUMANS; MODELS, BIOLOGICAL; POPULATION DYNAMICS; PREDATORY BEHAVIOR; SPECIES SPECIFICITY;

EID: 33244473294     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.041906     Document Type: Article

References (20)

1. B. Kerr, M. A. Riley, M. W. Feldman, and B. J. M. Bohannan, Nature (London) NATUAS 0028-0836 10.1038/nature00823 418, 171 (2002).
2. L. Frachebourg, P. L. Krapivsky, and E. Ben-Naim, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.6186 54, 6186 (1996).
3. G. Szabó and T. Czárán, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.042902 64, 042902 (2001).
4. G. Szabó and T. Czárán, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.061904 63, 061904 (2001).
5. B. Sinervo and C. M. Lively, Nature (London) NATUAS 0028-0836 10.1038/380240a0 380, 240 (1996).
6. D. J. Watts and S. H. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/30918 393, 440 (1998).
7. M. E. J. Newman, SIAM Rev. SIREAD 0036-1445 10.1103/RevModPhys.74.47 45, 167 (2003);
8. R. Albert and A-L. Barabási, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.47 74, 47 (2002).
9. R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982);
10. C. J. Thompson, Classical Equilibrium Statistical Mechanics (Clarendon Press, Oxford, 1988).
11. K. Binder, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.47.693 47, 693 (1981);
12. K. Binder, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/60/5/001 60, 487 (1997).
13. P. Peczak, A. M. Ferrenberg, and D. P. Landau, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43.6087 43, 6087 (1991);
14. G. A. Baker, Jr. and N. Kawashima, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/29/22/018 29, 7183 (1996).
15. H. Hong, B. J. Kim, and M. Y. Choi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.018101 66, 018101 (2002);
16. B. J. Kim, H. Hong, P. Holme, G. S. Jeon, P. Minnhagen, and M. Y. Choi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.056135 64, 056135 (2001);
17. B. J. Kim, P. Minnhagen, S. K. Oh, and J. S. Chung, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.024406 64, 024406 (2001).
18. G. Szabó, A. Szolnoki, and R. Izsák, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/7/006 37, 2599 (2004);
19. A. Szolnoki and G. Szabó, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.037102 70, 037102 (2004).
20. The mean-field version of the RSP game was studied in M. Frean and E. R. Abraham, Proc. R. Soc. London, Ser. B PRLBA4 0962-8452 10.1098/rspb.2001.1670 268, 1323 (2001).