Phase transitions induced by variation of invasion rates in spatial cyclic predator-prey models with four or six species

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

Volumn 77, Issue 1, 2008, Pages

  Szabó, György ^a   Szolnoki, Attila ^a  

^a RESEARCH INSTITUTE FOR TECHNICAL PHYSICS AND MATERIALS SCIENCE   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; PHASE TRANSITIONS; SYSTEMS ANALYSIS;

FROZEN DISTRIBUTION; INVASION RATES; SQUARE LATTICES;

CRYSTAL LATTICES;

EID: 38349103957     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.011906     Document Type: Article

References (20)

1. R. Durrett and S. Levin, Theor. Popul. Biol. 53, 30 (1998). 0040-5809
2. C. R. Johnson and I. Seinen, Proc. R. Soc. London, Ser. B PRLBA4 0962-8452 10.1098/rspb.2001.1948 269, 655 (2002).
3. G. Szabó and G. Fáth, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2007.04.004 446, 97 (2007).
4. J. Hofbauer and K. Sigmund, Evolutionary Games and Population Dynamics (Cambridge University Press, Cambridge, U.K., 1998).
5. A. Traulsen and J. C. Claussen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.046128 70, 046128 (2004).
6. L. Frachebourg, P. L. Krapivsky, and E. Ben-Naim, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.6186 54, 6186 (1996).
7. L. Frachebourg and P. L. Krapivsky, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/31/15/001 31, L287 (1998).
8. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, U.K., 1999).
9. G. Szabó, A. Szolnoki, and R. Izsák, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/7/006 37, 2599 (2004).
10. K. Sato, N. Konno, and T. Yamaguchi, Mem. Muroran Inst. Tech. 47, 109 (1997).
11. K. Tainaka, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(93)90923-N 176, 303 (1993).
12. M. Frean and E. D. Abraham, Proc. R. Soc. London, Ser. B PRLBA4 0962-8452 10.1098/rspb.2001.1670 268, 1323 (2001).
13. K. Sato, N. Yoshida, and N. Konno, Appl. Math. Comput. AMHCBQ 0096-3003 10.1016/S0096-3003(00)00155-7 126, 255 (2002).
14. T. M. Liggett, Interacting Particle Systems (Springer-Verlag, New York, 1985).
15. P. Grassberger, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01313803 47, 365 (1982).
16. I. Jensen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1465 70, 1465 (1993).
17. H. Hinrichsen, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730050198152 49, 815 (2000).
18. G. Szabó, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/30/005 38, 6689 (2005).
19. G. Szabó and G. A. Sznaider, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.031911 69, 031911 (2004).
20. G. Szabó, A. Szolnoki, and G. A. Sznaider, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.051921 76, 051921 (2007).