-
1
-
-
0037062936
-
Local dispersal promotes biodiversity in a real-life game of rock-paper-scissors
-
DOI 10.1038/nature00823
-
B. Kerr, M. A. Riley, M. W. Feldman, and B. J. M. Bohannan, Nature (London) 418, 171 (2002). 10.1038/nature00823 (Pubitemid 34773769)
-
(2002)
Nature
, vol.418
, Issue.6894
, pp. 171-174
-
-
Kerr, B.1
Riley, M.A.2
Feldman, M.W.3
Bohannan, B.J.M.4
-
2
-
-
0037154213
-
Chemical warfare between microbes promotes biodiversity
-
DOI 10.1073/pnas.012399899
-
T. L. Czárán, R. F. Hoekstra, and L. Pagie, Proc. Natl. Acad. Sci. U.S.A. 99, 786 (2002). 10.1073/pnas.012399899 (Pubitemid 34106588)
-
(2002)
Proceedings of the National Academy of Sciences of the United States of America
, vol.99
, Issue.2
, pp. 786-790
-
-
Czaran, T.L.1
Hoekstra, R.F.2
Pagie, L.3
-
3
-
-
18044366176
-
Noise promotes species diversity in nature
-
DOI 10.1103/PhysRevLett.94.038102, 038102
-
Y.-C. Lai and Y.-R. Liu, Phys. Rev. Lett. 94, 038102 (2005). 10.1103/PhysRevLett.94.038102 (Pubitemid 40607334)
-
(2005)
Physical Review Letters
, vol.94
, Issue.3
, pp. 1-4
-
-
Lai, Y.-C.1
Liu, Y.-R.2
-
4
-
-
34548305141
-
Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games
-
DOI 10.1038/nature06095, PII NATURE06095
-
T. Reichenbach and E. Frey, Nature (London) 448, 1046 (2007). 10.1038/nature06095 (Pubitemid 47345589)
-
(2007)
Nature
, vol.448
, Issue.7157
, pp. 1046-1049
-
-
Reichenbach, T.1
Mobilia, M.2
Frey, E.3
-
5
-
-
34250617077
-
-
10.1016/j.physrep.2007.04.004
-
G. Szabó and G. Fáth, Phys. Rep. 446, 97 (2007). 10.1016/j.physrep.2007.04.004
-
(2007)
Phys. Rep.
, vol.446
, pp. 97
-
-
Szabó, G.1
Fáth, G.2
-
9
-
-
36849066945
-
Noise and correlations in a spatial population model with cyclic competition
-
DOI 10.1103/PhysRevLett.99.238105
-
T. Reichenbach, M. Mobilia, and E. Frey, Phys. Rev. Lett. 99, 238105 (2007). 10.1103/PhysRevLett.99.238105 (Pubitemid 350231924)
-
(2007)
Physical Review Letters
, vol.99
, Issue.23
, pp. 238105
-
-
Reichenbach, T.1
Mobilia, M.2
Frey, E.3
-
10
-
-
49149112519
-
-
10.1103/PhysRevLett.101.058102
-
T. Reichenbach and E. Frey, Phys. Rev. Lett. 101, 058102 (2008). 10.1103/PhysRevLett.101.058102
-
(2008)
Phys. Rev. Lett.
, vol.101
, pp. 058102
-
-
Reichenbach, T.1
Frey, E.2
-
12
-
-
43049143930
-
Self-organizing patterns maintained by competing associations in a six-species predator-prey model
-
DOI 10.1103/PhysRevE.77.041919
-
G. Szabó, A. Szolnoki, and I. Borsos, Phys. Rev. E 77, 041919 (2008). 10.1103/PhysRevE.77.041919 (Pubitemid 351630970)
-
(2008)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.77
, Issue.4
, pp. 041919
-
-
Szabo, G.1
Szolnoki, A.2
Borsos, I.3
-
13
-
-
77749263820
-
-
arXiv:1002.0516 (unpublished).
-
S. Venkat and M. Pleimling, arXiv:1002.0516 (unpublished).
-
-
-
Venkat, S.1
Pleimling, M.2
-
14
-
-
51849151589
-
-
10.1103/PhysRevE.78.031906
-
M. Peltomäki and M. Alava, Phys. Rev. E 78, 031906 (2008). 10.1103/PhysRevE.78.031906
-
(2008)
Phys. Rev. e
, vol.78
, pp. 031906
-
-
Peltomäki, M.1
Alava, M.2
-
16
-
-
60349108641
-
-
10.1103/PhysRevLett.102.048102
-
M. Berr, T. Reichenbach, M. Schottenloher, and E. Frey, Phys. Rev. Lett. 102, 048102 (2009). 10.1103/PhysRevLett.102.048102
-
(2009)
Phys. Rev. Lett.
, vol.102
, pp. 048102
-
-
Berr, M.1
Reichenbach, T.2
Schottenloher, M.3
Frey, E.4
-
19
-
-
38949107449
-
Cyclic dominance and biodiversity in well-mixed populations
-
DOI 10.1103/PhysRevLett.100.058104
-
J. C. Claussen and A. Traulsen, Phys. Rev. Lett. 100, 058104 (2008). 10.1103/PhysRevLett.100.058104 (Pubitemid 351230694)
-
(2008)
Physical Review Letters
, vol.100
, Issue.5
, pp. 058104
-
-
Claussen, J.C.1
Traulsen, A.2
-
20
-
-
24444476675
-
-
See, for example., 10.1016/0167-2789(85)90001-6
-
See, for example, S. W. McDonald, C. Grebogi, E. Ott, and J. A. Yorke, Physica D 17, 125 (1985). 10.1016/0167-2789(85)90001-6
-
(1985)
Physica D
, vol.17
, pp. 125
-
-
McDonald, S.W.1
Grebogi, C.2
Ott, E.3
Yorke, J.A.4
-
21
-
-
0003839881
-
-
Cambridge University Press, Cambridge, 10.1017/CBO9780511606014
-
S. Redner, A Guide to First-Passage Processes (Cambridge University Press, Cambridge, 2001). 10.1017/CBO9780511606014
-
(2001)
A Guide to First-Passage Processes
-
-
Redner, S.1
-
22
-
-
0017030517
-
A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
-
DOI 10.1016/0021-9991(76)90041-3
-
D. T. Gillespie, J. Comput. Phys. 22, 403 (1976). 10.1016/0021-9991(76) 90041-3 (Pubitemid 8008311)
-
(1976)
Journal of Computational Physics
, vol.22
, Issue.4
, pp. 403-434
-
-
Gillepsie, D.T.1
-
23
-
-
77749282174
-
-
For example, a corner represents the initial density (1- n0 ,0,0 ), and an edge represents the initial state where two densities are nonzero, etc.
-
For example, a corner represents the initial density (1 - n 0, 0, 0), and an edge represents the initial state where two densities are nonzero, etc.
-
-
-
-
24
-
-
33750973634
-
Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model
-
DOI 10.1103/PhysRevE.74.051907
-
T. Reichenbach, M. Mobilia, and E. Frey, Phys. Rev. E 74, 051907 (2006). 10.1103/PhysRevE.74.051907 (Pubitemid 44746118)
-
(2006)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.74
, Issue.5
, pp. 051907
-
-
Reichenbach, T.1
Mobilia, M.2
Frey, E.3
-
27
-
-
0000180546
-
-
See, for example., 10.1016/0167-2789(91)90234-Z
-
See, for example, J. Kennedy and J. A. Yorke, Physica D 51, 213 (1991). 10.1016/0167-2789(91)90234-Z
-
(1991)
Physica D
, vol.51
, pp. 213
-
-
Kennedy, J.1
Yorke, J.A.2
-
28
-
-
68949088008
-
-
10.1103/PhysRevE.80.011909
-
P. A. Altrock and A. Traulsen, Phys. Rev. E 80, 011909 (2009). 10.1103/PhysRevE.80.011909
-
(2009)
Phys. Rev. e
, vol.80
, pp. 011909
-
-
Altrock, P.A.1
Traulsen, A.2
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