-
2
-
-
0003935411
-
-
(Cambridge University Press, Cambridge)
-
J. Maynard Smith, Models in Ecology (Cambridge University Press, Cambridge, 1974).
-
(1974)
Models in Ecology
-
-
Maynard Smith, J.1
-
5
-
-
0026613691
-
-
NATUAS 0028-0836
-
M. A. Nowak and R. M. May, Nature (London) 359, 826 (1992); NATUAS 0028-0836 10.1038/359826a0
-
(1992)
Nature (London)
, vol.359
, pp. 826
-
-
Nowak, M.A.1
May, R.M.2
-
7
-
-
12044250363
-
-
RMPHAT 0034-6861
-
A. J. Koch and H. Meinhardt, Rev. Mod. Phys. 66, 1481 (1994); RMPHAT 0034-6861 10.1103/RevModPhys.66.1481
-
(1994)
Rev. Mod. Phys.
, vol.66
, pp. 1481
-
-
Koch, A.J.1
Meinhardt, H.2
-
10
-
-
0030697159
-
-
SCIEAS 0036-8075
-
J. L. Maron and S. Harrison, Science 278, 1619 (1997); SCIEAS 0036-8075 10.1126/science.278.5343.1619
-
(1997)
Science
, vol.278
, pp. 1619
-
-
Maron, J.L.1
Harrison, S.2
-
11
-
-
0346968178
-
-
TLPBAQ 0040-5809
-
A. A. King and A. Hastings, Theor. Pop. Biol. 64, 431 (2003); TLPBAQ 0040-5809 10.1016/S0040-5809(03)00100-X
-
(2003)
Theor. Pop. Biol.
, vol.64
, pp. 431
-
-
King, A.A.1
Hastings, A.2
-
13
-
-
34548615996
-
-
NATUAS 0028-0836
-
S. Kefi, M. Rietkerk, C. L. Alados, Y. Pueyo, V. P. Papanastasis, A. ElAich, and P. C. de Ruiter, Nature (London) 449, 213 (2007); NATUAS 0028-0836 10.1038/nature06111
-
(2007)
Nature (London)
, vol.449
, pp. 213
-
-
Kefi, S.1
Rietkerk, M.2
Alados, C.L.3
Pueyo, Y.4
Papanastasis, V.P.5
Elaich, A.6
De Ruiter, P.C.7
-
19
-
-
0033635620
-
-
HOBEAO 0018-506X
-
B. Sinervo, D. B. Miles, W. A. Frankino, M. Klukowski, and D. F. DeNardo, Hormone. Behav. 38, 222 (2000). HOBEAO 0018-506X 10.1006/hbeh.2000.1622
-
(2000)
Hormone. Behav.
, vol.38
, pp. 222
-
-
Sinervo, B.1
Miles, D.B.2
Frankino, W.A.3
Klukowski, M.4
Denardo, D.F.5
-
20
-
-
0037062936
-
-
NATUAS 0028-0836
-
B. Kerr, M. A. Riley, M. W. Feldman, and B. J. M. Bohannan, Nature (London) 418, 171 (2002). NATUAS 0028-0836 10.1038/nature00823
-
(2002)
Nature (London)
, vol.418
, pp. 171
-
-
Kerr, B.1
Riley, M.A.2
Feldman, M.W.3
Bohannan, B.J.M.4
-
22
-
-
33745981794
-
-
NATUAS 0028-0836
-
B. Kerr, C. Neuhauser, B. J. M. Bohannan, and A. M. Dean, Nature (London) 442, 75 (2006); NATUAS 0028-0836 10.1038/nature04864
-
(2006)
Nature (London)
, vol.442
, pp. 75
-
-
Kerr, B.1
Neuhauser, C.2
Bohannan, B.J.M.3
Dean, A.M.4
-
24
-
-
0025693834
-
-
AMNTA4 0003-0147
-
D. R. Taylor and L. W. Aarssen, Am. Nat. 136, 305 (1990); AMNTA4 0003-0147 10.1086/285100
-
(1990)
Am. Nat.
, vol.136
, pp. 305
-
-
Taylor, D.R.1
Aarssen, L.W.2
-
27
-
-
34250617077
-
-
PRPLCM 0370-1573
-
G. Szabó and G. Fáth, Phys. Rep. 446, 97 (2007); PRPLCM 0370-1573 10.1016/j.physrep.2007.04.004
-
(2007)
Phys. Rep.
, vol.446
, pp. 97
-
-
Szabó, G.1
Fáth, G.2
-
28
-
-
73449112588
-
-
BSYMBO 0303-2647
-
M. Perc and A. Szolnoki, BioSystems 99, 109 (2010). BSYMBO 0303-2647 10.1016/j.biosystems.2009.10.003
-
(2010)
BioSystems
, vol.99
, pp. 109
-
-
Perc, M.1
Szolnoki, A.2
-
29
-
-
0037052461
-
-
SCIEAS 0036-8075
-
C. Hauert, S. De Monte, J. Hofbauer, and K. Sigmund, Science 296, 1129 (2002); SCIEAS 0036-8075 10.1126/science.1070582
-
(2002)
Science
, vol.296
, pp. 1129
-
-
Hauert, C.1
De Monte, S.2
Hofbauer, J.3
Sigmund, K.4
-
33
-
-
77955711148
-
-
PHYADX 0378-4371
-
E. Frey, Physica A 389, 4265 (2010); PHYADX 0378-4371 10.1016/j.physa.2010.02.047
-
(2010)
Physica A
, vol.389
, pp. 4265
-
-
Frey, E.1
-
34
-
-
84907508795
-
-
arXiv:1408.6828 [J. R. Soc. Interface (to be published)]
-
A. Szolnoki, M. Mobilia, L.-L. Jiang, B. Szczesny, A. M. Rucklidge, and M. Perc, arXiv:1408.6828 [J. R. Soc. Interface (to be published)].
-
-
-
Szolnoki, A.1
Mobilia, M.2
Jiang, L.-L.3
Szczesny, B.4
Rucklidge, A.M.5
Perc, M.6
-
36
-
-
0038237123
-
-
EPJSFH 1292-8941
-
M. Ifti and B. Bergersen, Eur. Phys. J. E 10, 241 (2003); EPJSFH 1292-8941 10.1140/epje/i2002-10112-3
-
(2003)
Eur. Phys. J. e
, vol.10
, pp. 241
-
-
Ifti, M.1
Bergersen, B.2
-
38
-
-
60349108641
-
-
PRLTAO 0031-9007
-
M. Berr, T. Reichenbach, M. Schottenloher, and E. Frey, Phys. Rev. Lett. 102, 048102 (2009); PRLTAO 0031-9007 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
-
39
-
-
77649237641
-
-
JTBIAP 0022-5193
-
M. Mobilia, J. Theor. Biol. 264, 1 (2010); JTBIAP 0022-5193 10.1016/j.jtbi.2010.01.008
-
(2010)
J. Theor. Biol.
, vol.264
, pp. 1
-
-
Mobilia, M.1
-
44
-
-
4243806384
-
-
PRLTAO 0031-9007
-
K. I. Tainaka, Phys. Rev. Lett. 63, 2688 (1989); PRLTAO 0031-9007 10.1103/PhysRevLett.63.2688
-
(1989)
Phys. Rev. Lett.
, vol.63
, pp. 2688
-
-
Tainaka, K.I.1
-
45
-
-
4243214825
-
-
1063-651X
-
K. I. Tainaka, Phys. Rev. E 50, 3401 (1994) 1063-651X; 10.1103/PhysRevE.50.3401
-
(1994)
Phys. Rev. E
, vol.50
, pp. 3401
-
-
Tainaka, K.I.1
-
47
-
-
41349123220
-
-
1063-651X
-
G. Szabó and A. Szolnoki, Phys. Rev. E 65, 036115 (2002) 1063-651X; 10.1103/PhysRevE.65.036115
-
(2002)
Phys. Rev. E
, vol.65
, pp. 036115
-
-
Szabó, G.1
Szolnoki, A.2
-
50
-
-
77249156426
-
-
PLEEE8 1539-3755
-
S. Venkat and M. Pleimling, Phys. Rev. E 81, 021917 (2010); PLEEE8 1539-3755 10.1103/PhysRevE.81.021917
-
(2010)
Phys. Rev. E
, vol.81
, pp. 021917
-
-
Venkat, S.1
Pleimling, M.2
-
51
-
-
78651429893
-
-
PLEEE8 1539-3755
-
X. Ni, W. X. Wang, Y. C. Lai, and C. Grebogi, Phys. Rev. E 82, 066211 (2010); PLEEE8 1539-3755 10.1103/PhysRevE.82.066211
-
(2010)
Phys. Rev. E
, vol.82
, pp. 066211
-
-
Ni, X.1
Wang, W.X.2
Lai, Y.C.3
Grebogi, C.4
-
52
-
-
70749089564
-
-
NJOPFM 1367-2630
-
L. Jiang, T. Zhou, M. Perc, X. Huang, and B. Wang, New J. Phys. 11, 103001 (2009). NJOPFM 1367-2630 10.1088/1367-2630/11/10/103001
-
(2009)
New J. Phys.
, vol.11
, pp. 103001
-
-
Jiang, L.1
Zhou, T.2
Perc, M.3
Huang, X.4
Wang, B.5
-
53
-
-
49149112519
-
-
PRLTAO 0031-9007
-
T. Reichenbach and E. Frey, Phys. Rev. Lett. 101, 058102 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.058102
-
(2008)
Phys. Rev. Lett.
, vol.101
, pp. 058102
-
-
Reichenbach, T.1
Frey, E.2
-
54
-
-
51849151589
-
-
PLEEE8 1539-3755
-
M. Peltomäki and M. Alava, Phys. Rev. E 78, 031906 (2008). PLEEE8 1539-3755 10.1103/PhysRevE.78.031906
-
(2008)
Phys. Rev. E
, vol.78
, pp. 031906
-
-
Peltomäki, M.1
Alava, M.2
-
61
-
-
0031582046
-
-
JTBIAP 0022-5193
-
R. Durrett and S. Levin, J. Theor. Biol. 185, 165 (1997) JTBIAP 0022-5193 10.1006/jtbi.1996.0292;
-
(1997)
J. Theor. Biol.
, vol.185
, pp. 165
-
-
Durrett, R.1
Levin, S.2
-
64
-
-
85036176580
-
-
PLEEE8 1539-3755
-
A. Szolnoki and G. Szabó, Phys. Rev. E 70, 037102 (2004) PLEEE8 1539-3755 10.1103/PhysRevE.70.037102;
-
(2004)
Phys. Rev. E
, vol.70
, pp. 037102
-
-
Szolnoki, A.1
Szabó, G.2
-
66
-
-
53449088232
-
-
PLEEE8 1539-3755
-
G. J. Szöllosi and I. Derényi, Phys. Rev. E 78, 031919 (2008). PLEEE8 1539-3755 10.1103/PhysRevE.78.031919
-
(2008)
Phys. Rev. E
, vol.78
, pp. 031919
-
-
Szöllosi, G.J.1
Derényi, I.2
-
67
-
-
0029347157
-
-
CUBLE2 0960-9822
-
F. Siegert and C. J. Weijer, Curr. Biol. 5, 937 (1995) CUBLE2 0960-9822 10.1016/S0960-9822(95)00184-9;
-
(1995)
Curr. Biol.
, vol.5
, pp. 937
-
-
Siegert, F.1
Weijer, C.J.2
-
68
-
-
1642529026
-
-
PNASA6 0027-8424
-
O. A. Igoshin, R. Welch, D. Kaiser, and G. Oster, Proc. Natl. Acad. Sci. USA 101, 4256 (2004). PNASA6 0027-8424 10.1073/pnas.0400704101
-
(2004)
Proc. Natl. Acad. Sci. USA
, vol.101
, pp. 4256
-
-
Igoshin, O.A.1
Welch, R.2
Kaiser, D.3
Oster, G.4
-
70
-
-
0004291823
-
-
(Oxford University Press, New York)
-
I. Hanski, Metapopulation Ecology (Oxford University Press, New York, 1999).
-
(1999)
Metapopulation Ecology
-
-
Hanski, I.1
-
71
-
-
56749095462
-
-
PLEEE8 1539-3755
-
C. A. Lugo and A. J. McKane, Phys. Rev. E 78, 051911 (2008) PLEEE8 1539-3755 10.1103/PhysRevE.78.051911;
-
(2008)
Phys. Rev. E
, vol.78
, pp. 051911
-
-
Lugo, C.A.1
McKane, A.J.2
-
72
-
-
70349765696
-
-
PLEEE8 1539-3755
-
T. Butler and N. Goldenfeld, Phys. Rev. E 80, 030902(R) (2009) PLEEE8 1539-3755 10.1103/PhysRevE.80.030902;
-
(2009)
Phys. Rev. E
, vol.80
, pp. 030902R
-
-
Butler, T.1
Goldenfeld, N.2
-
73
-
-
79961102089
-
-
PLEEE8 1539-3755
-
T. Butler and N. Goldenfeld, Phys. Rev. E 84, 011112 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.84.011112
-
(2011)
Phys. Rev. E
, vol.84
, pp. 011112
-
-
Butler, T.1
Goldenfeld, N.2
-
77
-
-
84865035877
-
-
PLEEE8 1539-3755
-
D. Lamouroux, S. Eule, T. Geisel, and J. Nagler, Phys. Rev. E 86, 021911 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.86.021911
-
(2012)
Phys. Rev. E
, vol.86
, pp. 021911
-
-
Lamouroux, D.1
Eule, S.2
Geisel, T.3
Nagler, J.4
-
79
-
-
77955652704
-
-
1740-1526
-
D. B. Kearns, Nat. Rev. Micro. 8, 634 (2010). 1740-1526 10.1038/nrmicro2405
-
(2010)
Nat. Rev. Micro.
, vol.8
, pp. 634
-
-
Kearns, D.B.1
-
83
-
-
0036501083
-
-
JCTPAH 0021-9991
-
S. Cox and P. Matthews, J. Comp. Phys. 176, 430 (2002). JCTPAH 0021-9991 10.1006/jcph.2002.6995
-
(2002)
J. Comp. Phys.
, vol.176
, pp. 430
-
-
Cox, S.1
Matthews, P.2
-
84
-
-
0031636309
-
-
(IEEE, Piscataway, NJ)
-
M. Frigo and S. G. Johnson, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, Seattle, WA (IEEE, Piscataway, NJ, 1998), Vol. 3, p. 1381.
-
(1998)
Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, Seattle, WA
, vol.3
, pp. 1381
-
-
Frigo, M.1
Johnson, S.G.2
-
85
-
-
0017030517
-
-
JCTPAH 0021-9991
-
D. T. Gillespie, J. Comput. Phys. 22, 403 (1976). JCTPAH 0021-9991 10.1016/0021-9991(76)90041-3
-
(1976)
J. Comput. Phys.
, vol.22
, pp. 403
-
-
Gillespie, D.T.1
-
87
-
-
80955133336
-
-
PDNPDT 0167-2789
-
K. Orihashi and Y. Aizawa, Physica D 240, 1853 (2011). PDNPDT 0167-2789 10.1016/j.physd.2011.01.001
-
(2011)
Physica D
, vol.240
, pp. 1853
-
-
Orihashi, K.1
Aizawa, Y.2
-
89
-
-
50949090235
-
-
(American Mathematical Society, Providence, RI)
-
P. D. Miller, Applied Asymptotic Analysis (American Mathematical Society, Providence, RI, 2006).
-
(2006)
Applied Asymptotic Analysis
-
-
Miller, P.D.1
-
91
-
-
84907508790
-
-
It is indeed worth noting that we cannot rule out that spiral annihilation may also occur at low mutation rate after a much longer simulation time than in the proximity of HB. Yet, to the best of our knowledge no spiral annihilation phase has been observed in the studies carried out in the absence of mutations (Equation presented), see, e.g., Refs. [15,17,18,21,23,30]
-
It is indeed worth noting that we cannot rule out that spiral annihilation may also occur at low mutation rate after a much longer simulation time than in the proximity of HB. Yet, to the best of our knowledge no spiral annihilation phase has been observed in the studies carried out in the absence of mutations (Equation presented), see, e.g., Refs. [15,17,18,21,23,30].
-
-
-
-
92
-
-
80051653322
-
-
PLEEE8 1539-3755
-
L. L. Jiang, T. Zhou, M. Perc, and B.-H. Wang, Phys. Rev. E 84, 021912 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.84.021912
-
(2011)
Phys. Rev. E
, vol.84
, pp. 021912
-
-
Jiang, L.L.1
Zhou, T.2
Perc, M.3
Wang, B.-H.4
|