메뉴 건너뛰기




Volumn 87, Issue 5, 2013, Pages

Global attractors and extinction dynamics of cyclically competing species

Author keywords

[No Author keywords available]

Indexed keywords

COMPREHENSIVE ANALYSIS; EQUILIBRIUM THERMODYNAMICS; FREE ENERGY LANDSCAPE; LOTKA-VOLTERRA MODELS; NON-EQUILIBRIUM PHYSICS; NONEQUILIBRIUM PHASE TRANSITIONS; SPATIAL POPULATION DYNAMICS; SPATIO-TEMPORAL DYNAMICS;

EID: 84878353161     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.87.052710     Document Type: Article
Times cited : (39)

References (63)
  • 1
    • 77955711148 scopus 로고    scopus 로고
    • 0378-4371 10.1016/j.physa.2010.02.047
    • E. Frey, Physica A 0378-4371 10.1016/j.physa.2010.02.047 389, 4265 (2010).
    • (2010) Physica A , vol.389 , pp. 4265
    • Frey, E.1
  • 2
    • 0031582046 scopus 로고    scopus 로고
    • Allelopathy in spatially distributed populations
    • DOI 10.1006/jtbi.1996.0292
    • R. Durrett and S. Levin, J. Theor. Biol. 0022-5193 10.1006/jtbi.1996.0292 185, 165 (1997). (Pubitemid 27158291)
    • (1997) Journal of Theoretical Biology , vol.185 , Issue.2 , pp. 165-171
    • Durrett, R.1    Levin, S.2
  • 3
    • 0032001896 scopus 로고    scopus 로고
    • Spatial aspects of interspecific competition
    • DOI 10.1006/tpbi.1997.1338
    • R. Durrett and S. Levin, Theor. Pop. Biol. 0040-5809 10.1006/tpbi.1997. 1338 53, 30 (1998). (Pubitemid 28417743)
    • (1998) Theoretical Population Biology , vol.53 , Issue.1 , pp. 30-43
    • Durrett, R.1    Levin, S.2
  • 5
    • 0242268942 scopus 로고    scopus 로고
    • 0036-8075 10.1126/science.1087509
    • O. Gilg, I. Hanski, and B. Sittler, Science 0036-8075 10.1126/science.1087509 302, 866 (2001).
    • (2001) Science , vol.302 , pp. 866
    • Gilg, O.1    Hanski, I.2    Sittler, B.3
  • 6
  • 7
    • 0037062936 scopus 로고    scopus 로고
    • 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 M. B. J. Bohannan, Nature (London) 0028-0836 10.1038/nature00823 418, 171 (2002). (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
  • 8
    • 40449105326 scopus 로고    scopus 로고
    • in edited by M. A. Riley and M. A. Chavan (Springer, New York
    • B. Kerr, in Bacteriocins, edited by, M. A. Riley, and, M. A. Chavan, (Springer, New York, 2007), Chap. 6, pp. 111-134.
    • (2007) Bacteriocins , pp. 111-134
    • Kerr, B.1
  • 9
    • 0008151559 scopus 로고
    • 0021-4280 10.3792/pja/1195526389
    • Y. Itoh, Proc. Jpn. Acad. 0021-4280 10.3792/pja/1195526389 47, 854 (1971).
    • (1971) Proc. Jpn. Acad. , vol.47 , pp. 854
    • Itoh, Y.1
  • 12
    • 38949107449 scopus 로고    scopus 로고
    • Cyclic dominance and biodiversity in well-mixed populations
    • DOI 10.1103/PhysRevLett.100.058104
    • J. C. Claussen and A. Traulsen, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.100.058104 100, 058104 (2008). (Pubitemid 351230694)
    • (2008) Physical Review Letters , vol.100 , Issue.5 , pp. 058104
    • Claussen, J.C.1    Traulsen, A.2
  • 13
    • 84878372813 scopus 로고    scopus 로고
    • Diploma thesis, Ludwigs-Maximilians Universität
    • J. Cremer, Diploma thesis, Ludwigs-Maximilians Universität, 2008.
    • (2008)
    • Cremer, J.1
  • 16
    • 77649237641 scopus 로고    scopus 로고
    • 0022-5193 10.1016/j.jtbi.2010.01.008
    • M. Mobilia, J. Theor. Biol. 0022-5193 10.1016/j.jtbi.2010.01.008 264, 1 (2010).
    • (2010) J. Theor. Biol. , vol.264 , pp. 1
    • Mobilia, M.1
  • 17
    • 84861873146 scopus 로고    scopus 로고
    • 1539-3755 10.1103/PhysRevE.85.051903
    • A. Dobrinevski and E. Frey, Phys. Rev. E 1539-3755 10.1103/PhysRevE.85. 051903 85, 051903 (2012).
    • (2012) Phys. Rev. e , vol.85 , pp. 051903
    • Dobrinevski, A.1    Frey, E.2
  • 18
  • 20
    • 0001711757 scopus 로고
    • 0031-9015 10.1143/JPSJ.57.2588
    • K. I. Tainaka, J. Phys. Soc. Jpn. 0031-9015 10.1143/JPSJ.57.2588 57, 2588 (1988).
    • (1988) J. Phys. Soc. Jpn. , vol.57 , pp. 2588
    • Tainaka, K.I.1
  • 21
    • 4243806384 scopus 로고
    • 0031-9007 10.1103/PhysRevLett.63.2688
    • K. I. Tainaka, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.63.2688 63, 2688 (1989).
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 2688
    • Tainaka, K.I.1
  • 22
    • 4243214825 scopus 로고
    • 1539-3755 10.1103/PhysRevE.50.3401
    • K. I. Tainaka, Phys. Rev. E 1539-3755 10.1103/PhysRevE.50.3401 50, 3401 (1994).
    • (1994) Phys. Rev. e , vol.50 , pp. 3401
    • Tainaka, K.I.1
  • 26
    • 49149112519 scopus 로고    scopus 로고
    • 0031-9007 10.1103/PhysRevLett.101.058102
    • T. Reichenbach and E. Frey, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.101.058102 101, 058102 (2008).
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 058102
    • Reichenbach, T.1    Frey, E.2
  • 27
    • 78651273254 scopus 로고    scopus 로고
    • 1539-3755 10.1103/PhysRevE.82.051909
    • Q. He, M. Mobilia, and U. C. Täuber, Phys. Rev. E 1539-3755 10.1103/PhysRevE.82.051909 82, 051909 (2010).
    • (2010) Phys. Rev. e , vol.82 , pp. 051909
    • He, Q.1    Mobilia, M.2    Täuber, U.C.3
  • 28
  • 29
    • 77249156426 scopus 로고    scopus 로고
    • 1539-3755 10.1103/PhysRevE.81.021917
    • S. Venkat and M. Pleimling, Phys. Rev. E 1539-3755 10.1103/PhysRevE.81. 021917 81, 021917 (2010).
    • (2010) Phys. Rev. e , vol.81 , pp. 021917
    • Venkat, S.1    Pleimling, M.2
  • 31
    • 84862023877 scopus 로고    scopus 로고
    • 1434-6028 10.1140/epjb/e2012-20918-4
    • Q. He, U. C. Täuber, and R. K. P. Zia, Eur. Phys. J. B 1434-6028 10.1140/epjb/e2012-20918-4 85, 141 (2012).
    • (2012) Eur. Phys. J. B , vol.85 , pp. 141
    • He, Q.1    Täuber, U.C.2    Zia, R.K.P.3
  • 32
    • 84864411034 scopus 로고    scopus 로고
    • 1742-5468 10.1088/1742-5468/2012/07/P07014
    • A. Roman, D. Konrad, and M. Pleimling, J. Stat. Mech. 1742-5468 10.1088/1742-5468/2012/07/P07014 (2012) P07014.
    • J. Stat. Mech. , vol.2012 , pp. 07014
    • Roman, A.1    Konrad, D.2    Pleimling, M.3
  • 33
    • 36849066945 scopus 로고    scopus 로고
    • 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. 0031-9007 10.1103/PhysRevLett.99.238105 99, 238105 (2007). (Pubitemid 350231924)
    • (2007) Physical Review Letters , vol.99 , Issue.23 , pp. 238105
    • Reichenbach, T.1    Mobilia, M.2    Frey, E.3
  • 34
    • 34548305141 scopus 로고    scopus 로고
    • Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games
    • DOI 10.1038/nature06095, PII NATURE06095
    • T. Reichenbach, M. Mobilia, and E. Frey, Nature (London) 0028-0836 10.1038/nature06095 448, 1046 (2007). (Pubitemid 47345589)
    • (2007) Nature , vol.448 , Issue.7157 , pp. 1046-1049
    • Reichenbach, T.1    Mobilia, M.2    Frey, E.3
  • 35
    • 51849151589 scopus 로고    scopus 로고
    • 1539-3755 10.1103/PhysRevE.78.031906
    • M. Peltomaki and M. Alava, Phys. Rev. E 1539-3755 10.1103/PhysRevE.78. 031906 78, 031906 (2008).
    • (2008) Phys. Rev. e , vol.78 , pp. 031906
    • Peltomaki, M.1    Alava, M.2
  • 37
    • 78651276783 scopus 로고    scopus 로고
    • 1539-3755 10.1103/PhysRevE.82.052901
    • Ana Paula O. Müller and J. A. C. Gallas, Phys. Rev. E 1539-3755 10.1103/PhysRevE.82.052901 82, 052901 (2010).
    • (2010) Phys. Rev. e , vol.82 , pp. 052901
    • Müller, A.P.1    Gallas, J.A.C.2
  • 38
  • 39
  • 44
    • 33846837061 scopus 로고
    • 0002-7863 10.1021/ja01453a010
    • A. J. Lotka, J. Am. Chem. Soc. 0002-7863 10.1021/ja01453a010 42, 1595 (1920).
    • (1920) J. Am. Chem. Soc. , vol.42 , pp. 1595
    • Lotka, A.J.1
  • 46
    • 58149215868 scopus 로고    scopus 로고
    • 0031-9007 10.1103/PhysRevLett.101.258102
    • U. Dobramysl and U. C. Täuber, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.101.258102 101, 258102 (2008).
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 258102
    • Dobramysl, U.1    Täuber, U.C.2
  • 47
    • 67650931317 scopus 로고    scopus 로고
    • 1539-3755 10.1103/PhysRevE.79.051131
    • R. P. Boland, T. Galla, and A. J. McKane, Phys. Rev. E 1539-3755 10.1103/PhysRevE.79.051131 79, 051131 (2009).
    • (2009) Phys. Rev. e , vol.79 , pp. 051131
    • Boland, R.P.1    Galla, T.2    McKane, A.J.3
  • 48
    • 70349229325 scopus 로고    scopus 로고
    • 1539-3755 10.1103/PhysRevE.80.021129
    • M. Parker and A. Kamenev, Phys. Rev. E 1539-3755 10.1103/PhysRevE.80. 021129 80, 021129 (2009).
    • (2009) Phys. Rev. e , vol.80 , pp. 021129
    • Parker, M.1    Kamenev, A.2
  • 50
    • 34548792401 scopus 로고    scopus 로고
    • Competing associations in bacterial warfare with two toxins
    • DOI 10.1016/j.jtbi.2007.06.022, PII S0022519307003153
    • P. Szabó, T. Czárán, and G. Szabó, J. Theor. Biol. 0022-5193 10.1016/j.jtbi.2007.06.022 248, 736 (2007). (Pubitemid 47429706)
    • (2007) Journal of Theoretical Biology , vol.248 , Issue.4 , pp. 736-744
    • Szabo, P.1    Czaran, T.2    Szabo, G.3
  • 52
    • 84864755800 scopus 로고    scopus 로고
    • 1539-3755 10.1103/PhysRevE.86.011929
    • N. Mitarai, J. Mathiesen, and K. Sneppen, Phys. Rev. E 1539-3755 10.1103/PhysRevE.86.011929 86, 011929 (2012).
    • (2012) Phys. Rev. e , vol.86 , pp. 011929
    • Mitarai, N.1    Mathiesen, J.2    Sneppen, K.3
  • 54
    • 33847329155 scopus 로고    scopus 로고
    • Amplitude-dependent frequency, desynchronization, and stabilization in noisy metapopulation dynamics
    • DOI 10.1103/PhysRevLett.98.098104
    • R. Abta, M. Schiffer, and N. M. Shnerb, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.98.098104 98, 098104 (2007). (Pubitemid 46328702)
    • (2007) Physical Review Letters , vol.98 , Issue.9 , pp. 098104
    • Abta, R.1    Schiffer, M.2    Shnerb, N.M.3
  • 56
    • 0036013603 scopus 로고    scopus 로고
    • 0034-6861 10.1103/RevModPhys.74.99
    • I. Aranson and L. Kramer, Rev. Mod. Phys. 0034-6861 10.1103/RevModPhys. 74.99 74, 99 (2002).
    • (2002) Rev. Mod. Phys. , vol.74 , pp. 99
    • Aranson, I.1    Kramer, L.2
  • 57
    • 56749095462 scopus 로고    scopus 로고
    • 1539-3755 10.1103/PhysRevE.78.051911
    • C. A. Lugo and A. J. McKane, Phys. Rev. E 1539-3755 10.1103/PhysRevE.78. 051911 78, 051911 (2008).
    • (2008) Phys. Rev. e , vol.78 , pp. 051911
    • Lugo, C.A.1    McKane, A.J.2
  • 58
    • 70349765696 scopus 로고    scopus 로고
    • 1539-3755 10.1103/PhysRevE.80.030902
    • T. Butler and N. Goldenfeld, Phys. Rev. E 1539-3755 10.1103/PhysRevE.80. 030902 80, 030902 (2009).
    • (2009) Phys. Rev. e , vol.80 , pp. 030902
    • Butler, T.1    Goldenfeld, N.2
  • 60
    • 84866550899 scopus 로고    scopus 로고
    • 1751-8113 10.1088/1751-8113/45/40/405002
    • U. C. Täuber, J. Phys. A: Math. and Theor. 1751-8113 10.1088/1751-8113/45/40/405002 45, 405002 (2012).
    • (2012) J. Phys. A: Math. and Theor. , vol.45 , pp. 405002
    • Täuber, U.C.1
  • 61
    • 84873050130 scopus 로고    scopus 로고
    • 0031-9007 10.1103/PhysRevLett.110.048105
    • U. Dobramysl and U. C. Täuber, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.110.048105 110, 048105 (2013).
    • (2013) Phys. Rev. Lett. , vol.110 , pp. 048105
    • Dobramysl, U.1    Täuber, U.C.2
  • 62
    • 70350072418 scopus 로고    scopus 로고
    • 1367-2630 10.1088/1367-2630/11/9/093029
    • J. Cremer, T. Reichenbach, and E. Frey, New J. Phys. 1367-2630 10.1088/1367-2630/11/9/093029 11, 93029 (2009).
    • (2009) New J. Phys. , vol.11 , pp. 93029
    • Cremer, J.1    Reichenbach, T.2    Frey, E.3
  • 63
    • 0142119503 scopus 로고    scopus 로고
    • Front propagation into unstable states
    • DOI 10.1016/j.physrep.2003.08.001, PII S0370157303003223
    • W. van Saarlos, Phys. Rep. 0370-1573 10.1016/j.physrep.2003.08.001 386, 29 (2003). (Pubitemid 37282153)
    • (2003) Physics Reports , vol.386 , Issue.2-6 , pp. 29-222
    • Van Saarloos, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.