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Volumn 120, Issue 7, 2010, Pages 1364-1392

Evolution in predator-prey systems

Author keywords

Adaptive dynamics; Branching random walk; Branchingselection particle system; Coexistence; LotkaVolterra equations; Predatorprey

Indexed keywords

ADAPTIVE DYNAMICS; BRANCHING RANDOM WALKS; LOTKA-VOLTERRA EQUATIONS; PARTICLE SYSTEMS; PREDATOR-PREY;

EID: 77955266657     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2010.03.011     Document Type: Article
Times cited : (15)

References (27)
  • 1
    • 0025956334 scopus 로고
    • An elementary proof of the RouthHurwitz stability criterion
    • J. Anagnost, and C. Desoer An elementary proof of the RouthHurwitz stability criterion Circuits Systems Signal Process 10 1 1991 101 114
    • (1991) Circuits Systems Signal Process , vol.10 , Issue.1 , pp. 101-114
    • Anagnost, J.1    Desoer, C.2
  • 2
    • 0000991156 scopus 로고
    • A new approach to the limit theory of recurrent Markov chains
    • K. Athreya, and P.E. Ney A new approach to the limit theory of recurrent Markov chains Trans. Amer. Math. Soc. 245 1978 493 501
    • (1978) Trans. Amer. Math. Soc. , vol.245 , pp. 493-501
    • Athreya, K.1    Ney, P.E.2
  • 3
    • 0001687281 scopus 로고
    • Chernoff's theorem in branching random walk
    • J.D. Biggins Chernoff's theorem in branching random walk J. Appl. Probab. 14 1977 630 636
    • (1977) J. Appl. Probab. , vol.14 , pp. 630-636
    • Biggins, J.D.1
  • 6
    • 58149349483 scopus 로고
    • A martingale approach to the Poisson convergence of simple point processes
    • T. Brown A martingale approach to the Poisson convergence of simple point processes Ann. Probab. 6 1978 615 628
    • (1978) Ann. Probab. , vol.6 , pp. 615-628
    • Brown, T.1
  • 7
    • 0001425072 scopus 로고    scopus 로고
    • Shift in the velocity of a front due to a cutoff
    • E. Brunet, and B. Derrida Shift in the velocity of a front due to a cutoff Phys. Rev. E 56 1997 2597 2604
    • (1997) Phys. Rev. e , vol.56 , pp. 2597-2604
    • Brunet, E.1    Derrida, B.2
  • 8
    • 55849103220 scopus 로고    scopus 로고
    • From individual stochastic processes to macroscopic models in adaptive evolution
    • N. Champagnat, R. Ferrire, and S. Mlard From individual stochastic processes to macroscopic models in adaptive evolution Stoch. Models 24 1 2008 2 44 Suppl.
    • (2008) Stoch. Models , vol.24 , Issue.1 , pp. 2-44
    • Champagnat, N.1    Ferrire, R.2    Mlard, S.3
  • 9
    • 47349090987 scopus 로고    scopus 로고
    • Evolution of discrete populations and the canonical diffusion of adaptive dynamics
    • N. Champagnat, and A. Lambert Evolution of discrete populations and the canonical diffusion of adaptive dynamics Ann. Appl. Probab. 17 2007 102 155
    • (2007) Ann. Appl. Probab. , vol.17 , pp. 102-155
    • Champagnat, N.1    Lambert, A.2
  • 11
    • 0042476421 scopus 로고    scopus 로고
    • Bifurcation analysis of a predatorprey coevolution model
    • F. Dercole, J.O. Irisson, and S. Rinaldi Bifurcation analysis of a predatorprey coevolution model SIAM J. Appl. Math. 63 2002 1378 1391
    • (2002) SIAM J. Appl. Math. , vol.63 , pp. 1378-1391
    • Dercole, F.1    Irisson, J.O.2    Rinaldi, S.3
  • 12
    • 0029693807 scopus 로고    scopus 로고
    • The dynamical theory of coevolution: A derivation from stochastic ecological processes
    • U. Dieckmann, and R. Law The dynamical theory of coevolution: a derivation from stochastic ecological processes J. Math. Biol. 3 1996 579 612
    • (1996) J. Math. Biol. , vol.3 , pp. 579-612
    • Dieckmann, U.1    Law, R.2
  • 13
    • 0028991965 scopus 로고
    • Evolutionary cycling in predatorprey interactions: Population dynamics and the Red Queen
    • U. Dieckmann, P. Marrow, and R. Law Evolutionary cycling in predatorprey interactions: population dynamics and the Red Queen J. Theor. Biol. 176 1995 91 102
    • (1995) J. Theor. Biol. , vol.176 , pp. 91-102
    • Dieckmann, U.1    Marrow, P.2    Law, R.3
  • 14
    • 85085398796 scopus 로고    scopus 로고
    • Mutual invadability implies coexistence in spatial models
    • R. Durrett Mutual invadability implies coexistence in spatial models Mem. Amer. Math. Soc. 156 740 2002
    • (2002) Mem. Amer. Math. Soc. , vol.156 , Issue.740
    • Durrett, R.1
  • 15
    • 85037894168 scopus 로고    scopus 로고
    • Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations
    • in press
    • R. Durrett, D. Remenik, BrunetDerrida particle systems, free boundary problems and WienerHopf equations, Ann. Probab. (2010) (in press).
    • (2010) Ann. Probab.
    • Durrett, R.1    Remenik, D.2
  • 17
    • 13844271461 scopus 로고    scopus 로고
    • Residentinvader dynamics and the coexistence of similar strategies
    • S.A.H. Geritz Residentinvader dynamics and the coexistence of similar strategies J. Math. Biol. 50 2005 67 82
    • (2005) J. Math. Biol. , vol.50 , pp. 67-82
    • Geritz, S.A.H.1
  • 20
    • 0003031673 scopus 로고
    • Adaptive dynamics and evolutionary stability
    • J. Hofbauer, and K. Sigmund Adaptive dynamics and evolutionary stability Appl. Math. Lett. 3 4 1990 75 79
    • (1990) Appl. Math. Lett. , vol.3 , Issue.4 , pp. 75-79
    • Hofbauer, J.1    Sigmund, K.2
  • 22
    • 34548546398 scopus 로고    scopus 로고
    • Effects of rapid prey evolution on predatorprey cycles
    • L.E. Jones, and S.P. Ellner Effects of rapid prey evolution on predatorprey cycles J. Math. Biol. 55 2007 541 573
    • (2007) J. Math. Biol. , vol.55 , pp. 541-573
    • Jones, L.E.1    Ellner, S.P.2
  • 23
    • 3142718985 scopus 로고
    • Branching Brownian motion with absorption
    • H. Kesten Branching Brownian motion with absorption Stoch. Proc. Appl. 7 1978 9 47
    • (1978) Stoch. Proc. Appl. , vol.7 , pp. 9-47
    • Kesten, H.1
  • 24
    • 0027084786 scopus 로고
    • How should we define fitness for general ecological scenarios?
    • J.A.J. Metz, R.M. Nisbet, and S.A.H. Geritz How should we define fitness for general ecological scenarios? Trends Ecol. Evol. 7 1992 198 202
    • (1992) Trends Ecol. Evol. , vol.7 , pp. 198-202
    • Metz, J.A.J.1    Nisbet, R.M.2    Geritz, S.A.H.3
  • 27
    • 0038884412 scopus 로고
    • On maximal and distributional coupling
    • H. Thorisson On maximal and distributional coupling Ann. Appl. Probab. 44 1986 873 876
    • (1986) Ann. Appl. Probab. , vol.44 , pp. 873-876
    • Thorisson, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.