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Volumn 26, Issue 2, 2010, Pages 551-596

Random dispersal vs. non-local dispersal

Author keywords

Competition; Integral kernel; Non local dispersal; Random dispersal; Reactiondiffusion

Indexed keywords


EID: 77949925829     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2010.26.551     Document Type: Article
Times cited : (259)

References (26)
  • 1
    • 22244440170 scopus 로고    scopus 로고
    • Analysis of the periodic patch model: I - The effects of heterogeneous environment on species conservation
    • H. Berestycki, F. Hamel and L. Roques, Analysis of the periodic patch model: I - The effects of heterogeneous environment on species conservation, J. Math. Biol., 51 (2005), 75-113.
    • (2005) J. Math. Biol. , vol.51 , pp. 75-113
    • Berestycki, H.1    Hamel, F.2    Roques, L.3
  • 2
    • 16644386250 scopus 로고    scopus 로고
    • Analysis of the periodic patch model: II - Biological invasions and pulsating travelling fronts
    • H. Berestycki, F. Hamel and L. Roques, Analysis of the periodic patch model: II - Biological invasions and pulsating travelling fronts, J. Math. Pures Appl., 84 (2005), 1101-1146.
    • (2005) J. Math. Pures Appl. , vol.84 , pp. 1101-1146
    • Berestycki, H.1    Hamel, F.2    Roques, L.3
  • 3
    • 0041494930 scopus 로고
    • Perturbations of positive semigroups and applications to population genetics
    • Reinhard Bürger, Perturbations of positive semigroups and applications to population genetics, Math. Z., 197 (1988), 259-272.
    • (1988) Math. Z. , vol.197 , pp. 259-272
    • Bürger, R.1
  • 4
    • 2942630398 scopus 로고    scopus 로고
    • Spatial ecology via reaction-diffusion equations
    • John Wiley and Sons, Chichester, UK
    • R. S. Cantrell and C. Cosner, "Spatial Ecology via Reaction-Diffusion Equations, " Series in Mathematical and Computational Biology, John Wiley and Sons, Chichester, UK, 2003.
    • (2003) Series Mathematical and Computational Biology
    • Cantrell, R.S.1    Cosner, C.2
  • 5
    • 38249029133 scopus 로고
    • Invariant manifolds for flows in banach spaces
    • S.-N. Chow and K. Lu, Invariant manifolds for flows in Banach spaces, J. Differential Equations, 74 (1988), 285-317.
    • (1988) J. Differential Equations , vol.74 , pp. 285-317
    • Chow, S.-N.1    Lu, K.2
  • 6
    • 0012046798 scopus 로고    scopus 로고
    • J. Clobert, E. Danchin, A. Dhondt and J. Nichols eds., Oxford University Press, Oxford
    • J. Clobert, E. Danchin, A. Dhondt and J. Nichols eds., "Dispersal, " Oxford University Press, Oxford, 2001.
    • (2001) Dispersal
  • 7
    • 52649153528 scopus 로고    scopus 로고
    • Existence and uniqueness of solutions to a nonlocal equation with monostable nonlinearity
    • J. Coville, J. Dávila and S. Martínez, Existence and uniqueness of solutions to a nonlocal equation with monostable nonlinearity, SIAM J. Math. Anal., 39 (2008), 1693-1709.
    • (2008) SIAM J. Math. Anal. , vol.39 , pp. 1693-1709
    • Coville, J.1    Dávila, J.2    Martínez, S.3
  • 8
    • 84987625123 scopus 로고    scopus 로고
    • Existence and perturbation of principal eigenvalues for a periodic-parabolic problem
    • Coral Gables, FL, Electron. J. Diff. Equations, Conf. 5, Southwest Texas State Univ., San Marcos, TX
    • D. Daners, Existence and perturbation of principal eigenvalues for a periodic-parabolic problem, in "Proceedings of the Conference on Nonlinear Differential Equations" (Coral Gables, FL. 1999), Electron. J. Diff. Equations, Conf. 5, Southwest Texas State Univ., San Marcos, TX. 2000, 51-67.
    • (1999) Proceedings of the Conference on Nonlinear Differential Equations , pp. 51-67
    • Daners, D.1
  • 9
    • 0002086916 scopus 로고    scopus 로고
    • The evolution of slow dispersal rates: A reaction-diffusion model
    • J. Dockery, V. Hutson, K. Mischaikow and M. Pernarowski, The evolution of slow dispersal rates: A reaction-diffusion model, J. Math. Biol., 37 (1998), 61-83.
    • (1998) J. Math. Biol. , vol.37 , pp. 61-83
    • Dockery, J.1    Hutson, V.2    Mischaikow, K.3    Pernarowski, M.4
  • 10
    • 3042793887 scopus 로고    scopus 로고
    • Variational principles for eigenvalues of self-adjoint operator functions
    • D. Eschwe and M. Langer, Variational principles for eigenvalues of self-adjoint operator functions, Integr. Equ. Oper. Theory, 49 (2004), 287-321.
    • (2004) Integr. Equ. Oper. Theory , vol.49 , pp. 287-321
    • Eschwe, D.1    Langer, M.2
  • 13
    • 0001731677 scopus 로고
    • Can spatial variation alone lead to selection for dispersal?
    • A. Hastings, Can spatial variation alone lead to selection for dispersal? Theor. Pop. Biol., 24 (1983), 244-251.
    • (1983) Theor. Pop. Biol. , vol.24 , pp. 244-251
    • Hastings, A.1
  • 14
    • 0003304963 scopus 로고
    • Geometric theory of semilinear parabolic equations
    • Springer-Verlag, Berlin
    • D. Henry, "Geometric Theory of Semilinear Parabolic Equations, " Lecture Notes in Math. 840, Springer-Verlag, Berlin, 1981.
    • (1981) Lecture Notes in Math , vol.840
    • Henry, D.1
  • 15
    • 33749325477 scopus 로고    scopus 로고
    • Non-local dispersal and bistability
    • V. Hutson and M. Grinfeld, Non-local dispersal and bistability, Euro. J. Appl. Math., 17 (2006), 221-232.
    • (2006) Euro. J. Appl. Math. , vol.17 , pp. 221-232
    • Hutson, V.1    Grinfeld, M.2
  • 16
    • 0035747963 scopus 로고    scopus 로고
    • The evolution of dispersal rates in a heterogenous time-periodic environment
    • V. Hutson, K. Mischaikow and P. Polacik, The evolution of dispersal rates in a heterogenous time-periodic environment, J Math Biol., 43 (2001), 501-533.
    • (2001) J. Math Biol. , vol.43 , pp. 501-533
    • Hutson, V.1    Mischaikow, K.2    Polacik, P.3
  • 18
    • 50249123097 scopus 로고    scopus 로고
    • Spectral theory for nonlocal dispersal with periodic or almost-periodic time dependence
    • V. Hutson, W. Shen and G. T. Vickers, Spectral theory for nonlocal dispersal with periodic or almost-periodic time dependence, Rocky Mountain Journal of Mathematics, 38 (2008), 1147-1175.
    • (2008) Rocky Mountain Journal of Mathematics , vol.38 , pp. 1147-1175
    • Hutson, V.1    Shen, W.2    Vickers, G.T.3
  • 21
    • 0022031654 scopus 로고
    • Pattern generation in space and aspect
    • S. A. Levin and L. A. Segal, Pattern generation in space and aspect, SLAM Review, 27 (1985), 45-67.
    • (1985) SLAM Review , vol.27 , pp. 45-67
    • Levin, S.A.1    Segal, L.A.2
  • 23
    • 0027079496 scopus 로고
    • The evolution of dispersal in spatially and temporally varying environments
    • M. A. McPeek and R. D. Holt, The evolution of dispersal in spatially and temporally varying environments, Am. Nat., 140 (1992), 1010-1027.
    • (1992) Am. Nat. , vol.140 , pp. 1010-1027
    • McPeek, M.A.1    Holt, R.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.