메뉴 건너뛰기




Volumn 38, Issue 4, 1999, Pages 346-358

Traveling wave solutions of a nonlinear reaction-advection equation

Author keywords

Nonlinear advective processes; Stability; Traveling waves

Indexed keywords


EID: 0004569532     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002850050152     Document Type: Article
Times cited : (22)

References (20)
  • 1
    • 0000426851 scopus 로고
    • Diffusive logistic equations with indefinite weights: Population models in disrupted environments II
    • R. S. Cantrell and C. Cosner, Diffusive logistic equations with indefinite weights: population models in disrupted environments II. SIAM J. Math. Anal., 22(4): 1043-1064, 1991
    • (1991) SIAM J. Math. Anal. , vol.22 , Issue.4 , pp. 1043-1064
    • Cantrell, R.S.1    Cosner, C.2
  • 2
    • 0000371382 scopus 로고
    • The effects of spatial heterogeneity in population dynamics
    • R. S. Cantrell and C. Cosner, The effects of spatial heterogeneity in population dynamics. J. Math. Biol., 29: 315-338, 1991
    • (1991) J. Math. Biol. , vol.29 , pp. 315-338
    • Cantrell, R.S.1    Cosner, C.2
  • 3
    • 0003299218 scopus 로고
    • Mathematical Aspects of Reacting and Diffusing Systems
    • Springer-Verlag, Berlin
    • P. C. Fife, Mathematical Aspects of Reacting and Diffusing Systems Lecture Notes in Biomathematics, Vol 28, Springer-Verlag, Berlin, 1979
    • (1979) Lecture Notes in Biomathematics , vol.28
    • Fife, P.C.1
  • 4
    • 0000268135 scopus 로고
    • The wave of advance of advantageous
    • R. A. Fisher. The wave of advance of advantageous. Ann. Eugenics, 7: 335-369, 1937
    • (1937) Ann. Eugenics , vol.7 , pp. 335-369
    • Fisher, R.A.1
  • 5
    • 0041630569 scopus 로고    scopus 로고
    • Modeling the effects of toxicants on a fish population in a spatially heterogeneous environment: I. Behavior of the unstressed, spatial model
    • T. G. Hallam and K. Lika, Modeling the effects of toxicants on a fish population in a spatially heterogeneous environment: I. Behavior of the unstressed, spatial model. Nonlinear Analysis, Theory, Methods & Applications, 30(3): 1699-1707, 1997
    • (1997) Nonlinear Analysis, Theory, Methods & Applications , vol.30 , Issue.3 , pp. 1699-1707
    • Hallam, T.G.1    Lika, K.2
  • 6
    • 0028176208 scopus 로고
    • Partial differential equations in ecology: Spatial interactions and population dynamics
    • E. E. Holmes, J. Banks, M. Lewis, and R. R. Veit, Partial differential equations in ecology: spatial interactions and population dynamics. Ecology, 75: 17-29, 1994
    • (1994) Ecology , vol.75 , pp. 17-29
    • Holmes, E.E.1    Banks, J.2    Lewis, M.3    Veit, R.R.4
  • 7
    • 0007549003 scopus 로고
    • Pattern formation in ecological communities
    • (J. H. Steele, ed.) Plenum, New York
    • S. A. Levin, Pattern formation in ecological communities in Spatial Pattern in Plankton Communities (J. H. Steele, ed.) Plenum, New York. 433-465, 1978
    • (1978) Spatial Pattern in Plankton Communities , pp. 433-465
    • Levin, S.A.1
  • 8
    • 0041630568 scopus 로고    scopus 로고
    • Modeling the effects of toxicants on a fish population in a spatially heterogeneous environment: II. Lethal effects
    • K. Lika and T. G. Hallam, Modeling the effects of toxicants on a fish population in a spatially heterogeneous environment: II. Lethal effects. Nonlinear Analysis, Theory, Methods & Applications, 30(3): 1709-1719, 1997
    • (1997) Nonlinear Analysis, Theory, Methods & Applications , vol.30 , Issue.3 , pp. 1709-1719
    • Lika, K.1    Hallam, T.G.2
  • 9
    • 0027845917 scopus 로고
    • Spatio-temporal pattern formation in nonlinear non-equilibrium plankton dynamics
    • H. Malchow, Spatio-temporal pattern formation in nonlinear non-equilibrium plankton dynamics. Proc. R. Soc. Lond. B, 251(1331): 103-109, 1993
    • (1993) Proc. R. Soc. Lond. B , vol.251 , Issue.1331 , pp. 103-109
    • Malchow, H.1
  • 10
    • 0028554217 scopus 로고
    • Non-equilibrium structures in plankton dynamics
    • H. Malchow Non-equilibrium structures in plankton dynamics. Ecological Modelling, 75/76: 123-134, 1994
    • (1994) Ecological Modelling , vol.75-76 , pp. 123-134
    • Malchow, H.1
  • 11
    • 0028982751 scopus 로고
    • Flow- and locomotion-induced pattern formation in nonlinear population dynamics
    • H. Malchow, Flow- and locomotion-induced pattern formation in nonlinear population dynamics. Ecological Modelling, 82: 257-265, 1995
    • (1995) Ecological Modelling , vol.82 , pp. 257-265
    • Malchow, H.1
  • 12
    • 0000644794 scopus 로고
    • Spatial contact models for ecological and epidemic spread
    • D. Mollison, Spatial contact models for ecological and epidemic spread. J. Roy. Stat. Soc., B39: 283-326, 1977
    • (1977) J. Roy. Stat. Soc. , vol.B39 , pp. 283-326
    • Mollison, D.1
  • 13
    • 85171891011 scopus 로고
    • Singular perturbation of a class of nonlinear hyperbolic and parabolic equations
    • J. D. Murray, Singular perturbation of a class of nonlinear hyperbolic and parabolic equations. J. Maths. and Physics, 47: 111-133, 1689
    • (1689) J. Maths. and Physics , vol.47 , pp. 111-133
    • Murray, J.D.1
  • 14
    • 0014848021 scopus 로고
    • Perturbation effects on the decay of discontinuous solutions of nonlinear first order wave equations
    • J. D. Murray, Perturbation effects on the decay of discontinuous solutions of nonlinear first order wave equations. J. Fluid Mech., 44: 273-298, 1970
    • (1970) J. Fluid Mech. , vol.44 , pp. 273-298
    • Murray, J.D.1
  • 15
    • 84976111264 scopus 로고
    • On Burgers' model equations for turbulence
    • J. D. Murray, On Burgers' model equations for turbulence. J. Fluid Mech., 59: 263-279, 1973
    • (1973) J. Fluid Mech. , vol.59 , pp. 263-279
    • Murray, J.D.1
  • 20
    • 0000358685 scopus 로고
    • The biology of Oikopleara dioica and Fritillaria borealis in the Southern Bight
    • T. Wyatt, The biology of Oikopleara dioica and Fritillaria borealis in the Southern Bight. Mar. Biol., 22: 137-158, 1973
    • (1973) Mar. Biol. , vol.22 , pp. 137-158
    • Wyatt, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.