메뉴 건너뛰기




Volumn 78, Issue 1-2, 1996, Pages 143-148

Models of spatial spread: A synthesis

Author keywords

competition; diffusion; invasion; predation; spread; theory

Indexed keywords

BIOLOGICAL INVASION; RANGE EXPANSION;

EID: 0030251402     PISSN: 00063207     EISSN: None     Source Type: Journal    
DOI: 10.1016/0006-3207(96)00023-7     Document Type: Article
Times cited : (80)

References (26)
  • 2
    • 0020568654 scopus 로고
    • Travelling wave solutions of diffusive Lotka-Volterra equations
    • Dunbar, S. (1983). Travelling wave solutions of diffusive Lotka-Volterra equations. J. Math. Biol., 17, 11-32.
    • (1983) J. Math. Biol. , vol.17 , pp. 11-32
    • Dunbar, S.1
  • 5
    • 0017637590 scopus 로고
    • The approach of solutions of nonlinear diffusion equations to travelling front solutions
    • Fife, P. & McLeod, S. B. (1975). The approach of solutions of nonlinear diffusion equations to travelling front solutions. Arch. Rat. Mech. Anal., 65, 335-61.
    • (1975) Arch. Rat. Mech. Anal. , vol.65 , pp. 335-361
    • Fife, P.1    McLeod, S.B.2
  • 6
    • 0000268135 scopus 로고
    • The wave of advance of advantageous genes
    • Fisher, R. A. (1937), The wave of advance of advantageous genes. Ann. Eugen. (Lond.), 7, 355-69.
    • (1937) Ann. Eugen. (Lond.) , vol.7 , pp. 355-369
    • Fisher, R.A.1
  • 7
    • 0346415941 scopus 로고
    • Existence and stability of travelling wave solutions of competition models: A degree theoretic approach
    • Gardner, R. (1982). Existence and stability of travelling wave solutions of competition models: a degree theoretic approach. J. Diff Eqns, 44, 343-64.
    • (1982) J. Diff Eqns , vol.44 , pp. 343-364
    • Gardner, R.1
  • 8
    • 0002663858 scopus 로고
    • Existence of travelling wave solutions of predator-prey systems via the connection index
    • Gardner, R. (1984). Existence of travelling wave solutions of predator-prey systems via the connection index. SIAM J. Appl. Math., 44, 56-79.
    • (1984) SIAM J. Appl. Math. , vol.44 , pp. 56-79
    • Gardner, R.1
  • 9
    • 0016743943 scopus 로고
    • Travelling fronts in nonlinear diffusion equations
    • Hadeler, K. P. & Rothe, F. (1975). Travelling fronts in nonlinear diffusion equations. J. Math. Biol., 22, 251-63.
    • (1975) J. Math. Biol. , vol.22 , pp. 251-263
    • Hadeler, K.P.1    Rothe, F.2
  • 10
    • 0000667133 scopus 로고    scopus 로고
    • Models of spatial spread: Is the theory complete?
    • Hastings, A. (1996). Models of spatial spread: is the theory complete? Ecology.
    • (1996) Ecology
    • Hastings, A.1
  • 12
    • 0020924422 scopus 로고
    • Local movement in herbivorous insects: Applying a passive diffusion model to mark recapture field experiments
    • Kareiva, P. (1983). Local movement in herbivorous insects: applying a passive diffusion model to mark recapture field experiments. Oecologia, Berl., 57, 322-7.
    • (1983) Oecologia, Berl. , vol.57 , pp. 322-327
    • Kareiva, P.1
  • 13
    • 0027524391 scopus 로고
    • Allee dynamics and the spread of invading organisms
    • Lewis, M. A. & Kareiva, P. (1993). Allee dynamics and the spread of invading organisms. Theoret. Popul. Biol., 43, 141-58.
    • (1993) Theoret. Popul. Biol. , vol.43 , pp. 141-158
    • Lewis, M.A.1    Kareiva, P.2
  • 15
    • 0028163464 scopus 로고
    • Use of birth-death-migration processes for describing the spread of insect populations
    • Matis, J. H., Kiffe, T. R. & Otis, G. W. (1994). Use of birth-death-migration processes for describing the spread of insect populations. Environ. Entomol., 23, 18-28.
    • (1994) Environ. Entomol. , vol.23 , pp. 18-28
    • Matis, J.H.1    Kiffe, T.R.2    Otis, G.W.3
  • 16
    • 0000644794 scopus 로고
    • Spatial contact models for ecological and epidemic spread
    • Mollison, D. (1977). Spatial contact models for ecological and epidemic spread. J. R. Statist. Soc., B39, 283-326.
    • (1977) J. R. Statist. Soc. , vol.B39 , pp. 283-326
    • Mollison, D.1
  • 17
    • 0026360188 scopus 로고
    • Dependence of epidemic and population velocities on basic parameters
    • Mollison, D. (1991). Dependence of epidemic and population velocities on basic parameters. Math. Biosci., 107, 255-87.
    • (1991) Math. Biosci. , vol.107 , pp. 255-287
    • Mollison, D.1
  • 18
  • 20
    • 0000692250 scopus 로고
    • Diffusion-type models for avian range expansion
    • ed. Henri Queslet. National Museum of Natural Sciences, University of Ottawa Press, Ottawa
    • Okubo, A. (1988). Diffusion-type models for avian range expansion. In Acta XIX Congressis Internationalis Ornithologici, Vol. 1, ed. Henri Queslet. National Museum of Natural Sciences, University of Ottawa Press, Ottawa, pp. 1038-49.
    • (1988) Acta XIX Congressis Internationalis Ornithologici , vol.1 , pp. 1038-1049
    • Okubo, A.1
  • 22
    • 0000846626 scopus 로고
    • Convergence to pushed fronts
    • Rothe, F. (1981). Convergence to pushed fronts. Rocky Mountain J. Math., 11, 617-33.
    • (1981) Rocky Mountain J. Math. , vol.11 , pp. 617-633
    • Rothe, F.1
  • 23
    • 0009636209 scopus 로고
    • Random dispersal in theoretical populations
    • Skellam, J. G. (1951). Random dispersal in theoretical populations. Biometrika, 38, 196-218.
    • (1951) Biometrika , vol.38 , pp. 196-218
    • Skellam, J.G.1
  • 25
    • 0027090853 scopus 로고
    • Analysing the velocity of animal range expansion
    • van den Bosch, F., Hengeveld, R. & Metz, J. A. J. (1992). Analysing the velocity of animal range expansion. J. Biogeogr., 19, 135-50.
    • (1992) J. Biogeogr. , vol.19 , pp. 135-150
    • Van Den Bosch, F.1    Hengeveld, R.2    Metz, J.A.J.3
  • 26
    • 0001047828 scopus 로고
    • Long time behavior of a class of biological models
    • Weinberger, H. F. (1982). Long time behavior of a class of biological models. SIAM J. Math. Anal., 13, 353-96.
    • (1982) SIAM J. Math. Anal. , vol.13 , pp. 353-396
    • Weinberger, H.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.