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Volumn 335, Issue 2, 1998, Pages 199-211

Forest-fire as a model for the dynamics of disease epidemics

Author keywords

[No Author keywords available]

Indexed keywords

DISEASES; MATHEMATICAL MODELS; NONLINEAR SYSTEMS;

EID: 0032018838     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0016-0032(96)00096-8     Document Type: Article
Times cited : (22)

References (29)
  • 2
    • 0006170098 scopus 로고
    • Fluctuations in the abundance of a species considered mathematically
    • V. Volterra, "Fluctuations in the abundance of a species considered mathematically", Nature, Vol. 118, pp. 558-560, 1926.
    • (1926) Nature , vol.118 , pp. 558-560
    • Volterra, V.1
  • 5
    • 0000998185 scopus 로고
    • A contribution to the mathematical theory of epidemics
    • W. O. Kermack and McKendrick, "A contribution to the mathematical theory of epidemics", Proc. R. Soc., Vol. A 115, pp. 700-721, 1927.
    • (1927) Proc. R. Soc. , vol.A115 , pp. 700-721
    • Kermack, W.O.1
  • 6
    • 0002426167 scopus 로고
    • Interpretation of periodicity in disease-prevalence
    • H. E. Soper, "Interpretation of periodicity in disease-prevalence", J. R. Statisc. Soc., Vol. 92, pp. 34-73, 1929.
    • (1929) J. R. Statisc. Soc. , vol.92 , pp. 34-73
    • Soper, H.E.1
  • 7
    • 0017185443 scopus 로고
    • Simple mathematical models with very complicated dynamics
    • R. M. May, "Simple mathematical models with very complicated dynamics", Nature, Vol. 261, pp. 459-467, 1976.
    • (1976) Nature , vol.261 , pp. 459-467
    • May, R.M.1
  • 9
    • 4244049965 scopus 로고
    • A forest-fire model and some thoughts on turbulence
    • P. Bak, K. Chen and C. Tang, "A forest-fire model and some thoughts on turbulence", Phys. Lett., Vol. A 147, pp. 297-300, 1990.
    • (1990) Phys. Lett. , vol.A147 , pp. 297-300
    • Bak, P.1    Chen, K.2    Tang, C.3
  • 10
    • 25344440586 scopus 로고
    • Scaling laws and simulation results for the self-organised critical forest-fire model
    • S. Clar, B. Drossel and F. Schwabl, "Scaling laws and simulation results for the self-organised critical forest-fire model", Phys. Rev., Vol. E 50, pp. 1009-1018, 1994.
    • (1994) Phys. Rev. , vol.E50 , pp. 1009-1018
    • Clar, S.1    Drossel, B.2    Schwabl, F.3
  • 11
    • 0001445250 scopus 로고
    • Self-organised critical forest-fire model
    • B. Drossel and F. Schwabl, "Self-organised critical forest-fire model", Phys. Rev. Lett., Vol. 69, pp. 1629-1632, 1992.
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 1629-1632
    • Drossel, B.1    Schwabl, F.2
  • 12
    • 0001405007 scopus 로고
    • Forest-fire model with immune trees
    • B. Drossel and F. Schwabl, "Forest-fire model with immune trees", Physica, Vol. A 199. pp. 183-197, 1993.
    • (1993) Physica , vol.A199 , pp. 183-197
    • Drossel, B.1    Schwabl, F.2
  • 13
    • 0040296103 scopus 로고
    • Formation of space-time structure in a forest-fire model
    • B. Drossel and F. Schwabl, "Formation of space-time structure in a forest-fire model", Physica, Vol. A 204, pp. 212-229, 1994.
    • (1994) Physica , vol.A204 , pp. 212-229
    • Drossel, B.1    Schwabl, F.2
  • 14
    • 0008460841 scopus 로고
    • Computer simulations of the forest-fire model
    • W. K. Mossner, B. Drossel and F. Schwabl, "Computer simulations of the forest-fire model", Physica, Vol. A. 190, pp. 205-217, 1992.
    • (1992) Physica , vol.A190 , pp. 205-217
    • Mossner, W.K.1    Drossel, B.2    Schwabl, F.3
  • 15
    • 0000787006 scopus 로고
    • Spatio-temporal self-organisation in a model of disease spreading
    • A. Johansen, "Spatio-temporal self-organisation in a model of disease spreading", Physica, Vol. D 78, pp. 186-190, 1994.
    • (1994) Physica , vol.D78 , pp. 186-190
    • Johansen, A.1
  • 16
    • 0029970350 scopus 로고    scopus 로고
    • A simple model of recurrent epidemics
    • A. Johansen, "A simple model of recurrent epidemics", J. Theo. Biol., Vol. 178, pp. 45-51, 1996.
    • (1996) J. Theo. Biol. , vol.178 , pp. 45-51
    • Johansen, A.1
  • 17
    • 0029993942 scopus 로고    scopus 로고
    • Power laws governing epidemics in isolated populations
    • C. J. Rhodes and R. M. Anderson, "Power laws governing epidemics in isolated populations", Nature, Vol. 381, pp. 600-602, 1996.
    • (1996) Nature , vol.381 , pp. 600-602
    • Rhodes, C.J.1    Anderson, R.M.2
  • 18
    • 0042252650 scopus 로고    scopus 로고
    • A scaling analysis of measles epidemics in a small island population
    • in press
    • C. J. Rhodes and R. M. Anderson, "A scaling analysis of measles epidemics in a small island population", Phil. Trans. R. Soc., in press.
    • Phil. Trans. R. Soc.
    • Rhodes, C.J.1    Anderson, R.M.2
  • 19
    • 0003322286 scopus 로고
    • Spatial epidemic models
    • Publications of the Newton Institute, Cambridge University Press
    • R. Durrett, "Spatial epidemic models", in "Epidemic Models: Their Structure and Relation to Data", Publications of the Newton Institute, Cambridge University Press, 1995.
    • (1995) Epidemic Models: Their Structure and Relation to Data
    • Durrett, R.1
  • 20
    • 0028248821 scopus 로고
    • The importance of being discrete (and spatial)
    • R. Durrett and S. A. Levin, "The importance of being discrete (and spatial)", Theor. Popul. Biol., Vol. 46, pp. 363-394, 1994.
    • (1994) Theor. Popul. Biol. , vol.46 , pp. 363-394
    • Durrett, R.1    Levin, S.A.2
  • 21
    • 0028552640 scopus 로고
    • Stochastic spatial models: A user's guide to ecological applications
    • R. Durrett and S. A. Levin, "Stochastic spatial models: a user's guide to ecological applications", Phil. Trans. R. Soc. Lond., Vol. B 343, pp. 329-350, 1994.
    • (1994) Phil. Trans. R. Soc. Lond. , vol.B343 , pp. 329-350
    • Durrett, R.1    Levin, S.A.2
  • 23
    • 0026268962 scopus 로고
    • Spatial structure and chaos in insect population dynamics
    • M. P. Hassell, H. N. Comins and R. M. May, "Spatial structure and chaos in insect population dynamics", Nature, Vol. 353, pp. 255-258, 1991.
    • (1991) Nature , vol.353 , pp. 255-258
    • Hassell, M.P.1    Comins, H.N.2    May, R.M.3
  • 24
    • 0022847795 scopus 로고
    • On the spatial spread of rabies among foxes
    • J. D. Murray, A. E. Stanley and D. L. Brown, "On the spatial spread of rabies among foxes", Proc. R. Soc., Vol. B 229, pp. 111-150, 1986.
    • (1986) Proc. R. Soc. , vol.B229 , pp. 111-150
    • Murray, J.D.1    Stanley, A.E.2    Brown, D.L.3
  • 25
    • 0016135893 scopus 로고
    • Geographic and temporal development of plagues
    • J. V. Noble, "Geographic and temporal development of plagues", Nature, Vol. 250, pp. 726-728, 1974.
    • (1974) Nature , vol.250 , pp. 726-728
    • Noble, J.V.1
  • 27
    • 0028987535 scopus 로고
    • Are rainforests self-organised in a critical state?
    • R. V. Solé and S. C. Manrubia, "Are rainforests self-organised in a critical state?", J. Theo. Biol., Vol. 173, pp. 31-40, 1995.
    • (1995) J. Theo. Biol. , vol.173 , pp. 31-40
    • Solé, R.V.1    Manrubia, S.C.2
  • 28
    • 0029771995 scopus 로고    scopus 로고
    • Are critical phenomena relevant to large-scale evolution?
    • R. V. Solé and J. Bascompte, "Are critical phenomena relevant to large-scale evolution?", Proc. R. Soc., Vol. B 263, pp. 161-168, 1996.
    • (1996) Proc. R. Soc. , vol.B263 , pp. 161-168
    • Solé, R.V.1    Bascompte, J.2
  • 29
    • 0000977225 scopus 로고
    • Renormalisation-group approach to the critical behaviour of the forest-fire model
    • V. Loreto, L. Pietronero, A. Vespignani and S. Zapperi, "Renormalisation-group approach to the critical behaviour of the forest-fire model", Phys. Rev. Lett., Vol. 75, pp. 465-468, 1995.
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 465-468
    • Loreto, V.1    Pietronero, L.2    Vespignani, A.3    Zapperi, S.4


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