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On the reproduction rate of the spatial general epidemic

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Stochastic Spatial Processes

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1212))

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References

  1. Ball, F. (1983) The threshold behaviour of epidemic models. J. Appl. Prob. 20, 227–241.

    Article  MathSciNet  MATH  Google Scholar 

  2. Kelly, F.P. (1977) In discussion of Mollison (1977), 318–319.

    Google Scholar 

  3. Kesten, H. (1980) The critical probability of bond percolation on the square lattice equals 1/2. Commun. Math. Phys. 74, 41–59.

    Article  MathSciNet  MATH  Google Scholar 

  4. Kuulasmaa, K. (1982) The spatial general epidemic and locally dependent random graphs. J. Appl. Prob. 19, 745–758.

    Article  MathSciNet  MATH  Google Scholar 

  5. Kuulasmaa, K. (1983) Locally dependent random graphs and their use in the study of epidemic models. Preprint.

    Google Scholar 

  6. Kuulasmaa, K. and Zachary, S. (1984) On spatial general epidemics and bond percolation processes. J. Appl. Prob. 21, to appear.

    Google Scholar 

  7. Mollison, D. (1977) Spatial contact models for ecological and epidemic spread. J. R. Statist. Soc. B 39, 283–326.

    MathSciNet  MATH  Google Scholar 

  8. Mollison, D. (1981) The importance of demographic stochasticity in population dynamics. In The Mathematical Theory of the Dynamics of Biological Populations II, ed. R.W. Hiorns and D.L. Cooke. Academic Press, London, 99–107.

    Google Scholar 

  9. Mollison, D. and Kuulasmaa, K. (1985) Spatial epidemic models: theory and simulations. To appear in The Population Dynamics of Wildlife Rabies, ed. P.J. Bacon. Academic Press, London.

    Google Scholar 

  10. Wierman, J.C. (1981) Bond percolation on honeycomb and triangular lattices. Adv. Appl. Prob. 13, 298–313.

    Article  MathSciNet  MATH  Google Scholar 

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Petre Tautu

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© 1986 Springer-Verlag

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Kuulasmaa, K. (1986). On the reproduction rate of the spatial general epidemic. In: Tautu, P. (eds) Stochastic Spatial Processes. Lecture Notes in Mathematics, vol 1212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076249

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  • DOI: https://doi.org/10.1007/BFb0076249

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  • Print ISBN: 978-3-540-16803-4

  • Online ISBN: 978-3-540-47053-3

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