Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ball, F. (1983) The threshold behaviour of epidemic models. J. Appl. Prob. 20, 227–241.
Kelly, F.P. (1977) In discussion of Mollison (1977), 318–319.
Kesten, H. (1980) The critical probability of bond percolation on the square lattice equals 1/2. Commun. Math. Phys. 74, 41–59.
Kuulasmaa, K. (1982) The spatial general epidemic and locally dependent random graphs. J. Appl. Prob. 19, 745–758.
Kuulasmaa, K. (1983) Locally dependent random graphs and their use in the study of epidemic models. Preprint.
Kuulasmaa, K. and Zachary, S. (1984) On spatial general epidemics and bond percolation processes. J. Appl. Prob. 21, to appear.
Mollison, D. (1977) Spatial contact models for ecological and epidemic spread. J. R. Statist. Soc. B 39, 283–326.
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.
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.
Wierman, J.C. (1981) Bond percolation on honeycomb and triangular lattices. Adv. Appl. Prob. 13, 298–313.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1986 Springer-Verlag
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0076249
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16803-4
Online ISBN: 978-3-540-47053-3
eBook Packages: Springer Book Archive