The front velocity of the simple epidemic
- 1 June 1979
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 16 (2) , 409-415
- https://doi.org/10.2307/3212908
Abstract
The propagation rate of the one-dimensional stochastic simple epidemic converges almost surely to a front velocity for the epidemic. Percolation methods are used in the proof.Keywords
This publication has 9 references indexed in Scilit:
- Markovian contact processesAdvances in Applied Probability, 1978
- First-Passage Percolation on the Square LatticeLecture Notes in Mathematics, 1978
- Spatial Contact Models for Ecological and Epidemic SpreadJournal of the Royal Statistical Society Series B: Statistical Methodology, 1977
- Postulates for Subadditive ProcessesThe Annals of Probability, 1974
- Percolation processes and tumour growthAdvances in Applied Probability, 1974
- Subadditive Ergodic TheoryThe Annals of Probability, 1973
- Random growth in a tessellationMathematical Proceedings of the Cambridge Philosophical Society, 1973
- The Rate of Spatial Propagation of Simple EpidemicPublished by University of California Press ,1972
- A Two-Dimensional Poisson Growth ProcessJournal of the Royal Statistical Society Series B: Statistical Methodology, 1965