Bounds on the velocity of spread of infection for a spatially connected epidemic process
- 1 September 1980
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 17 (3) , 839-845
- https://doi.org/10.2307/3212977
Abstract
The simple (non-spatial) stochastic epidemic is generalised to allow infected individuals to move forward through a system of spatially connected coloniesC1,C2,C3, ·· ·each containing susceptible individuals. Upper and lower bounding processes are considered, to establish bounds on the asymptotic velocity of forward spread of the infection through these spatially connected colonies. These bounds are shown to be asymptotically equivalent under certain conditions, and some simulations reveal other features of the process.Keywords
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