Journal of Applied Probability
- J. Appl. Probab.
- Volume 48, Number 3 (2011), 611-623.
On the growth of the one-dimensional reverse immunization contact processes
We are concerned with the variation of the supercritical nearest-neighbours contact process such that first infection occurs at a lower rate; it is known that the process survives with positive probability. Regarding the rightmost infected of the process started from one site infected and conditioned to survive, we specify a sequence of space-time points at which its behaviour regenerates and, thus, obtain the corresponding strong law and central limit theorem. We also extend complete convergence in this case.
J. Appl. Probab., Volume 48, Number 3 (2011), 611-623.
First available in Project Euclid: 23 September 2011
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Tzioufas, A. On the growth of the one-dimensional reverse immunization contact processes. J. Appl. Probab. 48 (2011), no. 3, 611--623. doi:10.1239/jap/1316796902. https://projecteuclid.org/euclid.jap/1316796902