On the growth of one-dimensional reverse immunization contact processes
Probability
2011-03-23 v3
Abstract
We are concerned with the supercritical contact process modified so 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 to this modified case.
Keywords
Cite
@article{arxiv.1010.0629,
title = {On the growth of one-dimensional reverse immunization contact processes},
author = {Achilleas Tzioufas},
journal= {arXiv preprint arXiv:1010.0629},
year = {2011}
}
Comments
Due to appear, Journal of Applied Probability 48.3 (September 2011)