Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 391, Issue 19, Pages 4483-4486Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2012.05.004
Keywords
Time to extinction; Quasi-stationarity; Epidemic; Markov chain
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Funding
- Government of Spain (Department of Science and Innovation)
- European Commission [MTM 2011-23864]
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This note provides a unified approach to the distribution of the time to extinction from quasi-stationarity for general Markov chains evolving both in discrete and in continuous time. Our results generalize a number of similar derivations which were established ad hoc for a variety of stochastic epidemic models. On the other hand, the obtained results unify the infinite irreducible case and the finite (reducible or irreducible) case which are typically presented under separate formulations in the literature for Markov chains. (C) 2012 Elsevier B.V. All rights reserved.
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