On a Markov chain model for population growth subject to rare catastrophic events
We consider a Markov chain model for population growth subject to rare catastrophic events. In this model, the moves of the process are getting algebraically rare (as from x−λ) when the process visits large heights x, and given a move occurs and the height is large, the chain grows by one unit with large probability or undergoes a rare catastrophic event with small complementary probability ∼γ/x. We assume pure reflection at the origin. This chain is irreducible and aperiodic; it is always recurrent, either positive or null recurrent.
Year of publication: |
2011
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Authors: | Huillet, Thierry E. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 390.2011, 23, p. 4073-4086
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Publisher: |
Elsevier |
Subject: | Population growth | Markov chain | Catastrophic events | Height and length of excursions | Scaling |
Saved in:
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