On a Markov chain model for population growth subject to rare catastrophic events

Thierry E. Huillet

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 23, 4073-4086

Abstract: 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.

Keywords: Population growth; Markov chain; Catastrophic events; Height and length of excursions; Scaling (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:23:p:4073-4086

DOI: 10.1016/j.physa.2011.06.066

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