Large deviations in a population dynamics with catastrophes

A. Logachov, O. Logachova and A. Yambartsev

Statistics & Probability Letters, 2019, vol. 149, issue C, 29-37

Abstract: The large deviation principle on phase space is proved for a class of Markov processes known as random population dynamics with catastrophes. In the paper we study the process which corresponds to the random population dynamics with linear growth and uniform catastrophes, where an eliminating portion of the population is chosen uniformly. The large deviation result provides an optimal trajectory of large fluctuation: it shows how the large fluctuations occur for this class of processes.

Keywords: Population models; Catastrophes; Large deviation principle; Local large deviation principle (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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DOI: 10.1016/j.spl.2019.01.029

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