Large deviations in a population dynamics with catastrophes

A. Logachov, O. Logachova, A. Yambartsev

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)29-37
Number of pages9
JournalStatistics and Probability Letters
Volume149
DOIs
Publication statusPublished - 1 Jun 2019

Keywords

  • Catastrophes
  • Large deviation principle
  • Local large deviation principle
  • Population models

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