On the extinction of continuous state branching processes with competition

V. Le

Statistics & Probability Letters, 2022, vol. 185, issue C

Abstract: Consider a continuous state branching process (CSBP) with finite mean and an interaction term, which destroys the branching property. We give precise conditions on the interaction function, in order to decide whether the process goes extinct almost surely in finite time. We also give a result for the associated Lévy process with drift.

Keywords: Continuous state branching processes; Competition; Lévy processes with drift; Extinction (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1016/j.spl.2022.109410

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