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Explosion of continuous-state branching processes with competition in a Lévy environment
Published online by Cambridge University Press: 09 June 2023
Abstract
We find sufficient conditions on explosion/non-explosion for continuous-state branching processes with competition in a Lévy random environment. In particular, we identify the necessary and sufficient conditions on explosion/non-explosion when the competition function is a power function and the Lévy measure of the associated branching mechanism is stable.
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- © The Author(s), 2023. Published by Cambridge University Press on behalf of Applied Probability Trust