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Explosion of continuous-state branching processes with competition in Lévy environment (2205.07415v3)
Published 16 May 2022 in math.PR
Abstract: Using the Lyapunov criteria arguments, we find sufficient conditions on explosion/nonexplosion for continuous-state branching processes with competition in L\'evy random environment. In particular, we identify the necessary and sufficient conditions on explosion/nonexplosion when the competition function is a power function and the L\'evy measure of the associated branching mechanism is stable.