Extinction time and the total mass of the continuous-state branching processes with competition |
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| Authors: | Vi Le Etienne Pardoux |
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| Institution: | 1. VNU University of Science, Hanoi, VietNam levi121286@vnu.edu.vn https://orcid.org/0000-0003-3360-8023;3. Aix Marseille Univ, CNRS, Centrale Marseille, I2M, Marseille, France |
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| Abstract: | Consider a general continuous-state branching process with additional interaction, which destroys the branching property. We give precise conditions on the interaction term, in order to decide whether the extinction time of the process remains or not bounded as the initial value tends to infinity, and similarly for the total mass of the process. |
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| Keywords: | Continuous-state branching processes competition Lévy processes with drift extinction time total mass |
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https://orcid.org/0000-0003-3360-8023;3. Aix Marseille Univ, CNRS, Centrale Marseille, I2M, Marseille, France