Long time behaviour of continuous-state nonlinear branching processes with catastrophes - Inria - Institut national de recherche en sciences et technologies du numérique
Journal Articles Electronic Journal of Probability Year : 2021

Long time behaviour of continuous-state nonlinear branching processes with catastrophes

Abstract

Motivated by the study of a parasite infection in a cell line, we introduce a general class of Markov processes for the modelling of population dynamics.The population process evolves as a diffusion with positive jumps whose rate is a function of the population size. It also undergoes catastrophic events which kill a fraction of the population, at a rate depending on the population state. We study the long time behaviour of this class of processes.
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Dates and versions

hal-02274642 , version 1 (30-08-2019)
hal-02274642 , version 2 (28-10-2020)
hal-02274642 , version 3 (31-05-2021)
hal-02274642 , version 4 (29-06-2021)

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Cite

Aline Marguet, Charline Smadi. Long time behaviour of continuous-state nonlinear branching processes with catastrophes. Electronic Journal of Probability, 2021, 26, pp.95. ⟨10.1214/21-EJP664⟩. ⟨hal-02274642v4⟩
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