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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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https://hal.archives-ouvertes.fr/hal-02274642
Contributor : Aline Marguet Connect in order to contact the contributor
Submitted on : Wednesday, October 28, 2020 - 12:28:32 PM
Last modification on : Tuesday, June 1, 2021 - 3:32:43 AM

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  • HAL Id : hal-02274642, version 2

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Aline Marguet, Charline Smadi. Long time behaviour of continuous-state nonlinear branching processes with catastrophes. 2020. ⟨hal-02274642v2⟩

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