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

Aline Marguet 1 Charline Smadi 2 
1 IBIS - Modeling, simulation, measurement, and control of bacterial regulatory networks
LAPM - Laboratoire Adaptation et pathogénie des micro-organismes [Grenoble], Inria Grenoble - Rhône-Alpes, Institut Jean Roget
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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Submitted on : Wednesday, October 28, 2020 - 12:28:32 PM
Last modification on : Wednesday, December 8, 2021 - 2:06:02 PM


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  • HAL Id : hal-02274642, version 2


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



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