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Long Time Behaviour of Continuous-state Nonlinear Branching Processes with Catastrophes by Marguet, Aline; Smadi, Charline is a scholarly article available to read on EtoBox.

What is Long Time Behaviour of Continuous-state Nonlinear Branching Processes with Catastrophes about?

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.

Author

Marguet, Aline; Smadi, Charline

Published

2019

Language

EN