4 papers
Extinction time of an epidemic with infection age dependent infectivity
Anicet Mougabe-Peurkor, Ibrahima Drame, Modeste N'zi +1
This paper studies the distribution function of the time of extinction of a subcritical epidemic, when a large enough proportion of the population has been immunized and/or the inf…
A new approximation of the Height process of a CSBP
Ibrahima Drame
We code Galton-Walton trees by a continuous height process, in order to give a precise meaning to the convergence of forests of trees. This allows us to establish the convergence o…
Convergence to a Continuous State Branching Process with jumps and Height Process
Ibrahima Drame, Etienne Pardoux
In this work, we study asymptotics of the genealogy of Galton-Watson processes. Thus we consider a offspring distribution such that the rescaled Galton-Watson processes converges t…
Approximation of the Height process of a CSBP with interaction
Ibrahima Drame, Etienne Pardoux
In this work, we first show that the properly rescaled height process of the genealogical tree of a continuous time branching process converges to the height process of the genealo…