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LARGE POPULATION LIMIT AND TIME BEHAVIOUR OF A STOCHASTIC PARTICLE MODEL DESCRIBING AN AGE-STRUCTURED POPULATION

- V. Tran
- Mathematics
- 1 April 2008

We study a continuous-time discrete population structured by a vector of ages. Individuals reproduce asexually, age and die. The death rate takes interactions into account. Adapting the approach of… Expand

HIV with contact tracing: a case study in approximate Bayesian computation.

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Limit theorems for Markov processes indexed by continuous time Galton--Watson trees

- Vincent Bansaye, Jean-François Delmas, Laurence Marsalle, V. Tran
- Mathematics
- 10 November 2009

We study the evolution of a particle system whose genealogy is given by a supercritical continuous time Galton--Watson tree. The particles move independently according to a Markov process and when a… Expand

Branching Feller diffusion for cell division with parasite infection

- Vincent Bansaye, V. Tran
- Biology
- 2 April 2010

We now deal with a continuous time model for dividing cells which are infected by parasites. We assume that parasites proliferate in the cells and that their lifetimes are much shorter than the cell… Expand

Predicting data saturation in qualitative surveys with mathematical models from ecological research.

- V. Tran, R. Porcher, V. Tran, P. Ravaud
- MathematicsJournal of clinical epidemiology
- 1 February 2017

Slow and fast scales for superprocess limits of age-structured populations

- S. M'el'eard, V. Tran
- Economics
- 26 June 2010

Large graph limit for an SIR process in random network with heterogeneous connectivity

- L. Decreusefond, J. Dhersin, P. Moyal, V. Tran
- Mathematics
- 22 July 2010

We consider an SIR epidemic model propagating on a Configuration Model network, where the degree distribution of the vertices is given and where the edges are randomly matched. The evolution of the… Expand

Trait Substitution Sequence process and Canonical Equation for age-structured populations

- S. Méléard, V. Tran
- MathematicsJournal of mathematical biology
- 27 March 2009

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Stochastic and deterministic models for age-structured populations with genetically variable traits

- R. Ferrière, V. Tran
- Mathematics, Biology
- 22 September 2008

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Effectiveness and cost‐effectiveness of interventions targeting harm reduction and chronic hepatitis C cascade of care in people who inject drugs: The case of France

- A. Cousien, V. Tran,
+4 authors Y. Yazdanpanah - Medicine, Political ScienceJournal of viral hepatitis
- 1 October 2018

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