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LARGE POPULATION LIMIT AND TIME BEHAVIOUR OF A STOCHASTIC PARTICLE MODEL DESCRIBING AN AGE-STRUCTURED POPULATION
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…
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HIV with contact tracing: a case study in approximate Bayesian computation.
TLDR
An original extension of ABC to path-valued summary statistics, corresponding to the cumulated number of detections as a function of time, is proposed, and the percentage of undetected infectious individuals is found to be of the order of 40%.
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Limit theorems for Markov processes indexed by continuous time Galton--Watson trees
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…
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Branching Feller diffusion for cell division with parasite infection
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…
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Predicting data saturation in qualitative surveys with mathematical models from ecological research.
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Slow and fast scales for superprocess limits of age-structured populations
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Large graph limit for an SIR process in random network with heterogeneous connectivity
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…
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Trait Substitution Sequence process and Canonical Equation for age-structured populations
TLDR
A continuous time, discrete individual-centered population process is started that generalizes the Trait Substitution Sequence process describing Adaptive Dynamics for populations without age structure and derives an age-dependent ordinary differential equation that extends the Canonical Equation.
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Stochastic and deterministic models for age-structured populations with genetically variable traits
TLDR
A stochastic individual- centered particle model is introduced to describe the evolution in continuous time of a population with (continuous) age and trait structures and the results on the limiting PDE and large deviation techniquesla Freidlin-Wentzell provide estimates of the extinction time and a better understanding of the long time behavior of the Stochastic process.
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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
TLDR
This study illustrated the high effectiveness, and cost‐effectiveness, of a faster diagnosis/linkage to care together with treatment from F0 with DAAs, which should play a central role both in improving the life expectancies of HCV‐infected patients, and in reducing HCV transmission.
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