A5005255840- Stochastic processes and statistical mechanics
- Evolution and Genetic Dynamics
- Mathematical and Theoretical Epidemiology and Ecology Models
- Evolutionary Game Theory and Cooperation
- Complex Network Analysis Techniques
- COVID-19 epidemiological studies
- Bayesian Methods and Mixture Models
- Statistical Methods and Inference
- Plant and animal studies
- Hepatitis C virus research
- Markov Chains and Monte Carlo Methods
- Stochastic processes and financial applications
- Point processes and geometric inequalities
- Random Matrices and Applications
- Diffusion and Search Dynamics
- Liver Disease Diagnosis and Treatment
- Theoretical and Computational Physics
- Genetic diversity and population structure
- Data-Driven Disease Surveillance
- Mathematical Dynamics and Fractals
- Mathematical Biology Tumor Growth
- Advanced Clustering Algorithms Research
- HIV, Drug Use, Sexual Risk
- Statistical Methods and Bayesian Inference
- Collagen: Extraction and Characterization
Centre National de la Recherche Scientifique
2015-2024
Université Gustave Eiffel
2019-2024
Université Paris-Est Créteil
2019-2024
Laboratoire d’Analyse et de Mathématiques Appliquées
2017-2024
Stantec (Canada)
2024
Université de Montréal
2024
Laboratoire Paul Painlevé
2011-2020
Laboratoire de Physique des Plasmas
2010-2020
Université de Lille
2010-2020
Laboratoire de Mathématiques
2015
Ecosystems represent archetypal complex dynamical systems, often modelled by coupled differential equations of the form <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="block"><mml:mfrac><mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi></mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mrow><mml:mi...
We consider an SIR epidemic model propagating on a configuration network, where the degree distribution of vertices is given and edges are randomly matched. The evolution summed up into three measure-valued equations that describe degrees susceptible individuals number from infectious or removed individual to set susceptibles. These distributions sufficient course disease. limit in large population investigated. As corollary, this provides rigorous proof obtained by Volz [Mathematical...
Hepatitis C virus (HCV) seroprevalence remains high in people who inject drug (PWID) populations, often above 60%. Highly effective direct‐acting antiviral (DAA) regimens (90% efficacy) are becoming available for HCV treatment. This therapeutic revolution raises the possibility of eliminating from this population. However, this, an cascade care is required. In context DAA therapies, we used a dynamic individual‐based model including PWID social network to simulate impact improved testing,...
An extended SIR model, including several features of the recent COVID-19 outbreak, is considered: infected and recovered individuals can either be detected or undetected we also integrate an intensive care unit (ICU) capacity. We identify optimal policy for controlling epidemic dynamics using both lockdown detection intervention levers, taking into account trade-off between sanitary socio-economic cost pandemic, together with limited capacity level ICU. With parametric specification based on...
Missing data is a recurrent issue in epidemiology where the infection process may be partially observed. Approximate Bayesian Computation, an alternative to imputation methods such as Markov Chain Monte Carlo integration, proposed for making inference epidemiological models. It likelihood-free method that relies exclusively on numerical simulations. ABC consists computing distance between simulated and observed summary statistics weighting simulations according this distance. We propose...
We study the evolution of a particle system whose genealogy is given by supercritical continuous time Galton–Watson tree. The particles move independently according to Markov process and when branching event occurs, offspring locations depend on position mother number offspring. prove law large numbers for empirical measure individuals alive at t. This relies probabilistic interpretation its intensity mean an auxiliary process. latter has same generator as along branches plus additional...
Abstract We investigate the Hawkes processes on positive real line exhibiting both self-excitation and inhibition. Each point of such a process impacts its future intensity by addition signed reproduction function. The case nonnegative function corresponds to self-excitation, has been widely investigated in literature. In particular, there exists cluster representation which allows one apply known results for Galton–Watson trees. use renewal techniques establish limit theorems that have...
We study a continuous-time discrete population structured by vector of ages. Individuals reproduce asexually, age and die. The death rate takes interactions into account. Adapting the approach Fournier Méléard, we show that in large limit, microscopic process converges to measure-valued solution an equation generalizes McKendrick-Von Foerster Gurtin-McCamy PDEs demography. deviations associated with this convergence are studied. upper-bound is established via exponential tightness,...
When controlling an emerging outbreak of infectious disease, it is essential to know the key epidemiological parameters, such as basic reproduction number R0 and control effort required prevent a large outbreak. These parameters are estimated from observed incidence new cases information about contact structures population in which disease spreads. However, relevant for new, infections often unknown or hard obtain. Here, we show that, many common true underlying heterogeneous structures,...
We consider the Directed Spanning Forest (DSF) constructed as follows: given a Poisson point process N on plane, ancestor of each is nearest vertex having strictly larger abscissa. prove that DSF actually tree. Contrary to other directed forests literature, no Markovian can be introduced study paths in our DSF. Our proof based comparison argument between surface and perimeter from percolation theory. then show this result still holds when points belonging an auxiliary Boolean model are...
HCV transmission remains high in people who inject drugs (PWID) Montréal. New direct-acting antivirals (DAAs), highly effective and more tolerable than previous regimens, make a “Treatment as Prevention” (TasP) strategy feasible. This study assesses how improvements the cascade of care could impact hepatitis C burden among PWID We used dynamic model to simulate incidence prevalence after 10 years, cirrhosis complications 40 years. Eight scenarios improved were examined. Using baseline...
Summary Direct‐acting antivirals ( DAA s) represent an opportunity to improve hepatitis C virus HCV ) care cascade. This combined with improved harm reduction interventions may lead elimination especially in people who inject drugs PWID ). We assessed the effectiveness/cost‐effectiveness of improvements and chronic CHC cascade France. used a dynamic model transmission natural history evaluated following: needle/syringe programmes‐opioid substitution therapies, faster diagnosis/linkage care,...
Concerns have been raised about early vs. later impacts of the COVID-19 pandemic on suicidal behavior. However, data remain sparse to date. We investigated all calls for intentional drug or other toxic ingestions eight Poison Control Centers in France between 1st January 2018 and 31st May 2022. Data were extracted from French National Database Poisonings. Calls during study period analyzed using time trends series analyses with SARIMA models (based first two years). Breakpoints determined...
This paper presents a comprehensive analysis of the polarization characteristics specular and dense multipath components (SMC DMC) in large industrial hall based on frequency-domain channel sounding experiments at 1.3 GHz with 22-MHz bandwidth. Twenty-nine positions were measured under line-of-sight (LOS) obstructed LOS (OLOS) scenarios. The RiMAX maximum-likelihood estimator is used to extract full-polarimetric SMC DMC from measurement data by taking into account polarimetric radiating...
In December 2019, the first case of infection with a new virus COVID-19 (SARS-CoV-2), named coronavirus, was reported in city Wuhan, China. At that time, almost nobody paid any attention to it. The pathogen, however, fast proved be extremely infectious and dangerous, resulting about 3–5% mortality. Over few months followed, coronavirus has spread over entire world. end March, total number infections is approaching psychological threshold one million, so far tens thousands deaths. Due high...
This paper is devoted to the presentation and study of a specific stochastic epidemic model accounting for effect contact-tracing on spread an infectious disease. Precisely, one considers here situation in which individuals identified as infected by public health detection system may contribute detecting other providing information related persons with whom they have had possibly contacts. The control strategy, consists examining each individual who has been able be basis collected within...