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Bacterial Metabolic Heterogeneity: from Stochastic to Deterministic Models

Carl Graham , Jérôme Harmand , Sylvie Méléard , Josué Tchouanti
Mathematical Biosciences and Engineering, 2020, 17 (5), pp.5120-5133. ⟨10.3934/mbe.2020276⟩
Journal articles hal-02592424v1
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Quasi-stationary distributions for structured birth and death processes with mutations

Pierre Collet , Servet Martinez , Sylvie Méléard , Jaime San Martin
Preprints, Working Papers, ... hal-00377518v1
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Stochastic dynamics of adaptive trait and neutral marker driven by eco-evolutionary feedbacks

Sylvain Billiard , Regis Ferriere , Sylvie Méléard , Viet Chi Tran
Journal of Mathematical Biology, 2015, 71 (5), pp.1211-1242. ⟨10.1007/s00285-014-0847-y⟩
Journal articles hal-00875991v3
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Influence of a spatial structure on the long time behavior of a competitive Lotka-Volterra type system

Hélène Leman , Sylvie Meleard , Sepideh Mirrahimi
Discrete and Continuous Dynamical Systems - Series B, 2015, 20 (2), pp.469-493
Journal articles hal-00924459v1
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Filling the gap between individual-based evolutionary models and Hamilton-Jacobi equations

Nicolas Champagnat , Sylvie Méléard , Sepideh Mirrahimi , Viet-Chi Tran
Preprints, Working Papers, ... hal-03656608v2
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Scaling limits of general population processes - Wright-Fisher and branching processes in random environment

Vincent Bansaye , Maria-Emilia Caballero , Sylvie Méléard
Preprints, Working Papers, ... hal-01702458v2
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Horizontal gene transfer: numerical comparison between stochastic and deterministic approaches

Vincent Calvez , Susely Figueroa Iglesias , Hélène Hivert , Sylvie Méléard , Anna Melnykova , et al.
ESAIM: Proceedings and Surveys, 2020, CEMRACS 2018 - Numerical and mathematical modeling for biological and medical applications: deterministic, probabilistic and statistical descriptions, 67, pp.135-160. ⟨10.1051/proc/202067009⟩
Journal articles hal-02166168v1
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A birth–death model of ageing: from individual-based dynamics to evolutive differential inclusions

Sylvie Méléard , Michael Rera , Tristan Roget
Journal of Mathematical Biology, 2019, 79 (3), pp.901-939. ⟨10.1007/s00285-019-01382-z⟩
Journal articles hal-02347631v1


Djalil Chafaï , Christophe Giraud , Sylvie Méléard
Pascale Harinck, Alain Plagne, Claude Sabbah. Éditions de l'École Polytechnique, pp.130, 2013, Journées mathématiques X-UPS, 978-2-7302-1622-7
Books hal-00980611v1
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Uniform estimates for metastable transition times in a coupled bistable system

Florent Barret , Anton Bovier , Sylvie Méléard
Electronic Journal of Probability, 2010, 15 (12)
Journal articles hal-00400832v2
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Scaling limits of bisexual Galton-Watson processes

Vincent Bansaye , Maria-Emilia Caballero , Sylvie Méléard , Jaime San Martin
Preprints, Working Papers, ... hal-02859954v1
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Inference with selection, varying population size and evolving population structure: Application of ABC to a forward-backward coalescent process with interactions

Clotilde Lepers , Sylvain Billiard , Matthieu Porte , Sylvie Méléard , Viet-Chi Tran
Heredity, 2021, 126, pp.335-350. ⟨10.1038/s41437-020-00381-x⟩
Journal articles hal-02327455v2
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Singular limits for reaction-diffusion equations with fractional Laplacian and local or nonlocal nonlinearity

Sylvie Méléard , Sepideh Mirrahimi
Communications in Partial Differential Equations, 2015, 40 (5), pp.957-993. ⟨10.1080/03605302.2014.963606⟩
Journal articles hal-00992826v1
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Limiting Feller diffusions for logistic populations with age-structure

Sylvie Méléard , J.A.J. Metz , Viet Chi Tran
ISI2011, Aug 2011, Dublin, Ireland. pp.IPS013.01
Conference papers hal-00595928v2
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Time reversal of spinal processes for linear and non-linear branching processes near stationarity

Benoît Henry , Sylvie Méléard , Viet-Chi Tran
Preprints, Working Papers, ... hal-03525599v1
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Slow and fast scales for superprocess limits of age-structured populations

Sylvie Méléard , Viet Chi Tran
Stochastic Processes and their Applications, 2012, 122 (1), pp.250-276. ⟨10.1016/⟩
Journal articles hal-00495397v5
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Quasi-Stationary Distributions and Resilience: What to get from a sample?

Jean-René Chazottes , Pierre Collet , Sylvie Méléard , Servet Martínez
Journal de l'École polytechnique — Mathématiques, 2020
Journal articles hal-02167101v3
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Impact of demography on extinction/fixation events

Camille Coron , Sylvie Méléard , Denis Villemonais
Journal of Mathematical Biology, 2019, 78 (3), pp.549-577. ⟨10.1007/s00285-018-1283-1⟩
Journal articles hal-01514977v2
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Diffusions from Infinity

Vincent Bansaye , Pierre Collet , Servet Martinez , Sylvie Méléard , Jaime San Martin
Preprints, Working Papers, ... hal-01639034v1
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Trait Substitution Sequence process and Canonical Equation for age-structured populations

Sylvie Méléard , Viet Chi Tran
Journal of Mathematical Biology, 2009, 58 (6), pp.881-921. ⟨10.1007/s00285-008-0202-2⟩
Journal articles hal-00181811v2
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Stochastic models for a chemostat and long time behavior

Pierre Collet , Servet Martinez , Sylvie Meleard , Jaime San Martin
Preprints, Working Papers, ... hal-00708680v1
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Quantifying the Mutational Meltdown in Diploid Populations

Camille Coron , Sylvie Méléard , Emmanuelle Porcher , Alexandre Robert
The American Naturalist, 2013, 181 (5), pp.623-636. ⟨10.1086/670022⟩
Journal articles mnhn-02265203v1
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Quasi-stationary distributions and population processes

Sylvie Méléard , Denis Villemonais
Probability Surveys, 2012, 9, pp.340-410. ⟨10.1214/11-PS191⟩
Journal articles hal-00653834v1
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Speed of coming down from infinity for birth and death processes

Vincent Bansaye , Sylvie Méléard , Mathieu Richard
Preprints, Working Papers, ... hal-00877388v2
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Dynamics of lineages in adaptation to a gradual environmental change

Vincent Calvez , Benoît Henry , Sylvie Méléard , Viet Chi Tran
Annales Henri Lebesgue, 2022, 5, pp.729-777. ⟨10.5802/ahl.135⟩
Journal articles hal-03205023v1
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Some stochastic models for structured populations : scaling limits and long time behavior

Vincent Bansaye , Sylvie Méléard
Preprints, Working Papers, ... hal-01162547v2
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Multistage hematopoietic stem cell regulation in the mouse: A combined biological and mathematical approach

Celine Bonnet , Panhong Gou , Simon Girel , Vincent Bansaye , Catherine Lacout , et al.
Journal articles hal-03796041v1
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Nonlinear historical superprocess approximations for population models with past dependence

Sylvie Méléard , Viet Chi Tran
Electronic Journal of Probability, 2012, 17 (47), pp.1-32. ⟨10.1214/EJP.v17-2093⟩
Journal articles hal-00607553v3