Recent preprint

Published papers

Mathematics : PDE analysis

  1. J Garnier and P Lafontaine. Dispersal and good habitat quality promote neutral genetic diversity in metapopulations, Bull Math Biol 83, 20 (2021);
  2. V Calvez, J Garnier and F Patout. A quantitative genetics model with sexual mode of reproduction in the regime of small variance, J École polytechnique --- Mathématiques, 6, 537--579, 10.5802/jep.100, 2019;
  3. N Marculis, J Garnier, R Lui and M A Lewis. Inside dynamics for stage-structured integrodifference equations, J. Math. Biol., 10.1007/s00285-019-01378-9, 2019;
  4. E Bouin, C Henderson,, J Garnier et F Patout. Thin front limit of an integro--differential Fisher--KPP equation with fat--tailed kernels, SIAM J. Math. Anal., 50(3), 3365--3394, 2017;
  5. J Garnier, F Hamel and L Roques. Transition fronts and stretching phenomena for a general class of reaction-dispersion equations, Discrete Contin. Dyn. Syst. Ser. A , sous presse, 2015;
  6. O Bonnefon, J Coville, J Garnier and L Roques. Inside dynamics of solutions of integro-differential equations, Discrete Contin. Dyn. Syst. Ser. B, 19(10): 3057--3085, 2014;
  7. O Bonnefon, J Garnier, F Hamel et L Roques. Inside dynamics of delayed travelling waves, Math. Mod. Nat. Phen., 8: 44--61, 2013;
  8. J Garnier, T Giletti, G Nadin. Maximal and Minimal spreading speed for reaction diffusion equations in nonperiodic slowly varying media, J. Dynam. Differential Equations, 24(3):521--538, 2012;
  9. J Garnier, T Giletti, F Hamel et L Roques. Inside dynamics of pulled et pushed fronts, J. Math. Pures Appl., 11:173--188, 2012;
  10. M Cristofol, J Garnier, F Hamel et L Roques. Uniqueness from pointwise observations in a multi-parameter inverse problem, Comm. Pure Appl. Anal. 11(1): 173--188, 2012;
  11. J Garnier. Accelerating solutions in integro-differential equations, SIAM J. Math. Anal., 43(4): 1955--1974, 2011.

Applied mathematics: ecology et evolution

  1. L Roques, C Desbiez, K Berthier, S Soubeyrand, E Walker, E Klein, J Garnier, B Moury and J Papaix. Emerging strains of watermelon mosaic virus in Southeastern France: model-based estimation of the dates and places of introduction, Scientific Reports, (2021), accepted;
  2. M Martignoni, J Garnier, M Hart and R Tyson. Investigating the impact of the mycorrhizal inoculum on the resident fungal community and on plant growth, Ecol. Model., 2020;
  3. M Martignoni, J Garnier, M Hart and R Tyson. Parasitism within mutualist guilds explains the maintenance of diversity in multi-species mutualisms, Theo. Ecol., 2020;
  4. M Martignoni, M M Hart, R Tyson and J Garnier, Diversity within mutualist guilds promotes coexistence and reduces the risk of invasion from an alien mutualist, Proc. R. Soc. B, 287 (1923), 20192312. http://dx.doi.org/10.1098/rspb.2019.2312, 2020;
  5. S Jenouvrier, M Holland, D Iles, S Labrousse, L Landrum, J Garnier, H Caswell, H Weimerskirch, M La Rue, R Ji, C Barbraud . The Paris Agreement objectives will likely halt future declines of emperor penguins, Global Change Biology, 26(3): 1170--1184. https://doi.org/10.1111/gcb.14864, 2020;
  6. L Roques, J Garnier et G Martin. Beneficial mutation-selection dynamics in finite asexual populations: a free boundary approach, Scientific Reports, DOI: 10.1038/s41598-017-17212-5, 2017;
  7. S Jenouvrier, J Garnier, F Patout et L Desvilette. Influence of dispersal processes on the global dynamics of Emperor penguin, a species threatened by climate change, Biol. Conserv., 212(A):63--73, 2017;
  8. J Garnier, M A Lewis. Expansion under climate change: the genetic consequences , Bull. Math. Biol. , sous presse, 2016;
  9. O Bonnefon, J Coville, J Garnier, F Hamel et L Roques. The spatio-temporal dynamics of neutral genetic diversity, Ecol. Complexity, 20: 282--292, 2014;
  10. L Roques, J Garnier, F Hamel et E Klein. Allee effect promotes diversity in traveling waves of colonization, Proc. Natl. Acad. Sci. USA, 109(23): 8828--8833, 2012;
  11. J Garnier, F Hamel et L Roques. Success rate of a biological invasion and the spatial distribution of the founding population, Bull. Math. Bio., 74:453--473, 2012;

Thesis