Publications and preprints, following the order in my CV. PDF links are provided alongside each reference.

  1. G. Conforti, A. Durmus, L.-T.-N. Pham and G. Raoul. Non-Asymptotic Convergence of Discrete Diffusion Models: Masked and Random Walk dynamics. Submitted (2026). [PDF]
  2. P. Magal and G. Raoul. On measure-valued solutions for a structured population model with transfers. Preprint (2025). [PDF]
  3. V. Bansaye, G. Raoul and M. Tomašević. Growing random planar network with oriented branching and fusion. Preprint (2026). [PDF]
  4. M. Alfaro, G. Raoul and O. Ronce. When do leading and rear edges of the range shift slower or faster than climate? Insights from a mathematical model. Journal of Evolutionary Biology (accepted). [PDF]
  5. G. Raoul. Exponential convergence to a steady-state for a population genetics model with sexual reproduction and selection. Kinetic and Related Models (accepted). [PDF]
  6. P. Magal and G. Raoul. Dynamics of a kinetic model describing protein exchanges in a cell population. Journal of Mathematical Biology 91, article 76 (2025). [PDF]
  7. S. Boucenna, V. Dakos and G. Raoul. A model for a population of trees structured by phenological traits. Mathematical Biosciences 395, 109640 (2026). [PDF]
  8. G. Raoul. Macroscopic limit from a structured population model to the Kirkpatrick–Barton model. Bulletin des Sciences Mathématiques 205, 103697 (2025). [PDF]
  9. S. Boucenna, G. Raoul and V. Dakos. Evolution between two competing macrophyte populations along a resource gradient leads to collapse in a bistable lake ecosystem. Theoretical Population Biology 164, 23–36 (2025). [PDF]
  10. Q. Griette, M. Alfaro, G. Raoul and S. Gandon. Evolution and spread of multiadapted pathogens in a spatially heterogeneous environment. Evolution Letters 8(3), 427–436 (2024). [PDF]
  11. P. Maillard, G. Raoul and J. Tourniaire. Spatial dynamics of a population in a heterogeneous environment. Preprint (2021). [PDF]
  12. C. Berardo, S. Geritz, M. Gyllenberg and G. Raoul. Interactions between different predator–prey states: a method for the derivation of the functional and numerical response. Journal of Mathematical Biology 80, 2431–2468 (2020). [PDF]
  13. V. Calvez, J. Crevat, L. Dekens, B. Fabrèges, F. Kuczma, F. Lavigne and G. Raoul. Influence of the mode of reproduction on dispersal evolution during species invasion. ESAIM: Proceedings and Surveys 67, 120–134 (2020). [PDF]
  14. J. Méndez-Vera, G. Raoul, F. Massol and N. Loeuille. Effects of variations in adaptation potential on invasion speeds and species ranges. Preprint (2019/2020). [PDF]
  15. N. Berestycki, C. Mouhot and G. Raoul. Existence of self-accelerating fronts for a non-local reaction-diffusion equation. Preprint (2015). [PDF]
  16. M. Alfaro, H. Berestycki and G. Raoul. The effect of climate shift on a species submitted to dispersion, evolution, growth and nonlocal competition. SIAM Journal on Mathematical Analysis 49(1), 562–596 (2017). [PDF]
  17. R. Aguilée, G. Raoul, F. Rousset and O. Ronce. Pollen dispersal slows geographical range shift and accelerates ecological niche shift under climate change. Proceedings of the National Academy of Sciences USA 113(39), E5741–E5748 (2016). [PDF]
  18. A. Calsina, S. Cuadrado, L. Desvillettes and G. Raoul. Asymptotic profile in selection-mutation equations: Gauss versus Cauchy distributions. Journal of Mathematical Analysis and Applications 444(2), 1515–1541 (2016). [PDF]
  19. Q. Griette and G. Raoul. Existence and qualitative properties of travelling waves for an epidemiological model with mutations. Journal of Differential Equations 260, 7115–7151 (2016). [PDF]
  20. Q. Griette, G. Raoul and S. Gandon. Virulence evolution at the front line of spreading epidemics. Evolution 69(11), 2810–2819 (2015). [PDF]
  21. V. Calvez, G. Raoul and C. Schmeiser. Confinement by biased velocity jumps: aggregation of E. coli. Kinetic and Related Models 8(4), 651–666 (2015). [PDF]
  22. P. Degond, A. Frouvelle and G. Raoul. Local stability of perfect alignment for a spatially homogeneous kinetic model. Journal of Statistical Physics 157(1), 84–112 (2014). [PDF]
  23. M. Alfaro, J. Coville and G. Raoul. Bistable travelling waves for nonlocal reaction diffusion equations. Discrete and Continuous Dynamical Systems 34(5), 1775–1791 (2014). [PDF]
  24. M. Alfaro, J. Coville and G. Raoul. Travelling waves in a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait. Communications in Partial Differential Equations 38(12), 2126–2154 (2013). [PDF]
  25. D. Balagué, J. A. Carrillo, T. Laurent and G. Raoul. Dimensionality of local minimizers of the interaction energy. Archive for Rational Mechanics and Analysis 209(3), 1055–1088 (2013). [PDF]
  26. S. Mirrahimi and G. Raoul. Dynamics of sexual populations structured by a space variable and a phenotypical trait. Theoretical Population Biology 84, 87–103 (2013). [PDF]
  27. D. Balagué, J. A. Carrillo, T. Laurent and G. Raoul. Nonlocal interactions by repulsive-attractive potentials: radial in/stability. Physica D 260, 5–25 (2013). [PDF]
  28. A. Calsina, S. Cuadrado, L. Desvillettes and G. Raoul. Asymptotics of steady states of a selection mutation equation for small mutation rate. Proceedings of the Royal Society of Edinburgh A 143(6), 1123–1146 (2013). [PDF]
  29. E. Bouin, V. Calvez, N. Meunier, S. Mirrahimi, B. Perthame, G. Raoul and R. Voituriez. Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration. Comptes Rendus Mathématique 350(15–16), 761–766 (2012). [PDF]
  30. G. Raoul. Non-local interaction equations: stationary states and stability analysis. Differential and Integral Equations 25(5–6), 417–440 (2012). [PDF]
  31. G. Raoul. Long time evolution of populations under selection and vanishing mutations. Acta Applicandae Mathematicae 114(1–2), 1–14 (2011). [PDF]
  32. G. Raoul. Local stability of evolutionary attractors for continuous structured populations. Monatshefte für Mathematik 165(1), 117–144 (2012). [PDF]
  33. P.-E. Jabin and G. Raoul. On selection dynamics for competitive interactions. Journal of Mathematical Biology 63(3), 493–517 (2011). [PDF]
  34. K. Fellner and G. Raoul. Stability of stationary states of non-local equations with singular interaction potentials. Mathematical and Computer Modelling 53(7–8), 1436–1450 (2011). [PDF]
  35. N. Champagnat, P.-E. Jabin and G. Raoul. Convergence to equilibrium in competitive Lotka–Volterra and chemostat systems. Comptes Rendus Mathématique 348(23–24), 1267–1272 (2010). [PDF]
  36. K. Fellner and G. Raoul. Stable stationary states of non-local interaction equations. Mathematical Models and Methods in Applied Sciences 20(12), 2267–2291 (2010). [PDF]
  37. L. Desvillettes, P.-E. Jabin, S. Mischler and G. Raoul. On selection dynamics for continuous structured populations. Communications in Mathematical Sciences 6(3), 729–747 (2008). [PDF]

See also my HAL profile for repository records and updates.