Quentin Richard

Published or accepted papers:

• [1] Time asymptotics of structured populations with diffusion and dynamic boundary conditions. Postprint Article
  M. Mokhtar-Kharroubi and Q. Richard, Discrete and Continuous Dynamical Systems Series B, 23(10), (2018) pp. 4087-4116.
• [2] Implication of age-structure on the dynamics of Lotka Volterra equations. Postprint Article
  A. Perasso and Q. Richard, Differential and Integral Equations, 32, (2019) pp. 91-120.
• [3] Spectral theory and time asymptotics of size-structured two-phase population models. Postprint Article
  M. Mokhtar-Kharroubi and Q. Richard, Discrete and Continuous Dynamical Systems Series B, 25(8), (2020) pp. 2969-3004.
• [4] Global stability in a competitive infection-age structured model.Postprint Article in open access
  Q. Richard, Mathematical Modelling of Natural Phenomena, 15(54), (2020) pp. 1-39.
• [5] Asymptotic behavior of age-structured and delayed Lotka-Volterra models. Postprint Article
  A. Perasso and Q. Richard, SIAM, Journal on Mathematical Analysis, 52(5), (2020) pp. 4284-4313.
• [6] Concentration estimates in a multi-host epidemiological model structured by phenotypic traits. Postprint Article in open access
  J.B. Burie, A. Ducrot, Q. Griette and Q. Richard, Journal of Differential Equations, 269(12), (2020) pp. 11492-11539.
• [7] Well-posedness and positivity property for a reaction-diffusion model of plankton communities, involving a rational nonlinearity with singularity. Postprint Article in open access
  A. Perasso, Q. Richard, I. Azzali and E. Venturino, Studies in Applied Mathematics, 146(1), (2021) pp. 211-232.
• [8] Age-structured non-pharmaceutical interventions for optimal control of COVID-19 epidemic.Postprint Article in open access
  Q. Richard, S. Alizon, M. Choisy, M. T. Sofonea and R. Djidjou-Demasse, PLOS Computational Biology, 17(3), (2021) pp. 1-25.
• [9] Human-vector malaria transmission model structured by age, time since infection and waning immunity. Postprint Article in open access
  Q. Richard, M. Choisy, T. Lefèvre and R. Djidjou-Demasse, Nonlinear Analysis: Real World Applications, 63, (2022), pp. 103393.
• [10] An epi-evolutionary model for predicting the adaptation of spore-producing pathogens to quantitative resistance in heterogeneous environments.Postprint Article in open access
  F. Fabre, J.-B. Burie, A. Ducrot, S. Lion, Q. Richard and R. Djidjou-Demasse, Evolutionary Applications, 15(1), (2022), pp. 95-110.
• [11] Non-Markovian modelling highlights the importance of age structure on Covid-19 epidemiological dynamics.Postprint Article in open access
  B. Reyné, Q. Richard, C. Selinger, M.T. Sofonea, R. Djidjou-Demasse and S. Alizon. Recommandé par PCI Mathematical and Computational Biology. Mathematical Modelling of Natural Phenomena, 17(7), (2022) pp. 1-24.
• [12] Mosquito ageing modulates the development, virulence and transmission potential of pathogens.Postprint Article in open access
  B. Somé, E. Guissou, D.F. Da, Q. Richard, M. Choisy, K.B. Yameogo, D. FdS Hien, R.S. Yerbanga, G.A. Ouedraogo, K.R. Dabiré, R. Djidjou-Demasse, A. Cohuet and T. Lefèvre. Proc. R. Soc. B. (2024).
• [13] On the necessity of accounting for age structure in human malaria transmission modelling. Postprint Article in open access
  Q. Richard, M. Choisy, T. Lefèvre and R. Djidjou-Demasse. Mathematical Biosciences, 378 (2024).
• [14] Mathematical modeling of intra-and inter-species interactions in mixed malaria within-host infections. Postprint. Article in open access
  M. Pane, Q. Richard, O. Seydi and R. Djidjou-Demasse. Journal of Mathematical Analysis and Applications, 547 (2025).

Submitted papers:

• [15] Global stability in an age-structured SIRS malaria transmission model. Preprint.
  S. Djaoue, I. Damakoa, A. Perasso and Q. Richard. Submitted.
• [16] On the global asymptotic stability of an infection-age structured competitive model. Preprint.
  S. Girel and Q. Richard. Submitted.

Reports and unpublished works:

Master theses:

• Master 1 (2014), research project with Simon Girel. Supervised by Laurent Pujo-Menjouet.
  Invasion of the Eastern gray squirrel in Europe (in french). Pdf
• Master 2(2015). Supervised by Antoine Perasso and Virgile Baudrot.
  Mathematical analysis and simulations of predators-prey models with different functional responses (in french). Pdf

PhD Thesis: