Quentin RICHARD

Webpage

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Published or accepted papers:

  • [1] Time asymptotics of structured populations with diffusion and dynamic boundary conditions. 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. 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. ArXiv, 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. ArXiv, Article
    Q. Richard, Mathematical Modelling of Natural Phenomena, 15, (2020) p.54
  • [5] Asymptotic behavior of age-structured and delayed Lotka-Volterra models. ArXiv, 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. Hal, Article
    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. ArXiv, Article
    A. Perasso, Q. Richard, I. Azzali and E. Venturino, Studies in Applied Mathematics, (2020) pp. 1-22

Submitted articles (preprints):

  • [8] Evolution of pathogen traits in response to quantitative host resistance in heterogeneous environments. BioRxiv
    R. Djidjou-Demasse, S. Lion, A. Ducrot, J.B. Burie, Q. Richard and F. Fabre, submitted.
  • [9] Age-structured non-pharmaceutical interventions for optimal control of COVID-19 epidemic. medRxiv
    Q. Richard, S. Alizon, M. Choisy, M. T. Sofonea and R. Djidjou-Demasse, submitted.
  • [10] Human-vector malaria transmission model structured by age, time since infection and waning immunity. Hal
    Q. Richard, R. Djidjou-Demasse, M. Choisy and T. Lefèvre, submitted.

Reports and unpublished works:

    Reports of the ETE team from the laboratory MIVEGEC (CNRS, IRD, University of Montpellier) on the epidemiological modelling of Covid-19.

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:

Asymptotic behavior of structured populations models. Pdf
Supervised by Mustapha Mokhtar-Kharroubi and Antoine Perasso. Defended on October 8, 2018.