Quentin RICHARD

Webpage

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Research fields:

  • Mathematical modeling in biology:

    • population dynamics;
    • cellular dynamics;
    • prey-predator sytems.
    • evolutionary epidemiology.

  • Partial Differential Equations or delayed Equations:

    • transport equations;
    • transport-diffusion equations;
    • reaction-diffusion equations.
    • integro-differential equations.

  • Structured models: in age, size, space or phenotypic trait.

  • Dynamical systems:

    • asymptotic behavior of solutions;
    • local and global stability of equilibria;
    • bifurcation study;
    • spectral analysis of operators;
    • well-posedness in L1.

  • Numerical schemes (finite volumes).