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).