Section: New Results

Biochemical system modelized through a PDE

Participants : Frédéric Mazenc, Abdou Dramé [City Univ. of New York] , Peter Wolenski [LSU] .

We studied a model of chemostat relying on a Partial Differential Equation. More precisely, we studied in [13] the stability of periodic solutions of distributed parameters biochemical system with periodic input $S_{in}\left(t\right)$ (which respresent the substrate input concentration). We established that if the function $S_{in}\left(t\right)$ is periodic then the system has a periodic solution that possess the robust stability property called input to state stability and this when sufficiently small perturbations are acting on $S_{in}\left(t\right)$.