Speaker
Andrei-Dan Halanay
(Bucharest University)
Description
We present the main results from our recent work, extending methods from Mathematical Epidemiology (ME) to other systems that can be framed as Chemical Reaction Networks (CRNT).
Our main result concerns the stability of equilibria for positive system of differential equations. Positive systems appearing in CRNT have their dynamics determined by a family of forward-invariant faces of some cones. These faces correspond to disease-free or partially disease-free manifolds in ME. We construct an analogue of the Next Generation Matrix and use it to give a stability criterion in terms of its spectral radius.
We aim also to present some applications to concrete systems.
Authors
Andrei-Dan Halanay
(Bucharest University)
Florin Avram
(Université de Pau, 64000 Pau, France)
Rim Adenane
(Université Ibn-Tofail)
