Speaker
Maya Mincheva
(Northern Illinois University)
Description
Conditions for Turing instability in reaction networks involving two interacting species are well understood and typically require self-activation or autocatalysis. However, general criteria for the emergence of Turing instabilities in large-scale reaction networks are less studied. We consider a reaction network with an arbitrary number of species, in which only a single species diffuses. We establish a novel condition for Turing instability, which arises when a spatially homogeneous equilibrium loses stability via a pair of complex conjugate eigenvalues.
Author
Maya Mincheva
(Northern Illinois University)
Co-authors
Carsten Conradi
Hannes Uecker