Algebraic structures generating reaction-diffusion models: the activator-substrate system
arXiv:1502.03688 · doi:10.1016/j.ecocom.2016.01.003
Abstract
We shall construct a class of nonlinear reaction-diffusion equations starting from an infinitesimal algebraic skeleton. Our aim is to explore the possibility of an algebraic foundation of integrability properties and of stability of equilibrium states associated with nonlinear models describing patterns formation.
11 pages; misprints corrected; Int. Conf. MPDE'14: Models in Population Dynamics and Ecology (Torino 2014)