Reaction-diffusion equations serve as a basic framework for numerous dynamic phenomena like pattern formation and travelling waves. Spatially discrete analogues of Nagumo reaction-diffusion equation on lattices and graphs provide insights how these phenomena are strongly influenced by the discrete and...

Dynamics of populations with logistic growth leads to global persistence on arbitrary networks, whereas bistable dynamics is always associated with local extinction. In this paper we study a reaction-diffusion model on networks with a combination of both logistic and bistable reactions. We&#...