Before revision:  The motivating examples are certain families of reaction networks --- including reversible, weakly reversible, endotactic, and "strongly endotactic " reaction networks --- that give rise to vertexical families of mass-action differential inclusions.
After revision:  The motivating examples are certain families of reaction networks -- including reversible, weakly reversible, endotactic, and "strongly endotactic " reaction networks --- that give rise to vertexical families of mass-action differential inclusions.