  We describe all possible topological structures of Morse flows and typical
gradient saddle-nod bifurcation of flows on the 2-dimensional torus with a hole
in the case that the number of singular point of flows is at most six. To
describe structures, we use separatrix diagrams of flows. The saddle-node
bifurcation is specified by selecting a separatrix in the separatrix diagram of
the flow befor the bifurcation.
