Based on conductivity there are three types of electricity conduction current, convection current and radiation current. Those three types of current flow occurs in different way.
Conduction Current: Conduction current occurs in metallic conductor which conductor are solid, form a strong bond having free electron on the conductor. The flow of electron causes the flow of current. The conduction current flows until the contact remains such as connection between bulb & battery via wire. The current flows from battery to bulb via wire until the conduction or wire connection remain otherwise stop flow of current.
Convection Current: Convection current flows as heat flow. Heat flow via air there is no solid conductor needed for heat flow. Such way the convection current flows there is no need strong bond form for flowing of convection current.
Radiation Current: The most interest current flow radiation current. For radiation current flow no medium requires, it can flow via space such as solar radiation comes from space far distance but the radiation comes on earth.