Ohm’s Law states that for an ohmic conductor, current is directly proportional to the potential difference, given that physical conditions remain constant.
In forward bias, a diode allows current to flow easily past the threshold voltage. In reverse bias, it has extremely high resistance and allows only a very small current to flow.
As current increases, the filament lamp’s resistance increases because the metal wire heats up. This causes the current-voltage graph to curve at higher currents.