what is the voltage direction and current direction of LVDS signal at particular time?
First, read about how LVDS works. https://www.fairchildsemi.com/application-notes/AN/AN-5017.pdf

The two outputs D+ and D- have nominal voltage levels of 1.4 volts and 1.07 volts for a logic 1, and 1.07 volts and 1.40 volts for a logic 0.

So the answer is no. Each output can have one of two different voltages, and current can flow in either direction.