Pausing a Mathf.PingPong at the ends

Hey folk, sorry if the title isn't too clear, but I have a Mathf.PingPong that looks like

 time = Mathf.PingPong(Time.time * 0.02f, 1)

it changes the intensity of a light, making it seem like a day/night cycle, however, as soon as it reaches the end, it immediately starts lowering, which is normal, but I want it to pause for a while at each end, like an actual day and night.

I was thinking using an

 if(time == 0 && count < 10){count--; return;} 

and

 if(time == 1 && count > 10){count++; return;}    

type deal before the time = mathf, but I don't feel like it'd work, since Time.time would keep growing.

Ideas?

Would mathf.cos get kinda the effect I want?