Can cashflow decrease if property depreciates?

[Account Closed]

For example, I got a property valued at $100,000, produces $500 of positive cashflow.  Over a few years, it depreciates by 20% and the property's valued at $80,000.  Would the amount of rent decrease as well?

Also say if it appreciates by 20% and it's now valued at $120,000.  Would the rent amount increase in this case?

I'm not sure if this is correct, but is the only thing that doesn't get affected is the monthly mortgage?  Would other expenses like insurance, utilities, etc, decrease or increase depending if the property's value depreciates or appreciates?