Need a better picture but the Corydoras in the picture is rather unwell. It has damage to the tail and fins, excess mucous, a damaged nose and no barbels, the skin colour looks wrong and the eyes appear to be sticking out more than they should be. This would suggest a disease and probably a bacterial infection.Corydoras have been dying off one by one. Symptoms are lethargy, losing weight, curved spine, and dying a day or two after showing symptoms. I've noticed that there's blood, but only on the dead fish, the living fish never bleed.
How quickly do they lose weight?
What does their poop look like?
Are they eating well?
Where is the blood located on the dead ones?
Have you got any pictures of the dead fish?
Did you add anything to the tank in the 2 weeks before this started?
I'm assuming the tank gets regular water changes and gravel cleaning, and the filter is working correctly?