In my own
experience of growing potatoes in the tropics, I find that they do not like fresh manure. My best results have been when I dug in aged
compost. I lightly mulched the top of the soil until the sprouts grew about 6 inches tall, then I added more mulch. This helped keep the soil moist and cool. When I didn't use mulch, the potatoes were smaller and fewer. Potatoes seem to be heavy feeders, because mine always do better when I've dug in plenty of compost. Less compost = less potatoes.
I've had success growing potatoes in a container on my farm where the temperatures are cooler than at my seed farm. The seed farm location is much warmer and drier, and the potatoes there do not do well. I'm not sure if it is the heat it the drier conditions that causes them to grow poorly.
Some varieties do better in the tropics than others. So try several different ones to find the better ones for your location.