I grew up in deserts and jungles, and then joined the USMC (more deserts and jungles, but in long sleeves, whew!). Went through a LOT of deodorant to find one that actually worked. The 2ND worst were the "time release" ones. Because it was just the perfume scent that released. Yay. BO & Perfume. Yuck. ((1st worst were natural deodorants, except the crystal, which is pure aluminum salts... but all the other's Toms, Jason, they smell SO good... but have to be reapplied at least once or twice an hour)).
For me, the only one that actually works is Mitchem gel. I prefer unscented, but they all work great.
It's funny. Up here in Seattle it 'works' for 2 or 3 days straight. But in real heat and high levels of activity in the heat, it works for about 12-18 hours.