Overcome

Consider the following paragraph:

"He shared in the lavish feasts offered by the elders, who decided that the time had come to 'pass on', and once they had fallen asleep, overcome by chincha beer and netema, in an ecstasy of hallucinatory dreams that opened the doors to their future existence, he helped carry them to a distant hut and covered their bodies with sweet palm honey,...."

In this context, does 'overcome' mean 'caused' or perhaps 'aggravated'?