I don't he and his sons ruled the red sea but he had considerable influnce in Southeren Arabia politics allying and giving support to various yemeni factions that led to Aksum direct invasion of Yemen years later
		
		
	 
There's Yemeni inscriptions mentioning his army's presence there in the late 2nd century early 3rd century. He was playing the feuding Yemeni kingdoms off eachother & eventually took over the region until 270 when Himyar started taking back the peninsula.
It was once he secured Yemen that he went northwards up to the Sinai peninsula subjugating the minor kingdoms along the way, forcing them to pay tribute.
Here's a text that talks about his sons trying to curb the growing Himyarite expansion by sending reinforcements but failing. 
This book is 30 years old so it is missing a ton of information found in the last couple decades.