"disperse to" is correct and usable in written English.
It means to break up or scatter in different directions. Example: After the protest, the crowd began to disperse to their homes.
Early successional species often disperse to novel environments, and if they are selfing, this dispersal will frequently be carried out by inbred individuals.
It might quickly disperse to the Pacific Ocean.
There are also powerful ecological constraints on whether young disperse to new territories.
They are economic migrants, who disperse to Kent's strawberry fields and poultry farms.
Some of the day's passengers disperse to "clothed areas" all along Sandy Hook.
Others appear to have exceptional abilities to disperse to remote, isolated regions and survive.
On Dec. 30 they will take their oath and on Jan . 9disperse to units around the country.
So as its members disperse to pursue their independent ambitions, Anonymous 4 leaves behind the niche it largely created.
Tense silence descends again, and the musicians disperse to the far end of the auditorium, barely visible in the murk.
A voice over a loudspeaker repeatedly urged the crowd to disperse, to march off with the departing coffins.
Fertilized eggs develop, for example, into ciliated larvae that disperse to new areas before metamorphosing into adults.
