General synonyms:
* Spread
* Diffuse
* Infuse
* Saturate
* Imbue
* Penetrate
* Fill
* Infiltrate
* Suffuse
More specific synonyms:
* Prevail (emphasizes dominance or widespread presence)
* Dominate (emphasizes power or influence)
* Permeate (emphasizes passing through or into something)
* Embue (emphasizes imparting a quality or characteristic)
* Saturate (emphasizes complete immersion or absorption)
The best synonym for "pervade" will depend on the specific context in which you are using the word.