From Longman Dictionary of Contemporary Englishstarve somebody ↔ out phrasal verbto force someone to leave a place by preventing them from getting food If we can’t blast them out, we’ll starve them out! → starve→ See Verb table
Examples from the Corpus
starve out• A I am afraid you must be strong as regards starving your Oscars out.• Can the plaintiff hold out, or can we starve her out? 