Verb (1)

chase, pursue, follow, trail mean to go after or on the track of something or someone. chase implies going swiftly after and trying to overtake something fleeing or running.
// a dog chasing a cat pursue suggests a continuing effort to overtake, reach, or attain.
//pursued the criminal through narrow streets follow puts less emphasis upon speed or intent to overtake.
// friends followed me home in their car trail may stress a following of tracks or traces rather than a visible object.
//trail deer
//trailed a suspect across the country

Verb

chase, pursue, and follow mean to go after someone or something. chase is used of someone or something moving swiftly in order to catch up with something.
// The children chased the ball. pursue is used of a long, continual chase.
// They pursued the enemy for miles. follow does not suggest speed or a desire to actually catch up with something.
// This dog followed me home.