Mich. Comp. Laws § 750.404

Sec. 404. Any person who has enlisted into the service of the United States, or of this state, and who was sworn into such service, or who offers himself or herself as a substitute for a citizen of this state duly drafted into the service of the United States or of this state and after being duly sworn into such service, deserts the same, is guilty of a misdemeanor punishable by imprisonment for not more than 1 year or a fine of not more than $1,000.00.