(a) Should any person appointed to fill the office or perform the duties of an employee to whom a leave of absence has been granted die, resign, or in any manner or for any cause vacate the office or position to which he or she was appointed, the Governor, or person whose duty it would be to fill the office or position if a vacancy should occur, shall select and appoint a capable and competent person to perform the duties of the office or position until the term of office or employment expires or until the official or employee appears for the purpose of resuming the office or position.
(b) The appointment shall expire and terminate upon either the expiration of the term of office or employment or appearance of the official or employee for the purpose of the resumption of his or her duties.