The council shall elect one of the council members as president of the council. The term of the president shall be one year, commencing the first regular meeting in December, and terminating upon election of a new president at the first regular meeting in December of the following year. The president will assume the duties of the mayor during the mayor's absence or illness. Absence will be indicated by notification by the mayor, or through the mayor's inability to participate in a council meeting or city function. Illness shall be any sickness or injury preventing the mayor from participating in his or her daily administration or ceremonial duties.