The county hospital board shall hold its meetings and shall conduct all of its business at a place to be designated by the board of county commissioners or as may be subsequently designated by resolution of the county hospital board, and shall meet at its place of business in regular session on the first Monday of each month, or at such other time as may be adopted by resolution of the county hospital board, and at such other times as may be necessary or convenient for the transaction of its business. Any member of the board absent for three (3) successive regular meetings may be deemed to have resigned from the board and the board of county commissioners shall immediately appoint another person in the manner provided in section 31-3603, Idaho Code, to fill the vacancy so occurring. Special meetings shall be called by the chairman of the county hospital board by written notice of at least three (3) days served upon or delivered to each member of the board. The board may recess or continue to a time certain any meeting, regular or special, by motion adopted and included in its minutes.