The local board may specify any communicable disease or diseases in case of death from which no public funeral shall be had, and prohibit such public funeral under a penalty to be imposed, not to exceed fifty dollars, and in case of the threatening or prevalence of an epidemic, may prohibit such public funeral of persons dying with the particular disease or diseases then prevalent. The board may also prohibit such public funeral in any case in which the attending physician shall by writing so advise, or in any case in which two reputable physicians in the same district or municipality certify that they believe that the interests of the public health require such restriction.