Any individual exposed to contagious or infectious animal diseases that, in the reasonable opinion of the State Veterinarian, may be transmitted by such individual to animals, may be quarantined when, in the reasonable opinion of the State Veterinarian, such quarantine will prevent the spread of such contagious or infectious diseases among livestock or poultry. The provisions of § 32.1-48.010 shall apply, mutatis mutandis, to appeal any order of quarantine issued pursuant to this section. For purposes of this section only, significant health threat shall include threat of contagious or infectious diseases to livestock or poultry.