If the State Veterinarian invokes Section 9562, and the importation of animals, animal products, or other property from any state, territory, or foreign country may transmit, carry or disseminate the illness, infection, pathogen, contagion, toxin, or condition designated pursuant to Section 9562, the State Veterinarian shall prescribe the conditions, if any, under which these animals, animal products, or property may be imported into this state.