Possible Clues:

• Particular to a region
• Always present at last with the bits of the mice at last
• Disease that's terminal to mice, perhaps
• Men dice
• (Of disease) widespread
• (Of disease) regularly found in population
• Men dice in way commonly found in country or place
• Disease and death coming with Eastern rodents mostly
• Kill mice off when locally confined
• Prevalent among a group of people, disease perhaps