A mathematical model is developed to analyze the transmission of inhalational anthrax through the postal system by cross-contamination of mail. The model consists of state vectors describing the numbers of cross-contaminated letters generated, the numbers of anthrax spores on these letters, the numbers of resulting infections in recipients, and matrices of transition probabilities acting on these vectors. The model simulates the recent outbreak in the United States, and provides a general framework to investigate the potential impact of possible future outbreaks.A nthrax has been a scourge of humans and domesticated animals since ancient times, and its causative agent, Bacillus anthracis, has long been considered a weapon of biological warfare or terrorism (1, 2). Spores of B. anthracis can survive indefinitely in a wide range of environments (3), and a relatively modest dose delivered to mammalian skin or lungs can result in cutaneous or inhalational anthrax, respectively (4-7). Gastrointestinal anthrax also occurs in certain regions of the world (8), although inhalational anthrax is the most lethal form (9).Since October 2001, both inhalational and cutaneous cases of anthrax have been recognized in the United States (10, 11), after a hiatus of more than 20 years (12). Of the 22 cases reported to date (December 15, 2001), 11 have been cutaneous and 11 have been inhalational; 5 persons with inhalational anthrax have died, with a case fatality rate of 45%. All cases of inhalational anthrax have occurred in persons above 43 years of age (median 56 years, range 43 to 94; refs. 11 and 13). After a 1979 accident at a Soviet factory producing anthrax spores in Sverdlovsk, a city of 1.2 million people, 79 persons were reported to have developed inhalational anthrax, and 68 of these died (1). All of the cases were clustered in a single quadrant of the city and its outskirts, corresponding to the area downwind of the plume released from the factory. Despite the large number of persons of all ages potentially exposed to this plume, no cases were reported in persons Ͻ24 years old (1). Both the Russian accident (1) and the current U.S. cases (11, 13) suggest that older persons have increased risk for contracting inhalational anthrax after environmental exposure.Most of the current U.S. cases have been traced to letters heavily contaminated with anthrax spores that were sent through the U.S. mail (14). All strains recovered from mail and from clinical specimens reportedly have the same molecular fingerprint (14), indicating their dissemination from a single source. These mail-related cases have occurred among the intended recipients of the letters or others in their work environment (n ϭ 7), or among postal workers (n ϭ 11). In addition, there have been four other cases, two cutaneous, and two inhalational (both fatal) in elderly women, in which the victims appear unrelated to either the intended recipients or the postal milieu (11).We propose that these ''unrelated'' cases occurred as a result of their receiving mail that h...