[1] Josai Univ, Fac Sci, Dept Math, Hirakawa cho,Chiyoda ku, Tokyo 1020093, Japan
[2] Teikyo Univ, Asia Int Inst Infect Dis Control, Kaga 2-11-1,Itabashi ku, Tokyo 1738605, Japan
[3] Natl Inst Infect Dis, Management Dept Biosafety Lab Anim & Pathogen Ban, Shinjuku ku, Tokyo 1628640, Japan
[4] Japan Infect Control Assoc, Ogura cho 40 3 Kitashirakawa,Sakyo ku, Kyoto 6068264, Japan
[5] Chiba Univ, Res Inst Disaster Med, Inohana 1-8-1,Chuo ku, Chiba 2608670, Japan