TY - JFULL AU - P. Pongsumpun PY - 2012/1/ TI - Mathematical Model for the Transmission of Leptospirosis in Juvennile and Adults Humans T2 - International Journal of Mathematical and Computational Sciences SP - 1638 EP - 1644 VL - 6 SN - 1307-6892 UR - https://publications.waset.org/pdf/8692 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 72, 2012 N2 - Leptospirosis occurs worldwide (except the poles of the earth), urban and rural areas, developed and developing countries, especially in Thailand. It can be transmitted to the human by rats through direct and indirect ways. Human can be infected by either touching the infected rats or contacting with water, soil containing urine from the infected rats through skin, eyes and nose. The data of the people who are infected with this disease indicates that most of the patients are adults. The transmission of this disease is studied through mathematical model. The population is separated into human and rat. The human is divided into two classes, namely juvenile and adult. The model equation is constructed for each class. The standard dynamical modeling method is then used for analyzing the behaviours of solutions. In addition, the conditions of the parameters for the disease free and endemic states are obtained. Numerical solutions are shown to support the theoretical predictions. The results of this study guide the way to decrease the disease outbreak. ER -