Analysis For Epidemic Model Of A New Bunyavirus With Tick Pest As Vector

A new bunyavirus as one of the Buny aviridae infects happened among vertebrate and arthropod and leads to disease likes flu or dengue in the crowd. In May 2010, the Chinese center for disease control and prevention defined symptom manifested by the new bunyavirus as "severe fever with thrombocytopenia syndrome" and launched a series of operations for curing diseases.The new bunyavirus is the most significant one of arbovirus with three different vectors:tick pest, mosquito, sandfly. Specifically, the tick pest takes a great role of spreading disease by biting human and infecting cells. Then one or two weeks after infection, the patients will suffer fever with the number of white blood cell drops as well as internal organs impaired. Patients will die in respiratory failure or some other rea-sons if they were not rescued in time. This thesis for an epidemic model of transmission for a new bunyavirus with tick pest as vector was analyzed by the following parts:1、An epidemic model of transmission for a new bunyavirus with the tick pest as vector is formulated and the explicit expression for the basic reproduction number R0 is obtained. The existence conditions of disease free and endemic equilibria are obtained.2、By the method of Lyapunov function and Lasalle invariant set principle, it is shown that the disease free equilibrium is globally asymptotically stable if R0< 1, in this case the disease dies out. The endemic equilibrium is globally asymptotically stable if R0> 1, in this case, the disease persists in the population.3、The numerical simulation supports the theoretical results.4、The sensitive analysis of the basic reproduction number with respects to the parameters is carried out.