具有常数脉冲免疫SI传染病模型的稳定性

The Stability of SI Infective Model with Constant Impulsive Immunity

讨论了定期给易感染者注射一定剂量的疫苗 ,以提高健康人的免疫力的一类特殊的SI传染病模型 .对SI传染病模型进行常数量的脉冲免疫 ,得到了该模型存在惟一一个或两个周期解的充分条件 ,并分别讨论了这些周期解的稳定性 .

The SI infective model with constant impulsive immunity is discussed in this paper. We obtain the sufficient conditions of existing unique or two periodic solutions. We also study the stability of these periodic solutions.