考虑多种传染病并存,建立了一类具脉冲出生和连续接种的时滞传染病系统。利用频闪映射方法,得到了系统的无病周期解。运用脉冲时滞微分方程理论,证明了当临界值 R*<1时,无病周期解是全局吸引的。
A class of time-delay infectional disease system with birth pulse and continuous vaccination was estab-lished by considering the coexistence of multi-infectious diseases. The disease-free periodic solution of the system was obtained by using the stroboscopic map method. By means of the theory on delay functional equation and impulsive dif-ferential equation, it was proved that the disease-free periodic solution is globally attractive if the critical value R*〈1.