摘要
考虑到某些种群的出生受季节变化的影响,建立了具有脉冲出生和垂直传染的双时滞SEIRS模型.利用频闪映射获得了无病周期解的表达式,并通过比较定理证明了当R0>1时,无病周期解全局吸引;当R*0时传染病持续.
Considering the impact of some populations affected by seasonal changers,a delay SEIRS model with pulse birth and vertical transmission is proposed.Using the discrete dynamical system determined by the stroboscopic map,the exact expression of infection-free periodic solution is obtained.Furthermore,by the comparison theorem,it is proved that the infection-free periodic solution is globally attractive when R0<1 and the disease is persistent when R*0>1.
引文
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