摘要
研究了一类具有饱和传染率和垂直传染的SIRS传染病模型,并在此模型中假设对易感者和恢复者的新生儿,以及母体染病但尚未感染的新生儿进行预防接种,得到了模型的无病平衡点和地方性平衡点全局渐近稳定性的充分条件,通过数值模拟验证了结论的正确性.
An SIRS（susceptible infectives removed susceptible） epidemic model with saturating infect rate and vertical infection was studied.In the model it is assumed that the susceptibles,the recovered and the non-infected newborn,whose mother has been infected,are vaccinated.The sufficient conditions of local and global asymptotic stabilities of the equilibrium were obtained.The conclusion was verified by numerical imitation.
出处
《上海理工大学学报》
CAS
北大核心
2010年第4期311-314,共4页
Journal of University of Shanghai For Science and Technology
关键词
SIRS模型
垂直传染
预防接种
饱和传染率
稳定性
SIRS model
vertical infection
continuous vaccination
saturating infect rate
stability
