摘要
本文研究了具有疫苗免疫策略的传染病SIV模型。研究表明,在一定条件下,如疫苗免疫有效率较高而疫苗总量有限,模型会有"后向分支"发生;同时我们还分析得到了无病平衡点和正平衡点的全局(局部)稳定性;最后对理论分析的结果进行了数值模拟和讨论。
In this paper,we study an epidemic model with vaccination strategy.Our study reveals that,under certain conditions（such as the effective rate of vaccination is high enough and the resource of vaccine is limited）,the model will generate backward bifurcation.We also analyze the global（local） stability of the disease-free and the endemic equilibria.Finally,we give some simulations and discussions about the theoretical findings.
出处
《长春理工大学学报（自然科学版）》
2012年第3期109-113,共5页
Journal of Changchun University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金(NCET-08-0755)
关键词
传染病模型
后向分支
全局渐进稳定
疫苗免疫
epidemic model
backward bifurcation
global asymptotical stability
vaccination
