摘要
讨论了具有脉冲两阶段结构的自治SIS传染病模型,得到了该模型无病周期解存在性和稳定性的充分条件,并利用分支理论研究了正周期解的存在性.
Periodic solution of the SIS epidemic model with pulse vaccination and two stage-structure is discussed. Sufficient conditions for global asymptotic stability of the infection-free periodic solution is obtained, it is studied that existence of the positive periodic solution by virtue of bifurcation theory.
出处
《大学数学》
2011年第5期62-68,共7页
College Mathematics
基金
武警部队自然科学基金资助课题(WKH2008-09)
关键词
传染病模型
脉冲免疫接种
阶段结构
全局渐近稳定
epidemic model
pulse vaccination
stage-structure
global asymptotic stability
