具有脉冲出生及垂直传染的SIS传染病模型的分岔分析  

Bifurcation of SIS epidemic model with vertical transmission and birth pulses

作　　者：鹿鹏[1] 蒋贵荣[1] 郝丽杰[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《桂林电子科技大学学报》2013年第1期56-60,共5页Journal of Guilin University of Electronic Technology

基　　金：国家自然科学基金(11162004;60964006);广西自然科学基金(0832244)

摘　　要：研究了一类具有脉冲出生及垂直传染的SIS传染病模型的动力学行为,利用离散映射、中心流形定理和分岔定理,得到了超临界分岔和flip分岔发生的条件。数值模拟结果表明,地方病周期解通过超临界分岔从无病周期解中分岔出来,2-周期解通过flip分岔从周期解中分岔出来,验证了理论分析。A class of SIS epidemic model with vertical transmission and birth pulses is investigated. The conditions for supercritical bifurcation are obtained by using the discrete mapping, the center manifold theorem and bifurcation theorem. Numerical results for phase portraits, periodic solutions and bifurcation diagrams are illustrated with an example, which are in agreement with the theoretical analysis.

关 键 词：SIS传染病模型 出生脉冲 周期解 垂直传染 flip分岔 

分 类 号：O175.1[理学—数学]