具有生育脉冲及垂直传染的SIS传染病模型的周期解  

Periodic Solutions of an 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：《聊城大学学报（自然科学版）》2012年第3期31-35,84,共6页Journal of Liaocheng University:Natural Science Edition

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

摘　　要：研究了一类具有生育脉冲及垂直传染的SIS传染病模型,利用离散映射得到了无病周期解和地方病周期解的存在性和稳定性的条件,进一步给出了能够很好的验证理论分析的数值结论.This paper investigates a class of SIS epidemic model with vertical transmission and birth pulses.The existence and stability of the infection-free periodic solution and the endemic periodic solution are discussed by using discrete maps.Moreover,numerical results for phase portraits,periodic solutions,and bifurcation diagrams,which are illustrated with an example,are in good agreement with the theoretical analysis.

关 键 词：SIS传染病模型 生育脉冲 垂直传染 周期解 

分 类 号：O175.1[理学—数学]