具有垂直传染的离散SIS传染病模型的动力学性质  

Dynamic Properties of A Discrete SIS Epidemic Model withVertical Infection

作　　者：陈雨青 冯舒婷 岑泳欣 周效良 CHEN Yuqing;FENG Shuting;CEN Yongxin;ZHOU Xiaoliang(Faculty of Science,Hohai University,Nanjing 211100,China;School of Mathematics and Statistics,Lingnan Normal University,Zhanjiang 524048,China)

机构地区：[1]河海大学理学院,江苏南京211100 [2]岭南师范学院数学与统计学院,广东湛江524048

出　　处：《杭州师范大学学报（自然科学版）》2022年第1期82-87,共6页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11961021);广东省攀登计划专项资金项目(pdjh2020b0361);全国大学生创新创业训练计划项目(201910579725);广东省大学生科技创新培育专项资金(pdjh2021b0309).

摘　　要：运用差分方程的稳定性理论和分岔理论研究了一类离散SIS传染病模型.得到了双曲平衡点的类型和稳定性,以及非双曲平衡点产生跨临界分岔和flip分岔的条件,进一步给出了分岔的生物学解释.A discrete SIS epidemic model is studied by using the stability theory and bifurcation theory of difference equation in this paper.The types and stability of hyperbolic equilibrium points are obtained,and the conditions under which non-hyperbolic equilibrium points produce transcri-tical bifurcations and flip bifurcations are obtained.The biological explanation for the bifurcations is further given.

关 键 词：垂直传染 离散SIS模型 跨临界分岔 flip分岔 

分 类 号：O01.029[理学]