广东海洋大学学报2017,Vol.37Issue(1):101-107,7.DOI:10.3969/j.issn.1673-9159.2017.01.016
一类离散传染病模型的动力学分析
Dynamic Analysis of Adiscrete Epidemic Model
摘要
Abstract
The dynamical behavior of a SIR epidemic model is studied. The hyperbolicity of equilibrium point is investigated by discussing its coefficient parameters. The center manifold theorem is used to explore the transcritical bifurcation of the model. In the end biological mean of the model is also given.关键词
SIR传染病模型/跨临界分岔/中心流形定理/正规形Key words
SIR epidemic model/transcritical bifurcation/center manifoldtheorem/normal form分类
数理科学引用本文复制引用
李明山,刘秀敏,周效良..一类离散传染病模型的动力学分析[J].广东海洋大学学报,2017,37(1):101-107,7.基金项目
国家自然科学基金项目(11561019) (11561019)
广东省创新强校科技重大项目(2014KZDXM065) (2014KZDXM065)
广东省攀登计划项目(pdjh2016a0301). (pdjh2016a0301)