一类离散传染病模型的动力学分析Dynamic Analysis of Adiscrete Epidemic Model
李明山,刘秀敏,周效良
摘要(Abstract)：
研究了一个具有双线性的SIR传染病模型的动力学行为,通过讨论系数参数确定此类模型平衡点的双曲性和非双曲性,利用中心流形定理研究了平衡点跨临界分岔性质,最后给出跨临界分岔结果的生物学解释。
关键词(KeyWords)： SIR传染病模型;跨临界分岔;中心流形定理;正规形
基金项目(Foundation): 国家自然科学基金项目(11561019);; 广东省创新强校科技重大项目(2014KZDXM065);; 广东省攀登计划项目(pdjh2016a0301)
作者(Author): 李明山,刘秀敏,周效良
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