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具有阶段结构的多时滞SIR扩散模型的稳定性 被引量：4

Stability of a Stage-Structured Diffusive SIR Model with Delays
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摘要 考虑了一类带有一般发生率和阶段结构的SIR模型.确定了基本再生数,并通过分析对应的特征方程的根的分布,得到了无疾病平衡点和地方病平衡点的线性稳定性. A stage -structured SIR model with general incidence rate is investigated. The basic reproductive number of the model is determined, and the linear stabilities of the disease - free equilibrium and the endemic equilibri- um are obtained by analyzing the distribution of eigenvalues.
作者 吴敏 翁佩萱
机构地区 华南师范大学数学科学学院
出处 《华南师范大学学报（自然科学版）》 CAS 北大核心 2013年第2期20-23,共4页 Journal of South China Normal University(Natural Science Edition)
基金 国家自然科学基金项目(11171120) 教育部高等学校博士学科点专项科研基金项目(20094407110001) 广东省自然科学基金项目(10151063101000003)
关键词 SIR模型 阶段结构 基本再生数 线性稳定性 ROUCHE定理 SIR model stage -structure basic reproductive number linear stability Rouche＇s theorem
分类号 O175.21 [理学—基础数学] O175.29 [理学—基础数学]
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参考文献11

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共引文献26

同被引文献20

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引证文献4

二级引证文献29

华南师范大学学报（自然科学版）
2013年 第2期

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