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一类具有分布时滞饱和特性发生率的SIR传染病模型 被引量：2

An SIR epidemic model with distributed delay and saturation incidence
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摘要 提出了一类具有分布时滞的饱和特性发生率的SIR传染病模型.首先利用微分不等式理论研究了该系统的一致持久性,随后通过构造适当的Lyapunov泛函,得到了保证地方病平衡点全局渐近稳定的一组充分性条件. An SIR epidemic model with distributed delay and saturation incidence are studied.A set of sufficient conditions which guarantee the permanence of the system is obtained by applying the differential inequality theory;After that,by constructing a suitable Lyapunov function,some sufficient conditions for the global asymptotically stability of endemic equilibrium are obtained.
作者 陈晓英 吴亭
机构地区 福州大学数学与计算机科学学院 福州大学至诚学院 闽江学院数学系
出处 《福州大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第6期808-812,共5页 Journal of Fuzhou University(Natural Science Edition)
基金 福建省科技创新平台计划资助项目(2009J1007) 闽江学院2008年科技启动基金资助项目(YKQ08001)
关键词 SIR传染病模型 分布时滞 平衡点 全局渐近稳定 SIR epidemic model distrubuted delay equilibrium global asymptotically stability
分类号 O175 [理学—基础数学]
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共引文献13

同被引文献8

  • 1Xu R,Ma Z E. Global stability of a SIR epidemic model with nonlinear incidence rate and time delay[J]. Nonlinear Anal: Real World Appl,2009,10:3 175 -3 189.
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  • 8Kar T K, Ashim Batabyal. Stability analysis and optimal control of an SIR epidemic model with vaccination [ J ]. BioSys- tems,2011,104:127 - 135.

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福州大学学报（自然科学版）
2010年 第6期

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