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一类具有潜伏期的水源性疾病模型的稳定性 被引量：9

Stability of a class of waterborne pathogen model with latent period
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摘要 研究一类具有潜伏期的水源性疾病模型的稳定性,利用再生矩阵方法计算出基本再生数R0,并进一步通过构造Lyapunov函数证明无病平衡点和地方病平衡点的全局稳定性. The stability of a class of waterborne pathogen model with latent period was studied.The basic reproductive number R0 was evaluated by using reproductive matrix method.Further,the global stability of the disease-free equilibrium point and the endemic equilibrium point was proved by means of constructing Lyapunov functions.
作者 霍海峰 林媚 李君
机构地区 兰州理工大学理学院
出处 《兰州理工大学学报》 CAS 北大核心 2011年第4期151-154,共4页 Journal of Lanzhou University of Technology
基金 国家自然科学基金(10961018) 教育部科学技术研究重点项目(209131) 教育部留学回国人员科研启动基金 甘肃省高校研究生导师基金(0803-01) 人力资源和社会保障部留学人员科技活动项目
关键词 水源性疾病 基本再生数 平衡点 稳定性 waterborne disease basic reproductive number equilibrium point stability
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献8

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二级参考文献15

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共引文献10

同被引文献61

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引证文献9

二级引证文献24

兰州理工大学学报
2011年 第4期

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