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具有潜伏期感染的离散SEIR模型的动力学性态

Dynamic Behavior of a Discrete SEIR Epidemic Model with Latent Infection
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摘要 主要研究了一类考虑潜伏期和染病期都具有感染性的离散SEIR传染病模型的动力学性态.定义了基本再生数,利用数学归纳法得到了模型解的非负性和有界性.通过构造合理的Lyapunov函数证明了平衡点的全局渐近稳定性.最后通过数值模拟验证了我们的理论结果. The dynamical behavior of discrete SEIR epidemic model with latent infection is studied.The basic reproductive number is defined,the nonnegativity and boundless of solutions are analyzed by inductive method.It is proved that the equilibrium is globally asymptotically stable by constructing reasonable Lyapunov function.Numerical simulations are done to show our theoretical results.
作者 马霞 陈娜
机构地区 太原工业学院理学系 周口师范学院数学学院
出处 《太原师范学院学报（自然科学版）》 2016年第1期19-22,共4页 Journal of Taiyuan Normal University:Natural Science Edition
基金 太原工业学院科技处基金(2015LQ19)
关键词 离散SEIR传染病模型 向后欧拉法 潜伏期感染 稳定性 Lynapunov函数 discrete SEIR model backward euler method latent infection stability Lyapunov function
分类号 O175 [理学—基础数学]
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参考文献11

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二级参考文献14

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太原师范学院学报（自然科学版）
2016年 第1期

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