含有患病鸟类迁入的禽流感动力学模型
发布时间：2019-04-01 19:30
【摘要】：禽流感是一种能够感染人畜的传染性疾病,野生鸟类在禽流感的传播与流行中起到不可忽视的作用.建立常微分方程模型来刻画禽流感在人类及禽类中的动态传播规律.模型包含患病鸟类的迁入,并且禽类和人类数量是可变的.通过构造适当的Liapunov函数及LaSalle不变性原理证明了平衡点的局部及全局稳定性.在病鸟类迁入率不为零时,利用Poincare-Bendixson定理证明了地方病平衡点的全局渐进稳定性.还对模型进行了仿真及敏感性分析,讨论了含患病鸟类的迁入对禽流感流行的影响以及控制禽流感应采取的措施,为控制禽流感疫情提供理论基础.
[Abstract]:Avian influenza is an infectious disease that can infect people and animals. Wild birds play an important role in the spread and epidemic of avian influenza. An ordinary differential equation model was established to describe the dynamic transmission of avian influenza in human and poultry. The model contains the migration of sick birds, and the number of birds and humans is variable. The local and global stability of the equilibrium point is proved by constructing appropriate Liapunov function and LaSalle invariance principle. When the migration rate of sick birds is not 00:00, the global asymptotic stability of endemic equilibrium points is proved by using Poincare-Bendixson theorem. Simulation and sensitivity analysis of the model were carried out, and the influence of the migration of sick birds on the epidemic of avian influenza was discussed, and the measures to control avian influenza were also discussed in order to provide a theoretical basis for controlling the epidemic situation of avian influenza.
【作者单位】： 中国矿业大学(北京)管理学院;中国矿业大学(北京)资源与环境政策研究中心;中国矿业大学(北京)地球科学与测绘工程学院;
【分类号】：O175
本文编号：2451824
[Abstract]:Avian influenza is an infectious disease that can infect people and animals. Wild birds play an important role in the spread and epidemic of avian influenza. An ordinary differential equation model was established to describe the dynamic transmission of avian influenza in human and poultry. The model contains the migration of sick birds, and the number of birds and humans is variable. The local and global stability of the equilibrium point is proved by constructing appropriate Liapunov function and LaSalle invariance principle. When the migration rate of sick birds is not 00:00, the global asymptotic stability of endemic equilibrium points is proved by using Poincare-Bendixson theorem. Simulation and sensitivity analysis of the model were carried out, and the influence of the migration of sick birds on the epidemic of avian influenza was discussed, and the measures to control avian influenza were also discussed in order to provide a theoretical basis for controlling the epidemic situation of avian influenza.
【作者单位】： 中国矿业大学(北京)管理学院;中国矿业大学(北京)资源与环境政策研究中心;中国矿业大学(北京)地球科学与测绘工程学院;
【分类号】：O175
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