具有不同群体的区分高低危人群的H7N9禽流感模型
H7N9 Avian Influenza Model with Different Groups to Distinguish Between High and Low Risk Groups
薛晶晶 1程纯纯 1李毅伟1
作者信息
- 1. 山西农业大学基础部,山西 太谷 030801
- 折叠
摘要
为了研究H7N9的传播过程,考虑到养殖场禽类与菜市场禽类对人类的传染率不同,建立了具有不同群体的区分高低危人群的H7N9禽流感模型.通过动力学分析,得到模型的基本再生数及平衡点的存在性,并利用雅克比矩阵和Lyapunov函数给出了系统平衡点的稳定性条件.最后通过数值模拟验证了理论结果并给出了预防禽流感的有效措施.
Abstract
In order to study the transmission process of H7N9,taking into account the different transmission rates of poultry in farms and poultry in vegetable markets to humans,an H7N9 avian influenza model with different groups of high and low risk groups was estab-lished.Through dynamic analysis,the basics of the model were obtained.The existence of the regeneration number and the equilibrium point,and the Jacobian matrix and Lyapunov function are used to give the stability conditions of the system equilibrium point.Finally,the theoretical results are verified by numerical simulation and effective measures to prevent avian influenza are given.
关键词
禽流感/基本再生数/高低危人群/Lyapunov函数/稳定性Key words
avian influenza/basic reproduction number/high and low risk groups/Lyapunov function/stability引用本文复制引用
基金项目
山西农业大学青年科技创新基金(2019008)
山西农业大学青年科技创新基金(2020QC15)
山西省高等学校科技创新项目(2020L0172)
出版年
2024
NETL
NSTL
万方数据