摘要
为了研究H7N9禽流感病毒的传播过程,考虑到有染病禽类输入和无染病禽类输入以及禽类的因病死亡率对模型的影响,得到禽类-人类动力学模型.针对两种不同的情况,得到了系统平衡点的存在性及基本再生数,并通过构造Lyapunov函数及利用Bendixson-Dulac定理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.
This paper studies the avian human dynamics model of H7N9 avian influenza virus transmission. To take the input of infected birds and non infected birds and the impact of the mortality of poultry on the model into consideration, the model of avian human is improved. Thus, the existence of equilibrium of the system and basic regeneration number are obtained in the two cases. The stability condition of the equilibrium point of the system is given by the construction of the I.yapunov function and the usage of the Bcndixson-Dulac theorem. Finally, the theoretical results are validated by numerical simulation and the paper comes up with the effective measures to prevent avian influenza.
作者
薛晶晶
张权义
XUE Jing jing;ZHANG Quan yi(Shanxi Agricultural University, College of Arts and Sciences, Taigu Shanxi 030801 ,China)
出处
《大学数学》
2018年第2期7-13,共7页
College Mathematics
基金
山西农业大学科技创新基金(2016018)
关键词
禽流感
数学模型
基本再生数
稳定性
数值模拟
H7N9 avain influenza
Mathematical model
Basic reproduction number
Stability
Numerical simulation
