摘要
本文建立了一类具有时间延迟型的禽流感模型.通过构造适当的Lyapunov函数来证明平衡点的稳定性,由此得出,当R0<1时,无病平衡点E0是全局渐近稳定的,疾病将消亡;当R0>1时,存在地方病平衡点E*是全局渐近稳定的,疾病将会持续.利用时间延迟抑制禽流感的暴发.
A time-delayed avian influenza model is established in this paper.We constructed appropriate Lyapunov functions to prove the stability of the equilibrium point.It is concluded that the disease-free equilibrium point E0 is globally asymptotically stable when R0<1,and the disease will disappear.The endemic equilibrium point E*is globally asymptotically stable when R0>1,and the disease will persist.Time delay can be used to suppress the outbreak of avian influenza.
作者
戴晓娟
DAI Xiaojuan(Ningxia Normal University,School of Mathematics and Computer Science,Guyuan Ningxia 756000)
出处
《宁夏师范学院学报》
2021年第1期5-10,15,共7页
Journal of Ningxia Normal University
基金
宁夏自然科学基金资助项目(2020AAC03265).
关键词
延迟
禽流感
稳定性
阈值
Delay
Avian influenza
Stability
Popular threshold
