%0 Journal Article
%A GUO Hongli
%A XIE Jingli
%A ZHANG Meiyang
%T Dynamic Analysis of a Delayed Epidemic Model Affected by Disease Awareness
%D 2023
%R 10.13438/j.cnki.jdzk.2023.05.002
%J Journal of Jishou University(Natural Sciences Edition)
%P 6-17
%V 44
%N 5
%X An SEIM delayed epidemic model affected by disease awareness and incubation period is established,the basic regeneration number of the model is given,and the existence and stability of the disease-free equilibrium point and the endemic equilibrium point of the model are analyzed.The results show that the Hopf bifurcation occurs in the model at the corresponding critical value τ_{0} generated by the incubation period,and the stable state of the two equilibrium points changes.When τ is fixed,with the increase of media coverage,the stronger the awareness of disease among susceptible people and the smaller the number of infected people,the easier it is to control the disease.
%U https://zkxb.jsu.edu.cn/EN/10.13438/j.cnki.jdzk.2023.05.002