A time-delay COVID-19 propagation model considering supply chain transmission and hierarchical quarantine rate

Advances in Difference Equations

article

Yang, Fangfang¹  Zhang, Zizhen¹ 

[1] School of Management Science and Engineering, Anhui University of Finance and Economics

关键词: Delays;    Supply chain transmission;    Hierachical quarantine rate;    Bifurcation;    Stability;    SEIQR COVID-19 virus propagation model;   

DOI  :  10.1186/s13662-021-03342-8

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this manuscript, we investigate a novel Susceptible–Exposed–Infected–Quarantined–Recovered (SEIQR) COVID-19 propagation model with two delays, and we also consider supply chain transmission and hierarchical quarantine rate in this model. Firstly, we analyze the existence of an equilibrium, including a virus-free equilibrium and a virus-existence equilibrium. Then local stability and the occurrence of Hopf bifurcation have been researched by thinking of time delay as the bifurcation parameter. Besides, we calculate direction and stability of the Hopf bifurcation. Finally, we carry out some numerical simulations to prove the validity of theoretical results.

【 授权许可】

CC BY