TY - JOUR
T1 - Dynamical Analysis of a Delayed SIQS Epidemic Model on Scale-Free Networks
AU - Zhao , Rundong
AU - Liu , Qiming
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 561
EP - 576
PY - 2022
DA - 2022/06
SN - 3
DO - http://doi.org/10.12150/jnma.2021.561
UR - https://global-sci.org/intro/article_detail/jnma/20684.html
KW - Epidemic model, Network, Quarantine period, Stability.
AB - <p style="text-align: justify;">In this paper, we establish a novel delayed SIQS epidemic model on
scale-free networks, where time delay represents the average quarantine period.
Through mathematical analysis, we present the basic reproduction number $R_0.$ Then, we provide the global asymptotical stability of the disease-free
equilibrium and the local asymptotical stability of the endemic equilibrium.
Finally, we perform numerical simulations to verify the correctness of the main
results and analyze the sensitivity of parameters. Our research shows that
when $R_0 &gt; 1,$ lengthening the quarantine period can slow the spread of the
disease and reduce the number of infected individuals.</p>