Wang, Haibo; Jin, Zhen; Zhang, Juping; Zhang, Fengqin Stability analysis of an SIRS model with time-delay on scale-free network. (Chinese. English summary) Zbl 1349.34354 Math. Pract. Theory 45, No. 3, 308-314 (2015). Summary: We consider an SIRS epidemic model with time-delay on an uncor-related scale-free network, and investigate the dynamical behavior of the model. When the basic reproduction number is less than unity, by a Lyapunov function the global asymptotic stability of the disease-free equilibrium is established. On the other hand, there is a unique endemic equilibrium when the basic reproduction number is greater than one and the disease is permanent. MSC: 34K60 Qualitative investigation and simulation of models involving functional-differential equations 92D30 Epidemiology 34K20 Stability theory of functional-differential equations 34K25 Asymptotic theory of functional-differential equations Keywords:scale-free network; time-delay; the basic reproduction number; global stability; permanence PDFBibTeX XMLCite \textit{H. Wang} et al., Math. Pract. Theory 45, No. 3, 308--314 (2015; Zbl 1349.34354)